IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip1s0960077924012153.html
   My bibliography  Save this article

Hybrid control design for nonlinear chaotic semi-Markov jump systems via fault alarm approach

Author

Listed:
  • Sakthivel, R.
  • Abinandhitha, R.
  • Satheesh, T.
  • Kwon, O.M.

Abstract

This paper investigates the stabilisation problem for a class of T-S fuzzy chaotic semi-Markov jump systems against parametric uncertainties, actuator faults and external disturbances. The main objective of this study is to develop a fault alarm-based non-fragile mode-dependent hybrid controller mechanism to withstand the actuator faults in the concerned system, wherein the hybrid control design blends both robust and fault-tolerant control schemes. Therein, the fault-alarm system is configured based on the alarm threshold, which aids in the execution of the hybrid controller. Specifically, it allows the controller to be timely alerted, making it switch from a robust to a fault-tolerant controller, that is, robust control oversees when the system functions without fault and fault-tolerant control takes over when the system encounters a fault. From there on, through the consideration of relevant Lyapunov function, a novel set of mode-dependent sufficient criteria that have a linear matrix inequality structure is acquired, which confirms the (X,Y,ℨ)-ζ-dissipativity of the system under study. Following that, the precise design of the robust and fault-tolerant controller is procured by solving the developed sufficient conditions. In the end, the simulation results of Chua’s circuit system are offered to confirm the significance of the theoretical insights acknowledged.

Suggested Citation

  • Sakthivel, R. & Abinandhitha, R. & Satheesh, T. & Kwon, O.M., 2024. "Hybrid control design for nonlinear chaotic semi-Markov jump systems via fault alarm approach," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
  • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012153
    DOI: 10.1016/j.chaos.2024.115663
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924012153
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.115663?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Peng, Shuo & Wang, Qingzhi & Fu, Baozeng, 2022. "Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Ge, Chao & Liu, Zengshuai & Wang, Lei & Liu, Yajuan, 2022. "Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    3. Xuefeng Zhang & Jin-Xi Zhang & Wenkai Huang & Peng Shi, 2023. "Non-fragile sliding mode observer based fault estimation for interval type-2 fuzzy singular fractional order systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(7), pages 1451-1470, May.
    4. Abinandhitha, R. & Sakthivel, R. & Tatar, N. & Manikandan, R., 2022. "Anti-disturbance observer-based control for fuzzy chaotic semi-Markov jump systems with multiple disturbances and mixed actuator failures," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    6. Wang, Xingxing & Ma, Yuechao, 2023. "Adaptive non-fragile sliding mode control for switched semi-Markov jump system with time-delay and attack via reduced-order method," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abinandhitha, R. & Monisha, S. & Sakthivel, R. & Manikandan, R. & Saat, S., 2023. "Proportional integral observer-based input–output finite-time stabilization for chaotic semi-Markov jump fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Liu, Yu-An & Tang, Shengdao & Liu, Yufan & Kong, Qingkai & Wang, Jing, 2021. "Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    3. Gao, Jingjing & Xie, Xiangpeng, 2025. "A weighted switching sequence optimization algorithm for static output feedback control synthesis of nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    4. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    5. Ahmed G. Mahmoud A. Aziz & Almoataz Y. Abdelaziz & Ziad M. Ali & Ahmed A. Zaki Diab, 2023. "A Comprehensive Examination of Vector-Controlled Induction Motor Drive Techniques," Energies, MDPI, vol. 16(6), pages 1-32, March.
    6. Wang, Dongji & Chen, Fei & Meng, Bo & Hu, Xingliu & Wang, Jing, 2021. "Event-based secure H∞ load frequency control for delayed power systems subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    7. Yang, Yi & Chen, Fei & Lang, Jiahong & Chen, Xiangyong & Wang, Jing, 2021. "Sliding mode control of persistent dwell-time switched systems with random data dropouts," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    8. Wang, Yan & Zhao, Zhiwei & Ge, Chao & Wang, Lei & Liu, Yajuan, 2022. "Networked control systems with probabilistic time-varying delay based on event-triggered non-fragile H∞ control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 206-222.
    9. Vadivel, R. & Sabarathinam, S. & Wu, Yongbao & Chaisena, Kantapon & Gunasekaran, Nallappan, 2022. "New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    10. Elayabharath, V.T. & Sozhaeswari, P. & Tatar, N. & Sakthivel, R. & Satheesh, T., 2025. "Resilient observer-based unified state and fault estimation for nonlinear parabolic PDE systems via fuzzy approach over finite-time interval," Applied Mathematics and Computation, Elsevier, vol. 488(C).
    11. Yang, Chengyu & Li, Fei & Kong, Qingkai & Chen, Xiangyong & Wang, Jian, 2021. "Asynchronous fault-tolerant control for stochastic jumping singularly perturbed systems: An H∞ sliding mode control scheme," Applied Mathematics and Computation, Elsevier, vol. 389(C).
    12. Samer Al-Ghour & Dina Abuzaid & Monia Naghi, 2024. "Soft Weakly Quasi-Continuous Functions Between Soft Topological Spaces," Mathematics, MDPI, vol. 12(20), pages 1-19, October.
    13. Anto Anbarasu Yesudhas & Seong Ryong Lee & Jae Hoon Jeong & Narayanan Govindasami & Young Hoon Joo, 2024. "The Stabilization of a Nonlinear Permanent-Magnet- Synchronous-Generator-Based Wind Energy Conversion System via Coupling-Memory-Sampled Data Control with a Membership-Function-Dependent H ∞ Approach," Energies, MDPI, vol. 17(15), pages 1-21, July.
    14. Liu, Bowen & Wang, Lijie & Wang, Qingzhi & Fu, Baozeng, 2024. "Time-varying formation tracking of multi-agent systems with multiple leaders based on aperiodic time-triggered intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    15. Zhong, Yuguang & Song, Dening, 2023. "Nonfragile synchronization control of T-S fuzzy Markovian jump complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    16. Han, Lihuan & Ma, Yuechao, 2024. "Learning-based asynchronous sliding mode control for semi-Markov jump systems with time-varying delay using relaxed negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    17. Huan, Mingchen & Li, Chuandong, 2023. "Synchronization of reaction–diffusion neural networks with sampled-data control via a new two-sided looped-functional," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    18. Cui, Lili & Zhang, Yong & Wang, Xiaowei & Xie, Xiangpeng, 2021. "Event-triggered distributed self-learning robust tracking control for uncertain nonlinear interconnected systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    19. Wang, Haitao & Chen, Xiangyong & Wang, Jing, 2022. "H∞ sliding mode control for PDT-switched nonlinear systems under the dynamic event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    20. Cen, Yushan & Cao, Liang & Zhang, Linchuang & Pan, Yingnan & Liang, Hongjing, 2024. "GPIO-based optimal containment control for autonomous underwater vehicles with external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012153. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.