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New LMI approach to H∞ control of discrete-time singular systems

Author

Listed:
  • Chang, Xiao-Heng
  • Wang, Xiao-Yan
  • Hou, Li-Wei

Abstract

This article studies the problem of feedback H∞ control for discrete-time singular system. The objective is to design the controller to make the closed-loop system admissible and satisfy the specified H∞ performance. Firstly, the admissibility of the closed-loop system is analyzed via the Lyapunov function and linear matrix inequality (LMI) method, the admissibility condition of the singular system with H∞ performance is given. Then, applying a useful matrix inequality lemma, the controller design condition for discrete-time singular system is shown by a LMI. Specially, the benefit of the proposed design result is their less conservatism, the validity of the viewpoint is proposed by numeric illustrations.

Suggested Citation

  • Chang, Xiao-Heng & Wang, Xiao-Yan & Hou, Li-Wei, 2024. "New LMI approach to H∞ control of discrete-time singular systems," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    • Handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001759
    DOI: 10.1016/j.amc.2024.128703
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    References listed on IDEAS

    as
    1. Li-Juan Cai & Xiao-Heng Chang, 2023. "Reduced-order filtering for discrete-time singular systems under fading channels," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(1), pages 99-112, January.
    2. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
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