Robust H_2/H_∞ Control for Delta Operator Uncertain System

The problem of H2/H∞ robust control for delta operator formulated a kind of linear systems with norm-bounded model parameter uncertainty and exterior disturbance was considered.A sufficient and necessary conditions and the corresponding state feedback control law were derived in terms of linear matrix inequality.It is showed that this condition is equivalent to the feasible solutions problem of a linear matrix inequality and its solutions provide a parameterized representation of the controller.Furthermore,the design problem of optimal robust H2/H∞ controller was given by solving a corresponding convex optimization problem.Finally,an example was given to illustrate the feasibility of the presented method.