Control of Quarter-Car Active Suspension System Based on Optimized Fuzzy Linear Quadratic Regulator Control Method
Round 1
Reviewer 1 Report
Dear Authors,
Thank you for the presentation of the control of quarter car active suspension system based on optimized fuzzy linear quadratic regulator control method.
Could you answer for my question about Forces in your paper. In the Nomenclature is written: Fs - Actuator control force and is presented among other in Fig. 1.
In Fig. 5 is presented the output value F. Is the same Fs?
If the force F is not the same Fs please write more in the Nomenclature.
Presented results for F (N) - what is exact presented force F?
Please anwer for my question and write more details about forces in your paper and research.
Moderate editing of English language required.
Author Response
Dear Reviewer,
The responses to your suggestions are shown in red color in the article.
Also, your very valuable suggestions and support have been tried to be fulfilled with great sensitivity. We are grateful for your outstanding help and sensitivity in this work. Regards.
Reviewer: 1
Dear Authors,
Thank you for the presentation of the control of quarter car active suspension system based on optimized fuzzy linear quadratic regulator control method.
Could you answer for my question about Forces in your paper. In the Nomenclature is written: Fs - Actuator control force and is presented among other in Fig. 1. In Fig. 5 is presented the output value F. Is the same Fs? If the force F is not the same Fs please write more in the Nomenclature. Presented results for F (N) - what is exact presented force F? Please answer for my question and write more details about forces in your paper and research.
Answer-1:
In the article, the force F indicates the control force of the actuator. In some places in the article, it is given as Fs force. In the nomenclature, Figure 1, and throughout the article, the force Fs is changed to F.
Moderate editing of English language required.
Answer-2:
The entire article was reviewed in terms of grammar and necessary corrections were made.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
1、Compared to passive suspensions, the LQR and Fuzzy Logic Control (FLC) control algorithms have greatly improved the performance of the suspension. It is suggested to further elaborate on the necessity of the proposed Fuzzy-LQR control algorithm in the introduction.
2、In page 15, when providing vehicle parameters, both the symbol and value of the damper coefficient of the tire are incorrect. Please verify and modify them.
3、In Figure 12, please explain why the suspension deflection of the PSO based fuzzy LQR was the highest at the beginning.
Author Response
Dear Reviewer,
The responses to your suggestions are shown in red color in the article.
Also, your very valuable suggestions and support have been tried to be fulfilled with great sensitivity. We are grateful for your outstanding help and sensitivity in this work. Regards.
Reviewer: 2
Dear Authors,
1、Compared to passive suspensions, the LQR and Fuzzy Logic Control (FLC) control algorithms have greatly improved the performance of the suspension. It is suggested to further elaborate on the necessity of the proposed Fuzzy-LQR control algorithm in the introduction.
Answer-1:
The statement 'The most important contribution of this study is to combine the self-determination capability of the fuzzy logic control method with the advantage of the LQR control method, which is one of the optimal control methods, and to bring it to the literature in the control of ASSs.' has been added to the article (please see at the end of the section "1. Introduction").
2、In page 15, when providing vehicle parameters, both the symbol and value of the damper coefficient of the tire are incorrect. Please verify and modify them.
Answer-2:
The symbol and value of the damper coefficient of the tire given in the article have been changed.
3、In Figure 12, please explain why the suspension deflection of the PSO based fuzzy LQR was the highest at the beginning.
Answer-3:
Figure 12 shows that the initial values of the suspension deflection values obtained by the application of the proposed methods decreased compared to the passive suspension system. Due to the nature of the PSO-based fuzzy LQR control method, it is seen that the suspension deviation values increased slightly at the beginning but reached zero approximately 1.5 seconds after the deviation.
Author Response File: Author Response.pdf
Reviewer 3 Report
The quarter car model is used to analyze the interaction between the car and the road. This model represents the operating conditions of a single car wheel and allows for simplified vehicle dynamics analysis. The quarter-car model is commonly used to determine key vehicle suspension parameters and tire performance and considers only the vertical elastic and damping elements of the suspension. However, the results allow the analysis of the dynamics of the vehicle under vertical excitation.
In this paper, the suspension model of a quarter of the car is created and the active control is realized. The suspension model has been developed using the Lagrange - Euler method. The LQR, Fuzzy Logic Control (FLC), and Fuzzy-LQR control algorithms were developed and applied to the suspension system for active control. The proposed control method (fuzzy LQR) model has better characteristics in terms of ride comfort.
The manuscript is interesting. This article explores the implementation study from a new and real perspective on the current scientific problem. The research presented in this article seeks novelty, methodology is reasonably sound and detailed. Keywords are suitable.
The article is well written and the topic could be of interest to the readers of the journal.
Minor Issues.
· It would be interesting to show the results of a quarter-model simulation of the car on a non-deterministic road.
· How was the accuracy of the results validated? Can any evidence be given to demonstrate the accuracy of the present simulation analysis?
· The software used for the modelling and calculations is not clear. This should be mentioned as well.
· Proofreading of the manuscript is required. Make major style and language revisions in some parts of the article (for example Şekil 2 must be Figure 2, etc.).
Overall, my opinion is positive and I would suggest that the authors continue the work.
Moderate editing of English language required.
Author Response
Dear Reviewer,
The responses to your suggestions are shown in red color in the article.
Also, your very valuable suggestions and support have been tried to be fulfilled with great sensitivity. We are grateful for your outstanding help and sensitivity in this work. Regards.
Reviewer: 3
Dear Authors,
1、· It would be interesting to show the results of a quarter-model simulation of the car on a non-deterministic road.
Answer-1:
In future studies, we aim to test the performance of the proposed control methods on different road types of the quarter vehicle suspension system.
2、· How was the accuracy of the results validated? Can any evidence be given to demonstrate the accuracy of the present simulation analysis?
Answer-2:
In this study, the proposed methods are tested by using the physical parameter values used in the suspension systems of the vehicles given in the literature. The simulation results obtained as a result of this were compared with the studies in the literature and the simulation results were verified. (please see Table 5 at the end of the section "4. Numerical Simulation Results").
3、· The software used for the modelling and calculations is not clear. This should be mentioned as well.
Answer-3:
The statement 'Matlab/Simulink package program was used in this study' has been added to the article (please see titled "4. Numerical Simulation Results").
4、· Proofreading of the manuscript is required. Make major style and language revisions in some parts of the article (for example Şekil 2 must be Figure 2, etc.). Moderate editing of English language required.
Answer-4:
The entire article was reviewed in terms of grammar and necessary corrections were made.
Author Response File: Author Response.pdf
