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Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method

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  • Wang, Qingzhi
  • He, Yong
  • Tan, Guanzheng
  • Wu, Min

Abstract

This paper focuses on the observer-based periodically intermittent control issue for linear systems by utilizing piecewise Lyapunov function method. Based on the concept of intermittent control, the description of an observer-based periodically intermittent controller is initially proposed. Then, stability of the corresponding periodically intermittent control system is analyzed by resorting to piecewise Lyapunov function method. Here, the so-called piecewise Lyapunov function means that Lyapunov function on control time intervals differs from the one on free time intervals. Besides, the existence of an observer-based periodically intermittent controller is converted into the feasibility of linear matrix inequalities. It is worth pointing out that, in comparison with an observer-based continuous controller, the designed observer-based periodically intermittent controller can still retain satisfactory performance with shorter control task execution time. Finally, an illustrative simulation example is given to show the validity and superiority of the result.

Suggested Citation

  • Wang, Qingzhi & He, Yong & Tan, Guanzheng & Wu, Min, 2017. "Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 438-447.
    • Handle: RePEc:eee:apmaco:v:293:y:2017:i:c:p:438-447
    DOI: 10.1016/j.amc.2016.08.042
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    References listed on IDEAS

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    1. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.
    2. Majeed, Raafia & Ahmad, Sohaira & Rehan, Muhammad, 2015. "Delay-range-dependent observer-based control of nonlinear systems under input and output time-delays," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 145-159.
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    Cited by:

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    2. Kun Li & Rongfeng Li & Longzhou Cao & Yuming Feng & Babatunde Oluwaseun Onasanya, 2023. "Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
    3. Zhou, Ya & Wan, Xiaoxiao & Huang, Chuangxia & Yang, Xinsong, 2020. "Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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    5. Mao-Dong Xia & Cheng-Lin Liu & Fei Liu, 2018. "Formation-Containment Control of Second-Order Multiagent Systems via Intermittent Communication," Complexity, Hindawi, vol. 2018, pages 1-13, December.
    6. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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