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

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...

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Published inInternational journal of systems science Vol. 47; no. 14; pp. 3394 - 3408
Main Authors Ma, Yuechao, Fu, Lei
Format Journal Article
LanguageEnglish
Published Taylor & Francis 25.10.2016
Subjects
actuator saturation
control
discrete-time switched systems
Finite-time H
singular time-delay systems
static output-feedback control
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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.
AbstractList 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.
Author Ma, Yuechao
Fu, Lei
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  organization: Institute of Electrical Engineering, University of Yanshan
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Snippet 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...
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SubjectTerms actuator saturation
control
discrete-time switched systems
Finite-time H
singular time-delay systems
static output-feedback control
Title Finite-time H∞ control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback
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