Robust H∞ 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 H infinity stability and robust H infinity stabilization for the system, matrix inequalities for this kind of systems are established, the problem of robust H infinity stability for this kind of systems are transformed into solving the matrix inequality problem, the necessary and sufficient conditions of robust H infinity stability, and also discuss the problem of robust H infinity stabilization for the closed-loop system based on the control of state feedback, the condition of robust H infinity stabilization for this kind of systems is obtained. the robust H infinity stabilization controllers is desinged. Finally, a numerical example is provided to illustrate the feasibility of the proposed conclusion.