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Zbl 1192.93030
Wang, Zidong; Wei, Guoliang; Feng, Gang
Reliable $H_\infty$ control for discrete-time piecewise linear systems with infinite distributed delays.
(English)
[J] Automatica 45, No. 12, 2991-2994 (2009). ISSN 0005-1098

Summary: The reliable $H_\infty$ control problem is investigated for discrete-time piecewise linear systems with time delays and actuator failures. The time delays are assumed to be infinitely distributed in the discrete-time domain, and the possible failure of each actuator is described by a variable varying in a given interval. The aim of the addressed reliable $H_\infty$ control problem is to design a controller such that, for the admissible infinite distributed delays and possible actuator failures, the closed-loop system is exponentially stable with a given disturbance attenuation level $\gamma$. The controller gain is characterized in terms of the solution to a linear matrix inequality that can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures.
MSC 2000:
*93B36 $H^\infty$-control
93C55 Discrete-time control systems
93C05 Linear control systems
93D20 Asymptotic stability of control systems

Keywords: piecewise linear systems; $H_\infty$ control; reliable control; infinite distributed delays; actuator failure

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