State Feedback Robust H-infinity Control for Discrete-Time Singular Systems

This paper presents the state feedback robust H-infinity control for a class of uncertain sinular discrete-time linear systems with norm-bounded parameter uncertainties.A sufficient condition for the solvability of the problem and the state feedback robust H-infinity feekback controller are obtained in terms of liner matrix inqualities.The designed controller guaranteed that the closed-loop systems was regular,causal,stable and satisfying a prescribed H-infinity norm bounded constraint for all admissible uncertain parameters under some conditions.