State Feed Back H-infinity Control of Discrete Singular Systems with State and Input Delays

The problem of H-infinity control for a class of discrete singular systems with state and input delays is considered. Fist of all, By means of linear matrix inequalities (LMIS), a sufficient condition is obtained for a discrete singular system with state and input delays to be zero solution asymptotic stable and satisfied the H-infinity norm constraint. Then the existence conditions of static memory-less feedback control laws is presented, and the explicit expressions for such controllers are derived in terms of the solutions of LMIS. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.