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Asynchronous output regulation for a class of linear descriptor switched systems via an error-feedback controller

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  • Sun, Yuchen
  • Ma, Shuping

Abstract

This technical note is devoted to the asynchronous output regulation problem (AORP) for linear continuous descriptor switched systems. Firstly, by constructing the state transformation and a less restrictive Lyapunov function which can be increased at the beginning of the subsystem operating modes, solvable conditions containing the matrix equations and inequalities are developed to make the AORP solvable under the average dwell time switching. Then, by utilizing the matrix Moore-Penrose generalized inverse and the matrix decomposition of descriptor switched systems, the preconditions for the existence of solutions and the solving procedure are derived. Based on that and by means of the matrix decoupling methods, linear matrix inequality (LMI) conditions to make the considered problem solvable and the controller design approaches are obtained. At last, illustrative and practical examples are given to verify the effectiveness of the obtained strategies.

Suggested Citation

  • Sun, Yuchen & Ma, Shuping, 2023. "Asynchronous output regulation for a class of linear descriptor switched systems via an error-feedback controller," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    • Handle: RePEc:eee:apmaco:v:450:y:2023:i:c:s0096300323001601
    DOI: 10.1016/j.amc.2023.127991
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    References listed on IDEAS

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    1. Wang, Ruihua & Jiao, Ticao & Zhang, Tao & Fei, Shumin, 2019. "Improved stability results for discrete-time switched systems: A multiple piecewise convex Lyapunov function approach," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 54-65.
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