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Delay-dependent Robust $H_{\infty}$ Control for Uncertain Discrete-time Descriptor Systems with Interval Time-varying Delays in State and Control Input  

Kim, Jong-Hae (선문대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.1, 2009 , pp. 193-198 More about this Journal
Abstract
In this paper, we consider the design problem of delay-dependent robust $H{\infty}$ controller of discrete-time descriptor systems with parameter uncertainties and interval time-varying delays in state and control input by delay-dependent LMI (linear matrix inequality) technique. A new delay-dependent bounded real lemma for discrete-time descriptor systems with time-varying delays is derived. The condition for the existence of robust $H{\infty}$ controller and the robust $H{\infty}$ state feedback control law are proposed by LMI approach. A numerical example is demonstrated to show the validity of the design method.
Keywords
Discrete-time Descriptor Systems; $H_{\infty}$ Control; Delay-dependent Approach; Parameter Uncertainty; LMI;
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