Robust Stabilization and Robust H_∞ Control for the Delta Operator Systems via State Feedback

Robust stabilization and robust H ∞ control of the Delta operator formulated linear uncertain systems are considered in this paper. The definitions of stability and quadratic stabilization for Delta operator systems are introduced, then a sufficient and necessary condition and the corresponding state feedback control law for robust quadratic stabilization are developed. Based on the Delta operator bounded real lemma, sufficient condition with H ∞ norm bound on closed loop uncertain systems and state feedback design are presented. The proposed results can bring previous related conclusions of continuous time and discrete time systems into the unified Delta framework.