Robust H8 Stabilization Control for Linear Time-Varying Uncertain Singular System

Considering the linear time-varying uncertain singular system, by using analysis method of matrix inequality, the concept of robust H8 stability and robust H8 stabilization for the system, matrix inequalities for this kind of systems are established, the problem of robust H8 stability for this kind of systems are transformed into solving the matrix inequality problem, the necessary and sufficient conditions of robust H8 stability, and also discuss the problem of robust H 8 stabilization for the closed-loop system based on the control of state feedback, the condition of robust H 8 stabilization for this kind of systems is obtained. The robust H 8 stabilization controllers is desinged. Finally, a numerical example is provided to illustrate the feasibility of the proposed conclusion.