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Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time

Author

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  • Huo, Xin
  • Ma, Li
  • Zhao, Xudong
  • Zong, Guangdeng

Abstract

This paper investigates the problem of event-triggered adaptive fuzzy output feedback control for a class of multi-input and multi-output (MIMO) switched nonlinear systems. The system under study contains unknown nonlinear functions and unmeasured states, which make it difficult or even impossible to check the assumption of input-to-state stable (ISS) with respect to the measurement errors. Based on the Lyapunov stability theory and the backstepping design technique, actual controllers for every subsystem and the corresponding triggering mechanism are designed at the same time, which removes the ISS assumption demanded in most literature. The proposed control scheme can guarantee that all the signals in the closed-loop system are bounded under a class of switching signals with average dwell time and the tracking errors can converge to a small residual near the origin. Simulation examples are also given to illustrate the validity of the proposed scheme.

Suggested Citation

  • Huo, Xin & Ma, Li & Zhao, Xudong & Zong, Guangdeng, 2020. "Event-triggered adaptive fuzzy output feedback control of MIMO switched nonlinear systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    • Handle: RePEc:eee:apmaco:v:365:y:2020:i:c:s0096300319306575
    DOI: 10.1016/j.amc.2019.124665
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    Citations

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    Cited by:

    1. Zhou, Yusheng & Chen, Danhong, 2021. "Optimized state-dependent switching law design for a class of switched nonlinear systems with two unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    2. Ma, Haoxiang & Xiong, Shixun & Fu, Zhumu & Tao, Fazhan & Ji, Baofeng, 2024. "High-order disturbance observer-based safe tracking control for a class of uncertain MIMO nonlinear systems with time-varying full state constraints," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    3. Guo, Yaxiao & Li, Junmin & Duan, Ruirui, 2021. "Extended dissipativity-based control for persistent dwell-time switched singularly perturbed systems and its application to electronic circuits," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    4. Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R. & Lee, S.M., 2024. "Event-triggered control design with varying gains for polynomial fuzzy systems against DoS attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 1-14.
    5. Fu, Teng & Zhou, Yusheng, 2022. "Stabilization of switched time-delay systems with only unstable subsystems: a new approach based on a vibration model of 1.5 degrees of freedom," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    6. Zhang, Qiliang & Feng, Jun-e & Wang, Biao & Wang, Peihe, 2020. "Event-triggered mechanism of designing set stabilization state feedback controller for switched Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    7. Hu, Yifan & Liu, Wenhui & Liu, Guobao, 2022. "Adaptive finite‐time event‐triggered control for uncertain nonlinearly parameterized systems with unknown control direction and actuator failures," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    8. Sun, Yuchen & Ma, Shuping, 2021. "Output regulation of switched singular systems based on extended state observer approach," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    9. Gu, Yang & Sun, Zhenxing & Li, Li-Wei & Park, Ju H. & Shen, Mouquan, 2022. "Event-triggered security adaptive control of uncertain multi-area power systems with cyber attacks," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    10. Yao, Hejun & Gao, Fangzheng & Huang, Jiacai & Wu, Yuqiang, 2021. "Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    11. Han, Yunrui & Zhao, Ying & Wang, Peng, 2021. "Finite-time rate anti-bump switching control for switched systems," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    12. Yang, Nana & Li, Junmin & Chen, Jiaxi, 2020. "Fully distributed hybrid adaptive learning consensus protocols for a class of non-linearly parameterized multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    13. Yang, Wei & Cui, Guozeng & Ma, Qian & Ma, Jiali & Tao, Chongben, 2022. "Finite-time adaptive event-triggered command filtered backstepping control for a QUAV," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    14. Ju, Xinxu & Jia, Xianglei & Shi, Xiaocheng & Yu, Shan’en, 2022. "Adaptive output feedback event-triggered tracking control for nonlinear systems with unknown control coefficient," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    15. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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