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Extended dissipativity-based control for persistent dwell-time switched singularly perturbed systems and its application to electronic circuits

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  • Guo, Yaxiao
  • Li, Junmin
  • Duan, Ruirui

Abstract

In this paper, the extended dissipative control issue is studied for a class of discrete-time persistent dwell-time (PDT) switched singularly perturbed systems (SPSs). The persistent dwell-time switching strategy is employed to describe the fast and slow switching among several subsystems of the SPSs alternately. Based on Lyapunov stability theory and switched system theory, some sufficient conditions are obtained, which can ensure the exponentially stable and extended dissipative performance of the closed-loop systems. In addition, the slow state variables feedback (SSVF) controller gain is obtained by solving a set of linear matrix inequalities (LMIs). And, a convex optimization method is utilized to calculate the upper bound of singular perturbed parameters (SPP). Finally, a numerical example and an electronic circuits model are applied to demonstrate the practicability and effectiveness of the developed proposed technique.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001624
    DOI: 10.1016/j.amc.2021.126114
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    6. 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).
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    Cited by:

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