Guaranteed cost control for uncertain singular systems with time-delay

This paper concerns the robust guaranteed cost control problem for a class of time-delay singular systems with norm-bounded uncertainties. The problem is to design a memoryless state feedback control law such that the closed-loop systems is asymptotically stable and the closed-loop cost function value is not more than s specified upper bound for all admissible uncertainties. Based on linear inequality, the sufficient conditions for the existence of such controller are derived by using a descriptor model transformation of the system. The developed results are expressed in terms of algebraic matrix inequalities. An example is provided to illustrate the proposed approach.