Multiple Intrusion Detection Using Shapley Additive Explanations and a Heterogeneous Ensemble Model in an Unmanned Aerial Vehicle’s Controller Area Network

Abstract

Recently, methods to detect DoS and spoofing attacks on In-Vehicle Networks via the CAN protocol have been studied using deep learning models, such as CNN, RNN, and LSTM. These studies have produced significant results in the field of In-Vehicle Network attack detection using deep learning models. However, these studies have typically addressed studies on single-model intrusion detection verification in drone networks. This study developed an ensemble model that can detect multiple types of intrusion simultaneously. In preprocessing, the patterns within the payload using the measure of Feature Importance are distinguished from the attack and normal data. As a result, this improved the accuracy of the ensemble model. Through the experiment, both the accuracy score and the F1-score were verified for practical utility through 97% detection performance measurement.

1. Introduction

As unmanned aerial vehicle (UAV) [1] and Internet of Things (IoT) technologies are developing, they are used for weather observation [2], agriculture [3], and military purposes [4]. However, not only physical signal attacks, such as GPS Signal Spoofing and Jamming Signals [5] but also malware and malicious communication attacks, such as spoofed signals, are being launched [6]. These attacks are classified as a major threat because they can also be used against unmanned aerial vehicles (UAVs). Accordingly, cyber-attack attempts targeting unmanned aerial vehicles (UAVs) are increasing [7], and research to detect them is actively underway [8,9]. These include spoofing, Denial of Service (DoS), and Replay attacks on CAN protocols against UAVs [10].

Research using machine learning (ML) and deep learning (DL) models to detect network intrusions occurring in the CAN protocol [11] is also underway, but the performance of these models is not stable because the feature learning process of ML/DL models cannot be verified. Unfortunately, researchers cannot utilize the patterns analyzed by the ML/DL model [12,13,14,15,16]. In addition, stacking techniques that use an ensemble of different types of models are being used to improve detection, but this results in poor performance. Recently, it has become possible to analyze the Feature Importance and SHAP value of ML/DL models using Lunderberg’s explainable artificial intelligence (XAI) research [15,16] and the SHAP technique. Solved cases [17,18] are also emerging.

This study validates an ensemble model that can simultaneously detect more than one intrusion in a drone network. Related studies have typically addressed studies on single-model intrusion detection verification in drone networks [19,20,21]. Our hypothesis proposes a way to effectively identify multiple needle types through ensemble models. This ensemble model uses a stacking method that combines a single model trained for the binary classification of each attack. Therefore, this study will extend the detection range by utilizing an assembled ensemble model based on performance evaluation and feature importance analysis on ML/DL models trained on individual attacks. Additionally, this study will validate an effective ensemble method for detecting multiple intrusions by analyzing ML/DL models using SHAP value analysis.

2. Related Works

2.1. Controller Area Network (CAN) Protocol

The CAN protocol [9] is a message-oriented protocol for communication between the ECU, sensors, and control equipment in a car. According to

Table 1. Classification of tasks by layer.

Layer	Description
Application	Performs vendor-defined tasks
Object (Presentation)	Performs message processing
Transfer	Performs message transmission-reception and detects signal defects and message errors
Physical	Defines how to convert physical signals such as signal level and optimization

, the CAN protocol is composed of the Application, Object, Transfer, and Physical layers. Unlike the existing UART’s point-to-point method, which uses a 1:1 dedicated line for data communication, the multi-master method reduces the car’s weight by using less wiring, thereby reducing the price.

To share instructions directly with the drone, the UAVCAN payload of CAN 2.0 B is used, and the structure is shown in Figure 1. The task to be performed by the drone and the status information are stored in the transfer payload, which consists of a total of 8 bytes. Therefore, fuzzy and relay attacks on drone center on the CAN payload packets.

2.2. Network Intrusion Detection Model for CAN Protocol

There are five main types of attack that mainly occur via the UAVCAN protocol [11]. DoS is an attack that paralyzes the system resources and delays work by injecting a large amount of data into a specific system or network.

Table 2. CAN attack machine learning-based detection research.

Model	Paper	Platform
LSTM (Long Short-Term Memory) Model	Tlili, F., Ayed, S., and CHAARI FOURATI, L. (2023, August) [22]	In-Drone Network
Ensemble Learning Model	Hoang, T. N., Islam, M. R., Yim, K., and Kim, D. (2023) [23]	In-Vehicle Network
Support Vector Machine	Tanksale, V. (2019, November) [24]	In-Vehicle Network
Random Forest	Alsoliman, Rigoni, G., Callegaro, D., Levorato, M., Pinotti, C. M., and Conti, M. (2023) [25]	In-Drone Network
Support Vector Machine	Moulahi, T., Zidi, S., Alabdulatif, A., and Atiquzzaman, M. (2021) [26]	In-Vehicle Network
Deep Neural Network	Kang, M. J., and Kang, J. W. (2016) [27]	In-Vehicle Network
Convolutional Neural Network	Javed, A. R., Ur Rehman, S., Khan, M. U., Alazab, M., and Reddy, T. (2021) [28]	In-Vehicle Network
Deep Auto Encoder	Kou, L., Ding, S., Wu, T., Dong, W., and Yin, Y. (2022) [29]	In-Drone Network
Convolutional Neural Network	Song, H. M., Woo, J., and Kim, H. K. (2020) [30]	In-Vehicle Network
Recurrent Neural Network	Tariq, S., Lee, S., Kim, H. K., and Woo, S. S. (2020) [31]	In-Vehicle Network
GAN	Seo, E., Song, H. M., and Kim, H. K. (2018, August) [32]	In-Vehicle Network
K-Means	Qin, H., Yan, M., and Ji, H. (2021) [33]	In-Vehicle Network
FedAvg algorithm	Khan, M. H., Javed, A. R., Iqbal, Z., Asim, M., and Awad, A. I. (2024) [34]	In-Vehicle Network
ICV Test	Zhang, H., Wang, J., Wang, Y., Li, M., Song, J., and Liu, Z. (2023) [35]	In-Vehicle Network
ECDSA-CMAC algorithm	Adly, S., Moro, A., Hammad, S., and Maged, S. A. (2023) [36]	In-Vehicle Network
Hamming distance detection algorithm	Fang, S., Zhang, G., Li, Y., and Li, J. (2024) [37]	In-Vehicle Network
Graph-based detection system	Islam, R., Refat, R. U. D., Yerram, S. M., and Malik, H. (2020) [38]	In-Vehicle Network

shows studies on detecting network intrusion in the CAN protocol.

This paper targets DoS using the flooding method, which injects messages into the CAN bus at 15 ms intervals.

In a fuzzy attack, the assailant injects a message using a dictionary or brute force method to infer a valid CAN ID [13].

A replay attack intercepts a valid message and maliciously retransmits it, disguising it as a valid message and repeating a specific action [39]. Spoofing is an attack that disguises the CAN ID of a specific message and tricks other nodes in the CAN bus into performing the task intended by the attacker. Impersonation disguises a message as an appropriate node in CAN communication and performs malicious attacks or data modification on the other nodes. Research on the detection models of network attacks that use CAN packets is shown in Figure 2.

2.3. SHAP

SHAP (Shapley Additive Explanations) [40] calculates the value for each feature in a machine learning model, helpings humans to understand their influence. The SHAP value is calculated using the conditional expected value function of the machine learning model. The Shapley value is a solution that distributes the total gain obtained through cooperation among game participants based on their marginal contribution.

The Shapley regression value assigns importance (an importance value) to each variable based on how much it affects the model’s performance during learning.

This is the equation used to determine the Shapley interaction value:

$${\phi (f,x)}^{}=\sum _{z^{\prime }\subseteq x^{\prime }}\frac{\left|z^{\prime }\right|!\left(M-\left|z^{\prime }\right|-1\right)!}{M!}\left[f_x\left(z^{\prime }\right)-f_x(z^{\prime }\backslash i)\right]$$

(1)

where f represents the model, M denotes the number of x′, and x′ describes the simplified input transformed from the original using a mapping function x = hx(x′).

Hx maps 1 or 0 onto the original input space, where 1 indicates that the input is included in the model and 0 denotes exclusion from the model. |z′| represents the number of non-zero entries in z′, and z′ ⊆ x′ denotes all the z′ vectors, where the non-zero entries are a subset of the non-zero entries in x′. Feature importance using the Shapley value is calculated using Equation (2).

$$I_j=\sum _{i=1}^n\left|{\phi }_j^{\left(i\right)}\right|$$

(2)

The Shapley value assigns importance to each feature that represents an effect on model prediction. The effect of the i-th feature is computed as the difference between a model trained with the i-th feature and another model trained with a different feature. Since the effect of withholding a feature depends on the other features in the model, the preceding differences are computed for all the possible subsets z′\i [15]. As a result, the Shapley value is the weighted average of all the possible differences, representing a unique additive feature attribution method that satisfies all three axioms (local accuracy, missingness, and consistency). The SHAP value in machine learning is designed to align closely with the Shapley value, using conditional expectations to define the simplified inputs. Ref. [9] of Feature Importance in a linear model with multicollinearity. Although multicollinearity is a property that violates the independence assumption in linear models, the Shapley regression value can be used even in linear models with multicollinearity.

2.4. Explainable Artificial Intelligence (XAI)

According to Capuano, N., Fenza, G., Loia, V., and Stanzione, C. (2022) [39], artificial intelligence models, such as machine learning and deep learning, have important impacts on cyber security due to the opacity of the internal mechanisms. This is of limited use in areas where decisions are needed. However, if explainability is provided by the AI model using techniques such as SHAP [40] or LIME [41], a novel auto-encoding-based scheme for the LSTM model [22], and sufficient framework-related research is conducted, it can satisfy the transparency required in the cyber security area. A post-analysis of AI models and a reduction in workload using AI models are to be expected. Additionally, in another study [42], as a result of reviewing other related techniques, XAI was found to have the potential to develop into TAI using a framework, although there are limitations, such as the “post-explainability, replicability of methodology” and a lack of “integrated understanding”.

2.5. Deep Neural Network Model

The DNN (Deep Neural Network) model conducts representative deep learning and consists of several hidden layers between the input and output. These DNN models can be applied to classification and regression problems, and one representative is the YouTube video recommendation algorithm [42].

On the other side, the RNN (Recurrent Neural Network) model is similar to the DNN model, but the hidden layer is composed of Recurrent Cells, so it can store old information and make predictions about the sequence. When learning long-term relationships, the weight of the model becomes extremely small or large, so an LSTM model that introduces Memory Cells instead of Recurrent Cells is mainly used for time series analysis. The differences between DNN, RNN, and LSTM models are listed in

Table 3. Diagram of deep learning models [43].

Legend of Layers	DNN	RNN	LSTM

.

2.6. Attack Scenario Analysis

Related UAV studies have concluded that users have a specific control pattern according to their flight altitude, which occurs in repeated transmissions of specific control messages [43,44]. These patterns may contain unbalanced datasets in the networks of each UAV. However, this study hypothesized a real-world scenario where UAVs receive unbalanced network messages.

2.6.1. Flooding Attack Scenario Analysis

Flooding is a type of denial-of-service (DoS) attack that consists of two frames and injects them into the CAN bus. [45,46,47]. It is performed repeatedly in short cycles, delaying the transmission of messages via the CAN bus and consuming resources of the target ECU, thereby interfering with the service. Flooding mechanism is shown in Figure 3.

The flooding attack mechanism is executed at 0.005-s intervals, generates payloads consisting of 7 bytes and 8 bytes of data, respectively, modifies the message ID to ‘0 × 05040601’, and injects it into the CAN bus [45]. Therefore, the Motor ECU processes a payload consisting of 8 Bytes, and there may be a delay in processing the Main ECU’s message.

The flooding attack process was analyzed over time, as shown in

Table 4. Timeline of flooding attack scenario (types 01 and 02).

Timestamp (s)	10/20	30/40/50	60/70/80/90		100	110/120	130	140/150/160	170/180
status	Booting	Take Off	Hovering		Motors Stop	Motors Stop	Hovering	Motors Stop	Landing
Label	Normal	Normal	Flooding	Normal	Flooding	Flooding	Normal	Flooding	Normal

. It occurred between 50 s and 90 s, but the operation was normal. However, due to the flooding attack, the motor stopped from the 90 s to 120 s and 130 s to 160 s ranges.

The changes occurring on the CAN bus due to flooding attacks are presented in

Table 5. Message injection progress over time on CAN bus.

	Time(s)	1	2	3	4	5	6	7	8
ECU
Attacker		-	-	0 × 1	-	-	0 × 2	-	-
Main ECU		0 × 1	-	-	-	0 × 1	-	-	0 × 1
Motor ECU		0 × 2	-	-	-	-	-	0 × 2	-
CAN bus		0 × 1	0 × 2	0 × 1		0 × 1	0 × 2	0 × 2	0 × 1

.

The Main and Motor ECUs exchange messages on the CAN bus, and at this time, the attacker injects messages into the CAN bus. Therefore, the Motor ECU does not receive messages from the Main ECU, and processing delays occur, causing the UAV’s motor to stop operating.

Table 6. Structure of flooding payload.

Byte	[1]	[2]	[3]	[4]	[5]	[6]	[7]	[8]	[9]	[10]	[11]	[12]	[13]
8	08	A6	35	00	00	00	00	00	-	166	53	00	00
7	07	00	00	00	00	00	00	00	Null	00	00	00	00

provides details on the composition of flooding payloads.

There are two types of payloads injected by the attacker, with a data length of 8 bytes, and the Transfer ID is stored in the ninth data byte. The Transfer ID is an integer value used by the message and destination node to distinguish it from the other messages, and the payload adds one to the Transfer ID value of the previously transmitted message. Currently, the Transfer ID of the first flooding payload starts with 80.

The main features of the flooding payload are as follows: First, the data length is seven or eight. Second, the ninth data byte storing the Transfer ID increases by one. Third, the sixth and seventh data bytes are always 00.

2.6.2. Fuzzy Attack Scenario Analysis

Fuzzy attacks in scenario types 03 and 04 involve changing the message composition during injection until the attacker obtains the desired information or action. For the injected message, the message ID is set to ‘0 × 05040601’, and the data byte configuration is changed by brute forcing to a value between 0 and 255. Then, the message is injected at 0.001 s intervals. This fuzzy attack mechanism is written in Python code in Figure 4.

Table 7. Timeline of fuzzy attack scenario (types 03 and 04).

Timestamp (s)	10/20	30/40/50	60/70/80	90	100/110	120	130	140/150/160	170/180
Status	Booting	Hovering	Hovering Motors stop	Hovering	Hovering Motors stop	Hovering Motors stop	Hovering	Hovering Motors stop	Landing
Label	Normal		Fuzzy	Normal	Fuzzy	Fuzzy	Normal	Fuzzy	Normal

shows the timestamps of the UAV status during the fuzzy attack experiment. The UAV’s motor stopped when the fuzzy attack occurred.

2.6.3. Replay Attack Scenario Analysis

During a replay attack, the assailant collects normal messages in advance and repeatedly retransmits them to induce a specific action. In scenario types 05 and 06, this replay attack is performed when the message should be transmitted.

Replay attack types 05 and 06 have different conditions from the other scenarios.

Table 8. Dataset comparison by scenario.

Scenario Type	Number of Attacks	Interval (s)	Total Time (s)	Proportion of Label (Normal/Attack)
05	3	0.005	210	2.5:1
06	4	0.005	280	2:1

shows the difference in attack conditions between the two scenarios.

The Replay attack mechanism used in scenario types 05 and 06 is written in Python code in Figure 5.

3. Method and Materials

In this section, the dataset for each scenario type is analyzed. By comparing the SHAP analysis results of the attack scenario and the ML model, we confirmed whether the ML model effectively analyzes patterns within the dataset.

3.1. Dataset Preprocessing

The analyzed datasets were preprocessed as follows. The train/test datasets were split at a 7:3 ratio under the condition of stratifying the label. Timestamps were included for the time series LSTM [48] and simple RNN models, and the datasets with removed timestamps rows were used for the ML models. Additionally, in all the scenario-type datasets, there was an error of less than 2 s between the experiment on data collection and the collected dataset.

The proportion of each scenario type in the attack datasets is shown in

Table 9. Single attack dataset proportion.

Type 01. Dataset Proportion by Label	Type 02. Dataset Proportion by Label
Type 03. Dataset Proportion by Label	Type 04. Dataset Proportion by Label
Type 05. Dataset Proportion by Label	Type 06. Dataset Proportion by Label

.

The normal data are labeled 0, and the attack data are labeled 1. Types 01 and 03 have relatively balanced ratios, and types 02, 04, 05, and 06 have relatively unbalanced ratios. As a result of Pearson correlation analysis shown in

Table 10. Pearson correlation heatmap of the dataset by scenario type.

Pearson Correlation Heatmap (Type 01 Dataset)	Pearson Correlation Heatmap (Type 02 Dataset)
Pearson Correlation Heatmap (Type 03 Dataset)	Pearson Correlation Heatmap (Type 04 Dataset)
Pearson Correlation Heatmap (Type 05 Dataset)	Pearson Correlation Heatmap (Type 06 Dataset)

, the data length of all the scenario datasets shows a high correlation coefficient with the other data bits. It is assumed that the composition of the payload varies depending on the data length.

3.2. Experiment Model

The base model was constructed according to the performance evaluation results in Section 4. Experiment models constructed from each base model are represented as shown in Figure 6. Flooding was detected using the LSTM model, a fuzzy attack was detected using the LSTM model, and a replay attack was detected using the decision tree (DT) model, all under the same conditions as the models learned during performance evaluation.

3.3. Performance Evaluation Metrics

In this experiment, the relationship between the model’s detection results and the labels of the actual data was defined according to the confusion matrix in

Table 11. Confusion matrix.

		Label
		Positive	Negative
Prediction	Positive	TP (True Positive)	FP (False Positive)
	Negative	FP (False Negative)	TN (True Negative)

. A TP (True Positive) is when an actual attack is normally detected, an FN (False Negative) when an actual attack is not detected, an FP (False Positive) when a normal attack is detected, and a TN (True Negative) when a normal attack is classified as normal.

To verify the model, the TP, FP, TN, and FN data (classified according to the definition in Table 11) were substituted into the evaluation matrix definitions in

Table 12. Evaluation matrix definitions.

$Accuracy=\frac{TP+TN}{TP+TN+FP+FN}\ast 100$	$F1-Score=2\ast \frac{Precision\ast Recall}{Precision+Recall}\ast 100$
$\mathrm{Precision}=\frac{TP}{TP+FP}\ast 100$	$\mathrm{R}\mathrm{e}\mathrm{c}\mathrm{a}\mathrm{l}\mathrm{l}=\frac{TP}{TP+FN}\ast 100$

.

Accuracy is an indicator of how well a model classifies actual data and is a commonly used indicator for model evaluation. However, the bias problem caused by model over-fitting can be overlooked, so it is used together with the F1-Score indicator, which consists of precision and recall.

3.4. Experiment Environment

This experiment was conducted in a computing environment consisting of 32 GB of memory, CPU AMD Ryzen 7 5700X, and GPU NVIDIA GeForce RTX 3060. The hyperparameter settings for each model are as presented in

Table 13. Hyperparameter for each model.

Model	Hyperparameter
Logistic Regression	n_jobs = 1
K-Neighbors Classifier	n_neighbors = 5
Decision Tree #1	max_depth =5
Decision Tree #2	max_depth =15
Random Forest Classifier	n_estimators = 50
DNN #1	input_shape = 9, hidden layer 01(relu) shape = 4, hidden layer 02(relu) shape = 3, output layer(sigmoid) shape = 1 Epoch = 20
DNN #2	input_shape = 9, hidden layer 01(relu) shape = 4, hidden layer 02(relu) shape = 3, output layer(sigmoid) shape = 1, Epoch = 30
RNN	Optimizer = ’Adam’, Loss = ’binary cross entropy’, Epochs = 30, batch size = 128, verbose = 2
LSTM	Input_shape = 9, Hidden layer 01(LSTM) shape = 32, Hidden Layer 02(LSTM) shape = 16, Flatten layer shape = 144, Hidden Layer 03(Dense) shape = 8, Output Layer shape(sigmoid) = 2

.

The criteria used to evaluate the performance of each model are as follows. The elements of each matrix, a TP, an FP, a TN, and an FN, follow the definition of a confusion matrix.

4. Experiment Results

4.1. SHAP Value Analyses

In this experiment, to utilize the effective SHAP analysis technique, for each scenario, the dataset consists of 13 bytes that make up the payload section of messages exchanged on the CAN bus. Each byte stores information such as message ID, CAN ID, data, and CRC details. The patterns within the payload are analyzed through SHAP to distinguish between attack data and normal data. Finally, SHAP value analyses with Tree Explainer (XG Boost) were performed on the datasets for each scenario to measure the SHAP interaction value between feature importance and the important features.

4.1.1. Flooding Scenario Dataset Analysis

As a result of the SHAP analysis of flooding scenario datasets (scenario types 01 and 02), the ninth and seventh data bytes and the data length were determined to be the most important features. These results are consistent with the flooding payload analysis analyzed in

Table 14. SHAP analysis for scenario type 01.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 01 Dataset)	Feature Importance determined using Tree Explainer (Type 01 Dataset)
Comparison of SHAP Value distribution of 7th Data and 6th Data	Comparison of SHAP Value distribution of 9th Data and Data Length

. This model analyzed the key features of the flooding payload, such as the data length and Transfer ID.

Table 15. SHAP analysis for scenario type 02.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 02 Dataset)	Feature Importance determined using Tree Explainer (Type 02 Dataset)
Comparison of SHAP Value distribution of 9th Data and 7th Data	Comparison of SHAP Value distribution of 7th Data and 9th Data

shows the SHAP value distribution among the feature values, Feature Importance, and important features determined via the analysis of the scenario type 01 dataset. In the feature value graph, you can see that data length is concentrated around two values near the SHAP value of 0.0. This shows that the data lengths of the flooding payload are all seven and eight, and feature values are concentrated in that section. Additionally, the blue dots with relatively low feature values are concentrated in the range from −0.6 to −0.2 based on the SHAP value, and most of the normal driving data are distributed with a length other than seven or eight.

Figure 7 shows a SHAP force plot for three random rows of data. The red section represents where the SHAP value is high, and the blue section denotes where the SHAP value is low. The ninth data byte and data length of the first and second graphs in Figure 7 are clearly different from those in the third graph. This means that the flooding payload has a feature for flooding attacks in the ninth data byte and is judged according to the data length. We can confirm that the evidence has been classified.

SHAP value analysis was performed on the data length, which had a high correlation coefficient with other data, and the ninth data byte, which had the highest feature importance value.

Scenario datasets 01 and 02 are related to flooding attacks, and in the SHAP analysis results shown in Figure 8, the sixth, seventh, and ninth data bytes were commonly selected as important features. Additionally, when analyzing the SHAP value distribution of the sixth and seventh data bytes in scenario type 01, a specific pattern emerged.

Table 15 shows the SHAP value distribution between the feature values, Feature Importance, and important features through the analysis of the scenario type 02 dataset. It presents the analysis of the same flooding attack dataset as Table 14 does. Therefore, in the Feature Importance graph, the ninth and seventh data bytes and the data length are selected as important features. However, in the SHAP value distribution graph, both the blue and red dots show a more biased distribution, and because type 02 has a higher unbalanced normal–attack ratio than type 01 does, SHAP analysis was performed. It is estimated that the Tree Explainer model of type 02 was more over-fitted compared to type 01.

The Feature Importance for each scenario type dataset was subjected to SHAP value analysis based on the XG boost model as follows. The datasets of scenario types 1 and 2—containing flooding attack data, which represent a DDoS attack—were collected. The ninth, seventh, and sixth data bytes and the data length are commonly measured because they are highly important. They were consistently observed despite the difference in proportions between the two datasets.

4.1.2. Fuzzy Attack Scenario Dataset Analysis (Types 03 and 04)

We can check the features of the fuzzy attack through the SHAP value distribution graph in

Table 16. SHAP analysis for scenario type 03.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 03 Dataset)	Feature Importance determined using Tree Explainer (Type 03 Dataset)
Comparison of SHAP Value distribution of 12th Data and 11th Data	Comparison of SHAP Value distribution of 11th Data and 12th Data

. Except for the data length, all data byte items have high feature values in the section with a high SHAP value and low feature values in the section with a low SHAP value. This is presumed to be a pattern caused by the attacker injecting the payload using the brute forcing method. Therefore, unlike the previous flooding dataset, the feature importance of data length was relatively low.

Figure 9 shows the SHAP force plot for three rows of the scenario dataset. We checked if the pattern matched the previous SHAP analysis. Unlike the flooding dataset, a different data byte was selected for each row, and the SHAP value was analyzed separately. It was found that the fuzzy attack method was brute forcing for each data byte.

Table 17. SHAP analysis of scenario type 04.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 04 Dataset)	Feature Importance determined using Tree Explainer (Type 04 Dataset)
Comparison of SHAP Value distribution of 12th Data and 9th Data	Comparison of SHAP Value distribution of 11th Data and 12th Data

shows a dataset for the same fuzzy attack as scenario type 03, but it is unbalanced due to the low quantity of attack data. However, in the section where the SHAP value is high, the feature value is high, the data length is unimportant, and the SHAP value distribution between the features is clustered in blue and red.

The above pattern can be confirmed in the SHAP force plot for three random rows shown in Figure 10. In all three rows, the SHAP value was high in the section with a low base value, and the SHAP value was low in the section with a high base value, and the target features were also different for each row.

4.1.3. Replay Attack Scenario Dataset Analysis (Types 05 and 06)

Table 18. SHAP analysis for scenario type 05.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 05 Dataset)	Feature Importance determined using Tree Explainer (Type 05 Dataset)
Comparison of SHAP Value distribution of 7th Data and 6th Data	Comparison of SHAP Value distribution of 11th Data and 9th Data

shows a graph of the SHAP value analysis results for scenario type 05, which represents replay attacks. In the SHAP value distribution plot of the sixth, seventh, ninth, and eleventh data bytes, the blue and red dots are more clustered than the other previous datasets. This is presumed to be a result of the replay attack’s principle of injecting the same payload repeatedly. Therefore, the normal driving data in various forms can be classified into blue dots with low SHAP values and clustered in a straight line.

The pattern of the above replay attack can be seen in the SHAP force plot in Figure 11. It is observed that the SHAP value for some features is not high due to the repeated injection of the replay’s payload, and instead, the SHAP value is evenly distributed for several features. This model analyzes whether it is a replay payload by studying the data bytes of the entire message rather than finding attack patterns in other features.

Table 19. SHAP analysis for scenario type 06.

SHAP Value Distribution by Feature determined using Tree Explainer (Type 06 Dataset)	Feature Importance determined using Tree Explainer (Type 06 Dataset)
Comparison of SHAP Value distribution of 7th Data and 6th Data	Comparison of SHAP Value distribution of 11th Data and 6th Data

consists of a SHAP value distribution plot, a feature importance plot, and a distribution graph showing the SHAP and feature values for each element for scenario type 06, which contains the replay attack data presented in Table 19. We can see the clustering of blue and red dots in the SHAP value distribution plot of the sixth and seventh data bytes.

In Figure 12, unlike Figure 11, the features with high SHAP values can be observed, which suggests that scenario type 06 collected more diverse normal driving data than scenario type 05 did. This is because the dataset of scenario type 06 consists of more rows of data, and the quantity of attack data is also higher.

4.1.4. Single Model Results Analysis

The accuracy, precision, recall, and F1-score in Table 12 were used as the indicators of model performance evaluation, and the performance evaluation results for each attack are shown in

Table 20. Evaluation results for each single model.

< Results of Scenario Type 01 >					< Results of Scenario Type 02 Accuracy >
Model	Accuracy	Precision	Recall	F1-Score	Model	Accuracy	Precision	Recall	F1-Score
LR **	98.02%	96.60%	100%	98.02%	LR **	97.77%	91.43%	100%	97.77%
KNC **	98.63%	97.62%	100%	98.63%	KNC **	98.51%	97.62%	100%	98.51%
DT ** #1	98.44%	97.29%	100%	98.44%	DT ** #1	98.00%	92.26%	100%	98.00%
DT ** #2	98.63%	97.62%	100%	98.79%	DT ** #2	96.97%	94.13%	100%	98.51%
RFC **	98.63%	98.63%	100%	98.80%	RFC **	96.98%	94.14%	100%	98.51%
DNN #1	98.54%	97.61%	49.44%	99.00%	DNN #1	98.29%	93.73%	100%	97.92%
DNN #2	98.40%	97.56%	100%	71.95%	DNN #2	98.25%	93.09%	100%	98.24%
RNN	98.78%	56.19%	100%	98.78%	RNN	98.51%	94.04%	100%	96.98%
LSTM	98.62%	97.61%	100%	98.78%	LSTM	96.98%	94.14%	100%	96.98%
< Results of Scenario Type 03 Accuracy >					< Results of Scenario Type 04 Accuracy >
Model	Accuracy	Precision	Recall	F1-Score	Model	Accuracy	Precision	Recall	F1-Score
LR **	93.38%	91.43%	100%	93.38	LR **	79.41%	82.80%	76.28%	79.41%
KNC **	97.93%	97.62%	100%	97.93	KNC **	94.48%	97.60%	91.56%	94.48%
DT ** #1	98.39%	96.96%	99.81%	98.36%	DT ** #1	95.51%	98.09%	93.05%	95.51%
DT ** #2	98.39%	94.13%	100%	99.51%	DT ** #2	98.69%	99.13%	98.22%	98.69%
RFC**	99.61%	94.14%	100%	99.65%	RFC **	98.86%	99.45%	98.22%	98.86%
DNN #1	95.08%	93.73%	100%	95.08%	DNN #1	90.04%	85.03%	89.47%	73.34%
DNN #2	96.64%	93.09%	100%	96.94%	DNN #2	94.27%	83.83%	93.74%	87.67%
RNN	99.18%	94.04%	100%	99.15%	RNN	98.99%	85.86%	89.44%	97.67%
LSTM	98.95%	94.14%	100%	98.92%	LSTM	99.02%	98.95%	96.64%	97.74%
< Results of Scenario Type 05 >					<Results of Scenario Type 06>
Model	Accuracy	Precision	Recall	F1-Score	Model	Accuracy	Precision	Recall	F1-Score
LR **	79.76%	73.88%	43.01%	79.76%	LR **	86.92%	86.96%	71.87%	86.92%
KNC **	95.89%	96.02%	89.02%	95.88%	KNC **	98.77%	98.02%	98.34%	98.18%
DT ** #1	92.20%	56.15%	89.24%	84.42%	DT ** #1	92.68%	99.16%	86.99%	92.67%
DT ** #2	97.41%	98.76%	91.97%	97.41%	DT ** #2	99.46%	99.18%	99.74%	99.46%
RFC **	97.84%	98.81%	93.41%	97.84%	RFC **	99.60%	99.27%	99.90%	99.74%
DNN #1	82.69%	88.67%	32.68%	82.69%	DNN #1	84.34%	73.70%	80.67%	78.30%
DNN #2	84.11%	80.64%	69.54%	84.11%	DNN #2	90.88%	84.17%	86.33%	84.47%
RNN	89.45%	56.15%	89.24%	89.98%	RNN	98.33%	96.76%	78.01%	97.53%
LSTM	94.48%	97.36%	87.50%	89.45%	LSTM	98.51%	98.14%	98.07%	97.80%

** LR: Logistic Regression, KNC: K-Neighbors Classifier, DT: Decision Tree, RFC: Random Forest Classifier.

.

Scenario types 1 and 2 are flooding attack datasets, representing a type of DoS attack. Despite how the timestamps and data are ordered, the time series analysis RNN and LSTM models show an excellent performance of over 95% in accuracy, and their F1-Score indicators are shown. In addition, scenario types 3 and 4, which represent fuzzy attack datasets, and scenario type 6, which is a relay attack dataset, showed an excellent performance of over 95% in both accuracy and the F1-Score indicators. However, in scenario type 5’s dataset, the F1-Score of both models fell below 90%. On the other hand, the LSTM model used for time series analysis shows an accuracy of over 99% [22].

The decision tree single model, Random Forest, K-Neighbors Classifier, and dual classification DNN models showed excellent performances in the accuracy and F1-Score indicators of over 95% in all the datasets, but the logistic regression model’s accuracy varied between 79% and 97%. The F1-Score of the ML model is 97%, which is like the existing model. Over-fitting due to data imbalance was not observed.

In the performance evaluation in Section 3.2, the best models of each attack type were selected as base models to design a stacking-based ensemble model.

The base models independently detect flooding, fuzzy, and replay attacks from the input CAN Traffic Data and deliver these detection results to the meta model shown in

Table 21. Base model Analysis results for each attack.

Flooding-fuzz	Fuzz-flooding
Replay flooding	Heatmap of Pearson correlation

. The decision tree-based metamodel synthesizes the detection results of each base model to determine whether an attack has occurred in a binary sense.

As a result of analyzing the SHAP value interaction and Pearson correlation of the detection results of each base model, it is estimated that the correlation and similarity between the detection results of the replay and fuzzy models are high.

4.2. Experiment Model Results

The LSTM model learned about the flood and fuzzy models for over 20 epochs, and the accuracy of the two models was over 98% during the training and testing processes. The accuracy changes according to the learning process are shown in

Table 22. Optimization of flood and fuzzy models.

Flood	Fuzzy

.

Unlike the previous two models, the decision tree model learned about the replay model, with the max depth set to five, and its performance was evaluated in Figure 13. Replay attacks were detected with an accuracy and an F1-Score of over 97%. Through tree visualization, it was confirmed that the model underwent balanced training.

The model that assembled these base models had an accuracy of 83%, a precision of 62%, and an F1-Score of 68%. Therefore, the cause of the poorer performance compared to that of the existing base model was determined through SHAP analysis in Section 4.1.

4.3. Result Analysis

In this experiment, the timestamps were removed from the DL models that performed time series analysis, such as the RNN, LSTM, and ML models, and the experiments were conducted to detect fuzzing, flooding, and relay attacks by learning data with shuffled data sequence. All the models showed significant detection performances.

In addition, by conducting SHAP on the detection performance, it was found that the models learned the data bytes associated with the algorithm used in each attack as a meaningful feature.

Although it was effective in the binary classification of a single attack through a single model, the performance of the binary classification of multiple attack types using a stacking model was poor. Looking at the SHAP analysis and correlation analysis results, it is assumed that the replay and fuzzy models have a high correlation in the detection results, causing overfitting in the ensemble model through stacking, adversely affecting their performance.

5. Discussion and Conclusions

According to the experiments proposed in this study, the LSTM model showed relatively lower performance when learning non-timeline data than timeline data. In this experiment, the Feature Importance and SHAP force plot confirmed more than 96% of both the accuracy score and the F1-score performance for intrusion in the drone network. These results are due to the fact that the Explainer model has the ability to select the intrusion pattern in the payload of the single model.

This study developed an ensemble model that can simultaneously detect multiple types of intrusion. In preprocessing, the patterns within the payload using a measure of Feature Importance were distinguished from attack and normal data, and as a result, improved the accuracy of the ensemble model. Through the experiment, both the accuracy score and F1-score were verified for practical utility through 97% detection performance measurement. However, it is also necessary to reconsider the limitation of three types of intrusion in this study. In future work, we plan to continuously evaluate the potential of these problems to increase the practical applicability of the model.