节点文献
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 for a Class of Integrated Control Systems
【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.
【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.
【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;
【Key words】 linear matrix inequality(LMI); Schur complement lemma; Lyapunov-Krasovskii functional; cross-term defined method; performance index;
【Key words】 linear matrix inequality(LMI); Schur complement lemma; Lyapunov-Krasovskii functional; cross-term defined method; performance index;
【基金】 国家自然科学基金(批准号:61741318)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2023年03期
- 【分类号】TP273
- 【下载频次】28