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Sliding mode control of persistent dwell-time switched systems with random data dropouts

Author

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  • Yang, Yi
  • Chen, Fei
  • Lang, Jiahong
  • Chen, Xiangyong
  • Wang, Jing

Abstract

This paper concentrates on the sliding mode control problem for a set of discrete-time switched systems. As the first attempt, the persistent dwell-time switching rule is considered in the research of sliding mode control for switched systems. Furthermore, data dropouts are frequently encountered in the process of data transmission, and it should be considered in the process of designing the sliding mode control law so that the state trajectories are guaranteed to move in a region around the specified sliding surface. Based on the Lyapunov theory and the matrix convex optimization technique, the main concern of this paper is to construct a sliding mode controller to ensure that the closed-loop system is mean-square exponentially stable with a prescribed weighted H∞ performance. Finally, the effectiveness and rationality of the obtained results are verified by a numerical example.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321001351
    DOI: 10.1016/j.amc.2021.126087
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    References listed on IDEAS

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    1. 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).
    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. Li, Zhi-Min & Chang, Xiao-Heng & Yu, Lu, 2016. "Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 361-371.
    4. Zhang, Jing & Xia, Jianwei & Sun, Wei & Zhuang, Guangming & Wang, Zhen, 2018. "Finite-time tracking control for stochastic nonlinear systems with full state constraints," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 207-220.
    5. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    6. 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).
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    Cited by:

    1. Chen, Zongjie & Zhang, Yigang & Kong, Qingkai & Fang, Ting & Wang, Jing, 2022. "Observer-based H∞ control for persistent dwell-time switched networked nonlinear systems under packet dropout," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Li, Lili & Ju, Mingzhe & Zhao, Ying & Liu, Tianhe, 2022. "Almost output regulation for switched linear systems with bumpless transfer control under destabilizing behaviors," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    3. Dai, Shifang & Zha, Lijuan & Liu, Jinliang & Xie, Xiangpeng & Tian, Engang, 2022. "Fault detection filter design for networked systems with cyber attacks," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    4. 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).
    5. Zhao, Zhi-Ye & Jin, Xiao-Zheng & Wu, Xiao-Ming & Wang, Hai & Chi, Jing, 2022. "Neural network-based fixed-time sliding mode control for a class of nonlinear Euler-Lagrange systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    6. Li, Lili & Tuo, Yulong & Li, Tieshan & Tong, Meijuan & Wang, Shasha, 2022. "Time-varying formation control of multiple unmanned surface vessels with heterogeneous hydrodynamics subject to actuator attacks," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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