关键词: 线性矩阵不等式(LMI), Schur补引理, Lyapunov-Krasovskii(L-K)泛函, 交叉项界定法, 性能指标

Abstract: Based on the stability analysis theory, by using linear matrix inequality method and cross term definition method, the author designed a dynamic output feedback H_∞ controllers without memory and memory, constructed a new Lyapunov-Krasovskii(L-K) functional, and derived a sufficient criterion for the asymptotic stability of dynamic output feedback control under the condition of meeting H_∞ performance index, the obtained theorem was suitable for standard and non-standard cases. The effectiveness of the control method was verified by numerical example.

Key words: linear matrix inequality (LMI), Schur complement lemma, Lyapunov-Krasovskii functional, cross-term defined method, performance index