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Search Results (3,051)

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Keywords = error compensation

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29 pages, 1637 KB  
Article
Neural Network Disturbance Observer-Based Adaptive Fault-Tolerant Attitude Tracking Control for UAVs with Actuator Faults, Input Saturation, and External Disturbances
by Yan Zhou, Ye Liu, Jiaze Li and Huiying Liu
Actuators 2025, 14(9), 437; https://doi.org/10.3390/act14090437 - 3 Sep 2025
Abstract
A dual-loop fault-tolerant control scheme is investigated for UAV attitude control systems subject to actuator faults, input saturation, and external disturbances in this paper. In the outer loop of attitude angles, a nonlinear dynamic inversion controller is developed as baseline controller for fast [...] Read more.
A dual-loop fault-tolerant control scheme is investigated for UAV attitude control systems subject to actuator faults, input saturation, and external disturbances in this paper. In the outer loop of attitude angles, a nonlinear dynamic inversion controller is developed as baseline controller for fast response and is augmented by a neural network disturbance observer to enhance the adaptability and robustness. Considering input saturation, actuator faults, and external disturbances in the inner loop of attitude angle velocities, the unbalanced input saturation is first converted into a time-varying system with unknown parameters and disturbances using a nonlinear function approximation method. An L1 adaptive fault-tolerant controller is then introduced to compensate for the effects of lumped uncertainties including system uncertainties, actuator faults, external disturbances, and approximation errors, and the stability and performance boundaries are verified by Lyapunov theorem and L1 reference system. Some simulation examples are carried out to demonstrate its effectiveness. Full article
(This article belongs to the Section Control Systems)
14 pages, 1266 KB  
Article
Distance Measurement Between a Camera and a Human Subject Using Statistically Determined Interpupillary Distance
by Marinel Costel Temneanu, Codrin Donciu and Elena Serea
AppliedMath 2025, 5(3), 118; https://doi.org/10.3390/appliedmath5030118 - 3 Sep 2025
Abstract
This paper presents a non-intrusive method for estimating the distance between a camera and a human subject using a monocular vision system and statistically derived interpupillary distance (IPD) values. The proposed approach eliminates the need for individual calibration by utilizing average IPD values [...] Read more.
This paper presents a non-intrusive method for estimating the distance between a camera and a human subject using a monocular vision system and statistically derived interpupillary distance (IPD) values. The proposed approach eliminates the need for individual calibration by utilizing average IPD values based on biological sex, enabling accurate, scalable distance estimation for diverse users. The algorithm, implemented in Python 3.12.11 using the MediaPipe Face Mesh framework, extracts pupil coordinates from facial images and calculates IPD in pixels. A sixth-degree polynomial calibration function, derived from controlled experiments using a uniaxial displacement system, maps pixel-based IPD to real-world distances across three intervals (20–80 cm, 80–160 cm, and 160–240 cm). Additionally, a geometric correction is applied to compensate for in-plane facial rotation. Experimental validation with 26 participants (15 males, 11 females) demonstrates the method’s robustness and accuracy, as confirmed by relative error analysis against ground truth measurements obtained with a Bosch GLM120C laser distance meter. Males exhibited lower relative errors across the intervals (3.87%, 4.75%, and 5.53%), while females recorded higher mean relative errors (6.0%, 6.7%, and 7.27%). The results confirm the feasibility of the proposed method for real-time applications in human–computer interaction, augmented reality, and camera-based proximity sensing. Full article
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25 pages, 7608 KB  
Article
Characteristic Model-Based Discrete Adaptive Integral SMC for Robotic Joint Drive on Dual-Core ARM
by Wei Chen
Symmetry 2025, 17(9), 1436; https://doi.org/10.3390/sym17091436 - 3 Sep 2025
Abstract
Addressing escalating demands for high-precision compact robotic actuators, this study overcomes persistent challenges from nonlinear transmission dynamics and computational constraints through a co-designed framework integrating three innovations. A real-time second-order characteristic modeling approach enables 10 kHz online parameter identification, reducing computational load by [...] Read more.
Addressing escalating demands for high-precision compact robotic actuators, this study overcomes persistent challenges from nonlinear transmission dynamics and computational constraints through a co-designed framework integrating three innovations. A real-time second-order characteristic modeling approach enables 10 kHz online parameter identification, reducing computational load by 13.1% versus MPC. Building on this foundation, a hybrid integral sliding-mode controller eliminating modeling errors while maintaining ≤0.25 rad/s tracking error (SRMSE) under variable loads was created. These algorithmic advances are embedded within a miniaturized dual-ARM platform (47 × 47 × 12 mm3) achieving <30-ns overcurrent protection and 36% cost reduction versus DSP/FPGA solutions. Validated via Lyapunov stability proofs and experiments, this framework is particularly effective for high-performance robotic joint control in spatially- and thermally-constrained environments while dynamically compensating for unmodeled nonlinearities. Full article
(This article belongs to the Section Engineering and Materials)
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20 pages, 3137 KB  
Article
Lateral Trajectory Tracking Control for Intelligent Vehicles Using Backstepping Method and Dynamic Feedforward
by Lubna Khasawneh and Manohar Das
Machines 2025, 13(9), 800; https://doi.org/10.3390/machines13090800 - 2 Sep 2025
Abstract
Controlling autonomous vehicles to follow a desired lateral trajectory presents a significant challenge. Developers of lateral control systems often find it difficult to simultaneously bring both lateral error and heading angle error close to zero while smoothly following the curvature of the road. [...] Read more.
Controlling autonomous vehicles to follow a desired lateral trajectory presents a significant challenge. Developers of lateral control systems often find it difficult to simultaneously bring both lateral error and heading angle error close to zero while smoothly following the curvature of the road. This paper introduces the design and development of a control strategy for lateral trajectory following using the backstepping control method, which successfully achieves the goal of stabilization and tracking. The controller comprises a backstepping feedback control law to regulate the errors and stabilize the vehicle by controlling the yaw rate, along with a dynamic feedforward component to compensate for road curvature and further eliminate steady-state errors on curved roads. The controller is built upon the dynamic bicycle model, enhanced by integrating the error dynamics into the state space equation, which allows for the inclusion of errors as state variables. The global uniform stability of the feedback control law is proven using Lyapunov stability theory and the LaSalle–Yoshizawa theorem. The stability and tracking performance of the controller are validated through simulation and experimental results obtained from a test vehicle on a public highway. Full article
(This article belongs to the Special Issue Intelligent Control and Active Safety Techniques for Road Vehicles)
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20 pages, 5966 KB  
Article
Formation Control of Multiple UUVs Based on GRU-KF with Communication Packet Loss
by Juan Li, Rui Luo, Honghan Zhang and Zhenyang Tian
J. Mar. Sci. Eng. 2025, 13(9), 1696; https://doi.org/10.3390/jmse13091696 - 2 Sep 2025
Abstract
In response to the problem of decreased collaborative control performance in underwater unmanned vehicles (UUVs) with communication packet loss, a GRU-KF method for multi-UUV control that integrates a gated recurrent unit (GRU) and a Kalman filter (KF) is proposed. First, a UUV feedback [...] Read more.
In response to the problem of decreased collaborative control performance in underwater unmanned vehicles (UUVs) with communication packet loss, a GRU-KF method for multi-UUV control that integrates a gated recurrent unit (GRU) and a Kalman filter (KF) is proposed. First, a UUV feedback linearization model and a current model are established, and a multi-UUV controller-based leader–follower method is designed, using a neural network-based radial basis function (RBF) to counteract the uncertainty effects in the model. For scenarios involving packet loss in multi-UUV collaborative communication, the GRU network extracts historical temporal features to enhance the system’s adaptability to communication uncertainties, while the KF performs state estimation and error correction. The simulation results show that, compared to compensation by the GRU network, the proposed method significantly reduces the jitter level and convergence time of errors, enabling the formation to exhibit good robustness and accuracy in communication packet loss scenarios. Full article
(This article belongs to the Section Ocean Engineering)
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25 pages, 16356 KB  
Article
Synchronization Control for AUVs via Optimal-Sliding-Mode Adaptive Dynamic Programming with Actuator Saturation and Performance Constraints in Dynamic Recovery
by Puxin Chai, Zhenyu Xiong, Wenhua Wu, Yushan Sun and Fukui Gao
J. Mar. Sci. Eng. 2025, 13(9), 1687; https://doi.org/10.3390/jmse13091687 - 1 Sep 2025
Viewed by 85
Abstract
This paper proposes an optimal-sliding-mode-based adaptive dynamic programming (ADP) master–slave synchronous control strategy for the actuator saturation and performance constraints that AUVs face in dynamic recovery. First, by introducing the sliding-mode function into the value function to optimize the state error and its [...] Read more.
This paper proposes an optimal-sliding-mode-based adaptive dynamic programming (ADP) master–slave synchronous control strategy for the actuator saturation and performance constraints that AUVs face in dynamic recovery. First, by introducing the sliding-mode function into the value function to optimize the state error and its derivative simultaneously, the convergence speed is significantly improved. Second, by designing the performance constraint function to directly map the sliding-mode function, the evolution trajectory of the sliding-mode function is constrained, ensuring the steady-state and transient characteristics. In addition, the hyperbolic tangent function (tanh) is introduced into the value function to project the control inputs into an unconstrained policy domain, thereby eliminating the phase lag inherent in conventional saturation compensation schemes. Finally, the requirement for initial stability is relaxed by constructing a single-critic network to approximate the optimal control policy. The simulation results show that the proposed method has significant advantages in terms of the position and attitude synchronization error convergence rate, steady-state accuracy, and control signal continuity compared with the conventional ADP method. Full article
(This article belongs to the Section Ocean Engineering)
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24 pages, 3829 KB  
Article
Causal Correction and Compensation Network for Robotics: Applications and Validation in Continuous Control
by Xiaoqing Zhu, Lanyue Bi, Tong Wu, Chuan Zhang and Jiahao Wu
Appl. Sci. 2025, 15(17), 9628; https://doi.org/10.3390/app15179628 (registering DOI) - 1 Sep 2025
Viewed by 88
Abstract
Deep Reinforcement Learning (DRL) has achieved remarkable success in robotic control, autonomous driving, and game-playing agents. However, its decision-making process often remains a black box, lacking both interpretability and verifiability. In robotic control tasks, developers cannot pinpoint decision errors or precisely adjust control [...] Read more.
Deep Reinforcement Learning (DRL) has achieved remarkable success in robotic control, autonomous driving, and game-playing agents. However, its decision-making process often remains a black box, lacking both interpretability and verifiability. In robotic control tasks, developers cannot pinpoint decision errors or precisely adjust control strategies based solely on observed robot behaviors. To address this challenge, this work proposes an interpretable DRL framework based on a Causal Correction and Compensation Network (C2-Net), which systematically captures the causal relationships underlying decision-making and enhances policy robustness. C2-Net integrates a Graph Neural Network-based Neural Causal Model (GNN-NCM) to compute causal influence weights for each action. These weights are then dynamically applied to correct and compensate the raw policy outputs, thereby balancing performance optimization and transparency. This work validates the approach on OpenAI Gym’s Hopper, Walker2d, and Humanoid environments, as well as the multi-agent AzureLoong platform built on Isaac Gym. In terms of convergence speed, final return, and policy robustness, experimental results show that C2-Net achieves higher performance over both non-causal baselines and conventional attention-based models. Moreover, it provides rich causal explanations for its decisions. The framework represents a principled shift from correlation to causation and offers a practical solution for the safe and reliable deployment of multi-robot systems. Full article
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20 pages, 8235 KB  
Article
Enhancing Search and Rescue Missions with UAV Thermal Video Tracking
by Piero Fraternali, Luca Morandini and Riccardo Motta
Remote Sens. 2025, 17(17), 3032; https://doi.org/10.3390/rs17173032 - 1 Sep 2025
Viewed by 180
Abstract
Wilderness Search and Rescue (WSAR) missions are time-critical emergency response operations that require locating a lost person within a short timeframe. Large forested terrains must be explored in challenging environments and adverse conditions. Unmanned Aerial Vehicles (UAVs) equipped with thermal cameras enable the [...] Read more.
Wilderness Search and Rescue (WSAR) missions are time-critical emergency response operations that require locating a lost person within a short timeframe. Large forested terrains must be explored in challenging environments and adverse conditions. Unmanned Aerial Vehicles (UAVs) equipped with thermal cameras enable the efficient exploration of vast areas. However, manual analysis of the huge amount of collected data is difficult, time-consuming, and prone to errors, increasing the risk of missing a person. This work proposes an object detection and tracking pipeline that automatically analyzes UAV thermal videos in real-time to identify lost people in forest environments. The tracking module combines information from multiple viewpoints to suppress false alarms and focus responders’ efforts. In this moving camera scenario, tracking performance is enhanced by introducing a motion compensation module based on known camera poses. Experimental results on the collected thermal video dataset demonstrate the effectiveness of the proposed tracking-based approach by achieving a Precision of 90.3% and a Recall of 73.4%. On a dataset of UAV thermal images, the introduced camera alignment technique increases the Recall by 6.1%, with negligible computational overhead, reaching 35.2 FPS. The proposed approach, optimized for real-time video processing, has direct application in real-world WSAR missions to improve operational efficiency. Full article
(This article belongs to the Section Earth Observation for Emergency Management)
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25 pages, 6091 KB  
Article
Three-Dimensional Trajectory Tracking Control of Underactuated AUV Based on Fractional-Order PID and Super-Twisting Extended State Observer
by Long He, Ya Zhang, Mengting Xie, Zehui Yuan and Chenrui Bai
Fractal Fract. 2025, 9(9), 580; https://doi.org/10.3390/fractalfract9090580 - 1 Sep 2025
Viewed by 146
Abstract
This paper addresses the three-dimensional trajectory tracking control problem for the underactuated Autonomous Underwater Vehicle (AUV) operating in complex ocean environments characterized by dynamic disturbances and model uncertainties. A super-twisting extended state observer (STESO) was designed to accurately estimate and compensate for external [...] Read more.
This paper addresses the three-dimensional trajectory tracking control problem for the underactuated Autonomous Underwater Vehicle (AUV) operating in complex ocean environments characterized by dynamic disturbances and model uncertainties. A super-twisting extended state observer (STESO) was designed to accurately estimate and compensate for external disturbances and unmodeled dynamics in finite time. A fractional-order proportional–integral–derivative (FOPID) controller was then developed based on the disturbance estimates provided by the STESO. Leveraging the superior frequency-domain tuning flexibility of fractional calculus, the controller enhances tracking precision and robustness against dynamic disturbances. Furthermore, a strict Lyapunov-based stability analysis is presented, and the tracking error converges to zero asymptotically when disturbance estimation errors vanish. Numerical simulations validated the effectiveness and robustness of the proposed control strategy under various disturbance scenarios. Full article
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17 pages, 3386 KB  
Article
Anti-Windup Method Using Ancillary Flux-Weakening for Enhanced Induction Motor Performance Under Voltage Saturation
by Xu Zhang, Shuhan Xi and Jing Zhang
Electronics 2025, 14(17), 3496; https://doi.org/10.3390/electronics14173496 - 31 Aug 2025
Viewed by 199
Abstract
When the speed of an induction motor (IM) exceeds its rated value, voltage saturation occurs, which degrades its performance. Traditional flux-weakening (FW) control suffers from delays due to cascaded PI regulators and sensitivity to rotor field orientation lag. Addressing these two issues, the [...] Read more.
When the speed of an induction motor (IM) exceeds its rated value, voltage saturation occurs, which degrades its performance. Traditional flux-weakening (FW) control suffers from delays due to cascaded PI regulators and sensitivity to rotor field orientation lag. Addressing these two issues, the proposed ancillary flux-weakening (AFW) method introduces two d-axis current compensation paths. One compensation path is from the reference value of the q-axis current, which simplifies the traditional three-PI cascade FW path into a single PI path in the transient process. The other compensation path is derived from the q-axis current tracking error to mitigate voltage saturation caused by orientation error. Comparative experiments show that during precise direction acceleration, the AFW method increases the current response time by 35% and reduces the peak voltage fluctuation by 38.98%. It also reduces low voltage ripple by 76.4% in inaccurate direction and burst load conditions. The results confirm a significant enhancement of dynamic performance and voltage anti-saturation capability in the FW region. Full article
(This article belongs to the Special Issue Power Electronics Controllers for Power System)
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21 pages, 7257 KB  
Article
A Study on the Transient Performance of Compensated PLL-Type Estimators for Sensorless IPMSMs
by Dongwoo Lee
Actuators 2025, 14(9), 429; https://doi.org/10.3390/act14090429 - 31 Aug 2025
Viewed by 117
Abstract
The transient performance of sensorless control for interior permanent magnet synchronous motors (IPMSMs), based on back-electromotive force (back-EMF) estimation, is a critical factor in ensuring the high reliability of motor drive systems. Although rotor speed and position can be accurately estimated under steady-state [...] Read more.
The transient performance of sensorless control for interior permanent magnet synchronous motors (IPMSMs), based on back-electromotive force (back-EMF) estimation, is a critical factor in ensuring the high reliability of motor drive systems. Although rotor speed and position can be accurately estimated under steady-state conditions, estimation errors tend to increase during transient states such as acceleration, deceleration, and load torque variations. The enhancement of transient stability is closely related to the overshoot in the estimated position and speed errors. In this paper, the maximum overshoot of the estimated position and speed errors during transient operation is analyzed. Furthermore, compensation strategies are proposed to reduce the magnitude of these overshoots. The effectiveness of the proposed sensorless control method is validated through comparative analysis with existing approaches. Full article
(This article belongs to the Section Control Systems)
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22 pages, 4206 KB  
Article
Piezoelectric Hysteresis Modeling Under a Variable Frequency Based on a Committee Machine Approach
by Francesco Aggogeri and Nicola Pellegrini
Sensors 2025, 25(17), 5371; https://doi.org/10.3390/s25175371 - 31 Aug 2025
Viewed by 215
Abstract
Piezoelectric actuators, widely used in micro-positioning and active control systems, show important hysteresis characteristics. In particular, the hysteresis contribution is a complex phenomenon that is difficult to model when the input amplitude and frequency are time-dependent. Existing dynamic physical models poorly describe the [...] Read more.
Piezoelectric actuators, widely used in micro-positioning and active control systems, show important hysteresis characteristics. In particular, the hysteresis contribution is a complex phenomenon that is difficult to model when the input amplitude and frequency are time-dependent. Existing dynamic physical models poorly describe the hysteresis influence of industrial mechatronic devices. This paper proposes a novel hybrid data-driven model based on the Bouc–Wen and backlash hysteresis formulations to appraise and compensate for the nonlinear effects. Firstly, the performance of the piezoelectric actuator was simulated and then tested in a complete representative domain, and then using the committee machine approach. Experimental campaigns were conducted to develop an algorithm that incorporated Bouc–Wen and backlash hysteresis parameters derived via genetic algorithm (GA) and particle swarm optimization (PSO) approaches for identification. These parameters were combined in a committee machine using a set of frequency clusters. The results obtained demonstrated an error reduction of 23.54% for the committee machine approach compared with the complete approach. The root mean square error (RMSE) was 0.42 µm, and the maximum absolute error (MAE) appraisal was close to 0.86 µm in the 150–250 Hz domain via the Bouc–Wen sub-model tuned with the genetic algorithm (GA). Full article
(This article belongs to the Section Sensors and Robotics)
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17 pages, 3834 KB  
Article
Redundancy-Interpolated Three-Segment DAC with On-Chip Digital Calibration for Improved Static Linearity
by Godfred Bonsu, Kelvin Tamakloe, Isaac Bruce, Emmanuel Nti Darko and Degang Chen
Electronics 2025, 14(17), 3477; https://doi.org/10.3390/electronics14173477 - 30 Aug 2025
Viewed by 201
Abstract
This paper presents a three-segment interpolating Digital-to-Analog Converter (DAC) that employs a redundancy-based interpolation scheme and digital calibration to enhance linearity. The proposed architecture consists of a Most Significant Bit (MSB) resistor string DAC, an Intermediate Significant Bit (ISB) resistor string DAC, and [...] Read more.
This paper presents a three-segment interpolating Digital-to-Analog Converter (DAC) that employs a redundancy-based interpolation scheme and digital calibration to enhance linearity. The proposed architecture consists of a Most Significant Bit (MSB) resistor string DAC, an Intermediate Significant Bit (ISB) resistor string DAC, and a Least Significant Bit (LSB) interpolating differential buffer. The MSB segment uses a split-unit resistor structure (rA,rB) to improve post-calibration differential nonlinearity (DNL) by minimizing voltage step errors. A fully digital calibration algorithm is implemented to compensate for process variations, component mismatches, and finite switch resistance, ensuring a highly linear DAC output. The proposed 16-bit DAC is implemented in a 180 nm CMOS process and is segmented into a 5-bit MSB stage, a 5-bit ISB stage, and a 6-bit LSB stage. The structure achieves post-calibration integral nonlinearity (INL) and differential nonlinearity (DNL) values of less than ±1 LSB. Simulation results validate the proposed design, demonstrating enhanced linearity and reduced area overhead compared with conventional segmented architectures. Full article
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25 pages, 3924 KB  
Article
Research on Energy Saving for Hybrid Tractor Based on Working Condition Prediction and DDPG-Fuzzy Control
by Shilong Fan, Xianghai Yan, Shuaishuai Ge, Junjiang Zhang and Mengnan Liu
World Electr. Veh. J. 2025, 16(9), 490; https://doi.org/10.3390/wevj16090490 - 29 Aug 2025
Viewed by 365
Abstract
To significantly reduce fuel consumption and improve fuel economy in hybrid tractor under complex working conditions, an energy—saving strategy based on working condition prediction and Deep Deterministic Policy Gradient and Fuzzy control (DDPG-Fuzzy) was proposed. Firstly, a hybrid tractor system dynamics model containing [...] Read more.
To significantly reduce fuel consumption and improve fuel economy in hybrid tractor under complex working conditions, an energy—saving strategy based on working condition prediction and Deep Deterministic Policy Gradient and Fuzzy control (DDPG-Fuzzy) was proposed. Firstly, a hybrid tractor system dynamics model containing diesel, motor, and power battery was established. Secondly, a working condition prediction model for plowing velocity and resistance was constructed based on the adaptive cubic exponential smoothing method. Finally, a two-layer control architecture was designed. The upper layer adopted the DDPG algorithm, which takes demand torque, equivalent fuel consumption, and the State of Charge (SOC) as state inputs to optimize energy consumption by generating the diesel benchmark torque through the policy network. The lower layer introduced a fuzzy control compensation mechanism that calculates the torque correction based on the plowing velocity error and the plowing resistance deviation to adjust the power allocation. In light of on this, an energy—saving strategy for hybrid tractor based on working condition prediction and DDPG-Fuzzy control was proposed. Under a standard 140 s plowing cycle, the results showed that the working condition prediction model achieved mean prediction accuracies of 97% for plowing velocity and 96.8% for plowing resistance. Under plowing conditions, the proposed strategy reduced the equivalent fuel consumption by 9.7% compared to the power-following strategy, and reduced SOC by 4.4% while maintaining it within a reasonable range. By coordinating the operation of the diesel and motor within high-efficiency regions, this approach enhances fuel economy under complex working conditions. Full article
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19 pages, 1947 KB  
Article
Real-Time Correction and Long-Term Drift Compensation in MOS Gas Sensor Arrays Using Iterative Random Forests and Incremental Domain-Adversarial Networks
by Xiaorui Dong and Shijing Han
Micromachines 2025, 16(9), 991; https://doi.org/10.3390/mi16090991 (registering DOI) - 29 Aug 2025
Viewed by 202
Abstract
Sensor arrays serve a crucial role in various fields such as environmental monitoring, industrial process control, and medical diagnostics, yet their reliability remains challenged by sensor drift and noise contamination. This study presents a novel framework for real-time data error correction and long-term [...] Read more.
Sensor arrays serve a crucial role in various fields such as environmental monitoring, industrial process control, and medical diagnostics, yet their reliability remains challenged by sensor drift and noise contamination. This study presents a novel framework for real-time data error correction and long-term drift compensation utilizing an iterative random forest-based error correction algorithm paired with an Incremental Domain-Adversarial Network (IDAN). The iterative random forest algorithm leverages the collective data from multiple sensor channels to identify and rectify abnormal sensor responses in real time. The IDAN integrates domain-adversarial learning principles with an incremental adaptation mechanism to effectively manage temporal variations in sensor data. Experiments utilizing the metal oxide semiconductor gas sensor array drift dataset demonstrate that the combination of these approaches significantly enhances data integrity and operational efficiency, achieving a robust and good accuracy even in the presence of severe drift. This study underscores the efficacy of integrating advanced artificial intelligence techniques for the ongoing evolution of sensor array technology, paving the way for enhanced monitoring systems capable of sustaining high levels of performance over extended time periods. Full article
(This article belongs to the Special Issue AI-Driven Design and Optimization of Microsystems)
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