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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

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【作者】 孙凤琪

【Author】 SUN Fengqi;School of Mathematics and Computer Science, Jilin Normal University;

【机构】 吉林师范大学数学与计算机学院

【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.

【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
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