Delay-dependent State Feedback Guaranteed Cost Control for Uncertain Singular Time-delay Systems

This paper considers the problem of state feedback guaranteed cost controller design for singular time-delay systems with norm-bounded parameter uncertainty. First, in terms of the Lyapunov technique and linear matrix inequalities (LMIs), a delay-dependent stability criterion for the normal singular time-delay system is established, which guarantees the system to be regular, impulse free and asymptotically stable. Then, based on the concept of generalized quadratic stability, we obtain a delay-dependent sufficient condition for the existence of the state feedback guaranteed cost controller in the forms of linear matrix inequalities. Finally, one numerical example is given to illustrate the validity of the arithmetic provided in this paper.