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Stability analysis and stabilization of discrete-time switched nonlinear systems with mode-dependent average dwell time under nested actuator saturation

Author

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  • Liu, Li-Juan
  • Chen, Shu-Yue
  • Karimi, Hamid Reza
  • Zhang, Zhao

Abstract

In this paper, the stability analysis and stabilization of a class of mode-dependent mean residence time-based discrete-time switching nonlinear systems are addressed. More specifically, under the mode-dependent average dwell time (MDADT) switching mode, combined with the practical problem, the nonlinear factor of nested actuator saturation (NAS) is introduced. Firstly, in order to ensure the system stability, based on the parameter-dependent discontinuous switching Lyapunov function and several basic lemmas, a state feedback controller is designed that makes the closed-loop system (CLS) achieve local exponential stability (LES) by solving the optimal problem in terms of linear matrix inequalities (LMIs). Secondly, the system considers the maximum attraction domain that can be achieved by the NAS system under the conditions. The simulation results show the effectiveness of the proposed design method. At the same time, the efficiency of the proposed method is verified via a water tank example.

Suggested Citation

  • Liu, Li-Juan & Chen, Shu-Yue & Karimi, Hamid Reza & Zhang, Zhao, 2024. "Stability analysis and stabilization of discrete-time switched nonlinear systems with mode-dependent average dwell time under nested actuator saturation," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s096007792401107x
    DOI: 10.1016/j.chaos.2024.115555
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    References listed on IDEAS

    as
    1. Xinquan Zhang & Guoliang Wang & Jun Zhao, 2015. "Robust State Feedback Stabilization of Uncertain Discrete-Time Switched Linear Systems Subject to Actuator Saturation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, February.
    2. 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).
    3. Yujiao Liu & Rongqiang Tang & Chao Zhou & Zhengrong Xiang & Xinsong Yang, 2020. "Event-triggered leader-following consensus of multiple mechanical systems with switched dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(16), pages 3563-3572, December.
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