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State Feedback H8 Control for Time-Varying Singular System

Considering the time-varying singular systems, by using analysis method of Lyapunov functions and inequalities of matrix, through the asymptotic stability of linear time-varying system and the necessary and sufficient conditions of admissibility for time-varying singular systems, the necessary and sufficient conditions of admissibility for the time-varying singular systems and meet the H∞ control performance index are put forward. By introducing a state feedback, a solution of state feedback H∞ controller for time-varying singular systems is obtained. The conclusions of H∞ control research achievements are natural extend from the singular systems to the time-varying singular systems. Finally, a numerical example is given to illustrate the effectiveness of the obtained conclusions.