International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

Frequency: 12

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 Volume 10, Issue 3 (March 2023), Pages: 6-13

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 Original Research Paper

 𝑯 reliable fuzzy control for vehicle dynamics stability

 Author(s): 

 F. E. Alshammari, M. Kchaou *

 Affiliation(s):

 College of Engineering, University of Hail, Hail, Saudi Arabia

  Full Text - PDF          XML

 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-6849-1745

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2023.03.002

 Abstract:

This article introduces a reliable control scheme for a four-wheel vehicle. This scheme assumes that actuators fail and external disturbances occur to the system. In contrast to existing results, this study assumes the actuator fault model includes linear and nonlinear terms, and an output feedback controller is designed to improve vehicle stability and handling when actuators fail. Using Takagi-Sugeno (T-S) fuzzy models, a reliable fuzzy static output feedback (SOF) controller is designed to address the nonlinear aspect of the system. Based on the non-quadratic Lyapunov function with auxiliary matrices, less conservative sufficient conditions are established such that the closed-loop system is stable with a 𝛾 level of 𝐻 performance against external disturbances. Furthermore, using an appropriate model transformation, a set of linear matrix inequalities (LMIs) is formulated to synthesize the controller gains. The proposed scheme is then tested using numerical experiments to demonstrate potential applications and validate its effectiveness.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Fuzzy systems, State feedback, Observer, Robust control, LMI

 Article History: Received 26 July 2022, Received in revised form 28 October 2022, Accepted 16 November 2022

 Acknowledgment 

This research has been funded by Scientific Research Deanship at the University of Ha’il -Saudi Arabia through project number GR-22 040.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Alshammari FE and Kchaou M (2023). 𝑯 reliable fuzzy control for vehicle dynamics stability. International Journal of Advanced and Applied Sciences, 10(3): 6-13

 Permanent Link to this page

 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 

 Tables

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 References (23)

  1. Dahmani H, Chadli M, Rabhi A, and El Hajjaji A (2013). Vehicle dynamic estimation with road bank angle consideration for rollover detection: Theoretical and experimental studies. Vehicle System Dynamics, 51(12): 1853-1871. https://doi.org/10.1080/00423114.2013.839819   [Google Scholar]
  2. Jin X, Yin G, Zeng X, and Chen J (2018). Robust gain-scheduled output feedback yaw stability control for in-wheel-motor-driven electric vehicles with external yaw-moment. Journal of the Franklin Institute, 355(18): 9271-9297. https://doi.org/10.1016/j.jfranklin.2017.07.006   [Google Scholar]
  3. Kamal E, Aitouche A, and Oueidat M (2013). Fuzzy fault-tolerant control of wind-diesel hybrid systems subject to sensor faults. IEEE Transactions on Sustainable Energy, 4(4): 857-866. https://doi.org/10.1109/TSTE.2013.2253138   [Google Scholar]
  4. Kang HB and Lee HJ (2018). Sampled-data static output-feedback control for nonlinear systems in T–S form via descriptor redundancy. Neurocomputing, 318: 1-6. https://doi.org/10.1016/j.neucom.2018.06.048   [Google Scholar]
  5. Kaviarasan B, Sakthivel R, and Kwon OM (2016). Robust fault-tolerant control for power systems against mixed actuator failures. Nonlinear Analysis: Hybrid Systems, 22: 249-261. https://doi.org/10.1016/j.nahs.2016.05.003   [Google Scholar]
  6. Kchaou M, Jerbi H, Abassi R, VijiPriya J, Hmidi F, and Kouzou A (2021). Passivity-based asynchronous fault-tolerant control for nonlinear discrete-time singular Markovian jump systems: A sliding-mode approach. European Journal of Control, 60: 95-113. https://doi.org/10.1016/j.ejcon.2021.04.004   [Google Scholar]
  7. Kchaou M, Toumi A, and Souissi M (2011). Delay-dependent H∞ resilient output fuzzy control for nonlinear discrete-time systems with time-delay. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 19(02): 229-250. https://doi.org/10.1142/S0218488511006988   [Google Scholar]
  8. Latrach C, Kchaou M, El Hajjaji A, and Rabhi A (2013). Robust H∞ fuzzy networked control for vehicle lateral dynamics. In the 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013), IEEE, The Hague, Netherlands: 905-910. https://doi.org/10.1109/ITSC.2013.6728347   [Google Scholar]
  9. Latrach C, Kchaou M, Rabhi A, and El Hajjaji A (2015). Decentralized networked control system design using Takagi-Sugeno (TS) fuzzy approach. International Journal of Automation and Computing, 12(2): 125-133. https://doi.org/10.1007/s11633-015-0879-9   [Google Scholar]
  10. Latrech C, Kchaou M, and Guéguen H (2018). Networked non-fragile H∞ static output feedback control design for vehicle dynamics stability: A descriptor approach. European Journal of Control, 40: 13-26. https://doi.org/10.1016/j.ejcon.2017.10.005   [Google Scholar]
  11. Makni S, Bouattour M, El Hajjaji A, and Chaabane M (2019). Robust observer based fault tolerant tracking control for T–S uncertain systems subject to sensor and actuator faults. ISA Transactions, 88: 1-11. https://doi.org/10.1016/j.isatra.2018.11.022   [Google Scholar] PMid:30545772
  12. Regaieg MA, Bosche J, Kchaou M, Hajjaji AE, and Chaabane M (2019). 𝒟𝒰-Admissibility with static output feedback for uncertain descriptor T–S systems. International Journal of Systems Science, 50(10): 2030-2041. https://doi.org/10.1080/00207721.2019.1646348   [Google Scholar]
  13. Shi H, Li P, Cao J, Su C, and Yu J (2020). Robust fuzzy predictive control for discrete-time systems with interval time-varying delays and unknown disturbances. IEEE Transactions on Fuzzy Systems, 28(7): 1504-1516. https://doi.org/10.1109/TFUZZ.2019.2959539   [Google Scholar]
  14. Takagi T and Sugeno M (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15(1): 116-132. https://doi.org/10.1109/TSMC.1985.6313399   [Google Scholar]
  15. Tao J, Lu R, Su H, Shi P, and Wu ZG (2018). Asynchronous filtering of nonlinear Markov jump systems with randomly occurred quantization via T–S fuzzy models. IEEE Transactions on Fuzzy Systems, 26(4): 1866-1877. https://doi.org/10.1109/TFUZZ.2017.2754999   [Google Scholar]
  16. Tuan HD, Apkarian P, Narikiyo T, and Yamamoto Y (2001). Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Transactions on Fuzzy Systems, 9(2): 324-332. https://doi.org/10.1109/91.919253   [Google Scholar]
  17. Wang R, Jing H, Hu C, Chadli M, and Yan F (2016a). Robust H∞ output-feedback yaw control for in-wheel motor driven electric vehicles with differential steering. Neurocomputing, 173: 676-684. https://doi.org/10.1016/j.neucom.2015.08.015   [Google Scholar]
  18. Wang R, Jing H, Wang J, Chadli M, and Chen N (2016b). Robust output-feedback based vehicle lateral motion control considering network-induced delay and tire force saturation. Neurocomputing, 214: 409-419. https://doi.org/10.1016/j.neucom.2016.06.041   [Google Scholar]
  19. Wang R, Zhang H, Wang J, Yan F, and Chen N (2015a). Robust lateral motion control of four-wheel independently actuated electric vehicles with tire force saturation consideration. Journal of the Franklin Institute, 352(2): 645-668. https://doi.org/10.1016/j.jfranklin.2014.09.019   [Google Scholar]
  20. Wang S, Jiang Y, Li Y, and Liu D (2015b). Reliable observer-based H∞ control for discrete-time fuzzy systems with time-varying delays and stochastic actuator faults via scaled small gain theorem. Neurocomputing, 147: 251-259. https://doi.org/10.1016/j.neucom.2014.06.069   [Google Scholar]
  21. Wang Y, Gao J, Li K, and Chen H (2020). Integrated design of control allocation and triple-step control for over-actuated electric ground vehicles with actuator faults. Journal of the Franklin Institute, 357(6): 3150-3167. https://doi.org/10.1016/j.jfranklin.2019.07.035   [Google Scholar]
  22. Wang Y, Shi P, and Yan H (2018). Reliable control of fuzzy singularly perturbed systems and its application to electronic circuits. IEEE Transactions on Circuits and Systems I: Regular Papers, 65(10): 3519-3528. https://doi.org/10.1109/TCSI.2018.2834481   [Google Scholar]
  23. Yan H, Wang J, Wang F, Wang Z, and Zou S (2019). Observer-based reliable passive control for uncertain T–S fuzzy systems with time-delay. International Journal of Systems Science, 50(5): 905-918. https://doi.org/10.1080/00207721.2019.1585996   [Google Scholar]