一类综合控制系统的动态输出反馈H_(∞)控制器设计  

Dynamic Output Feedback H_(∞) Controller Design fora Class of Integrated Control Systems

作　　者：孙凤琪[1] SUN Fengqi(School of Mathematics and Computer Science,Jilin Normal University,Siping 136000,Jilin Province,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《吉林大学学报（理学版）》2023年第3期687-694,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61741318).

摘　　要：基于稳定性分析理论,利用线性矩阵不等式方法和交叉项界定法,设计无记忆和记忆的动态输出反馈H_(∞)控制器,构造新的Lyapunov-Krasovskii(L-K)泛函,推出动态输出反馈控制在满足H_(∞)性能指标条件下渐近稳定的充分性判据,所得定理适用于标准和非标准情形.通过算例验证控制方法有效.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.

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 

分 类 号：O411[理学—理论物理]