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Finite-time control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback

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  • Yuechao Ma
  • Lei Fu

Abstract

This study employs the multiple Lyapunov-like function method and the average dwell-time concept of switching signal to investigate the finite-time H∞ static output-feedback (SOF) control problem for a class of discrete-time switched singular time-delay systems subject to actuator saturation. First, sufficient conditions are presented to guarantee the discrete-time switched singular time-delay system regular, causal and finite-time boundedness. Meanwhile, sufficient conditions are presented to ensure the H∞ disturbance attenuation level, and the design method of H∞ SOF controller is developed by solving matrix inequalities optimisation problem without any decompositions of system matrices and equivalent transformation. Finally, the effectiveness and merit of the theoretical results are shown through some numerical examples and several vivid illustrations.

Suggested Citation

  • Yuechao Ma & Lei Fu, 2016. "Finite-time control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3394-3408, October.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3394-3408
    DOI: 10.1080/00207721.2016.1157225
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    Cited by:

    1. Duan, Ruirui & Li, Junmin, 2020. "Finite-time distributed H∞ filtering for Takagi-Sugeno fuzzy system with uncertain probability sensor saturation under switching network topology: Non-PDC approach," Applied Mathematics and Computation, Elsevier, vol. 371(C).

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