关键词: 时滞系统, 线性矩阵不等式, LyapunovKrasovskii泛函, 时滞依赖, 保性能控制率, 最优控制, Schur补引理

Abstract:

The author analyzed  the problem of guaranteed cost control for singularly perturbed systems with timeinvarying time delay via Lyapunov stability theory and with the help of matrix analysis method. Based on a new quadratic LY performance index, the sufficient quadratic stability conditions, state feedback guaranteed cost control rate and the guaranteed cost index were presented by showed LMIs, and the minimum performance indication upper bound was derived.

Key words:  timedelay system, linear matrix inequality(LMI), LyapunovKrasovskii functional, delaydependent, guaranteed cost control rate, optimal control, Schur complement lemma