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 H_infin control and passive control on descriptor linear systems. A numerical example shows the validity of our method