Robust Dissipative Control for Uncertain Descriptor Linear Systems with Time Delay

This paper deals with robust dissipative control for a class of uncertain descriptor linear systems with time delay. A sufficient condition on the existence of robust dissipative controllers is established based on the Lyapunov stability theory. With the help of a couple of linear matrix inequalities, robust dissipative controllers are designed such that the closed-loop system is both regular, impulse free and strictly (Q,S,R) issipative for all the uncertainties. The proposed results of this paper unify the existing results on Hinfin control and passive control on descriptor linear systems. A numerical example shows the validity of our method

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