The robust state feedback H/sub /spl infin// control for discrete-time singular systems with uncertainties

This paper discusses the robust state feedback H/sub /spl infin// control problem for uncertain discrete-time singular systems. The equivalence of this problem and the robust state feedback H/sub /spl infin// control problem for standard state-space uncertain discrete-time systems is presented without the assumption of regularity. In terms of LMI, the necessary and sufficient condition for the solution of this problem is given, the design method of the controller and a state feedback controller are also given.