摘要
对于一类时滞Lurie控制系统,利用Lyapunov-Krasovsklii泛函、线性矩阵不等式(LMI)方法、变量替换法和Schur补引理研究了该系统的动态输出反馈H_2/H_∞混合控制的分析与设计方法,给出了该系统是渐近稳定的,具有H_∞性能、H_2性能和动态输出反馈H_2/H_∞混合控制器存在的一个充分条件,并通过数值例子验证了所提设计方法和所得结论的正确性.
This paper is concerned with the H2/H∞ control problem based on dynamic output feedback controllers for a class of Lurie control systems with time-delay. Employed Lyapunov-Krasovskii functional , Matrix inequality approach ,Schur complement and Variable substitution method, In addition, the asymptotic stability of Lurie systems and H∞ performance, H2 performance are analyzed. And H2/H∞ controller is designed for the Lurie control systems. In the final, the effectiveness of design method and conclusion is shown with numerical example.
作者
包春霞
包俊东
BAO Chun-xia, BAO Jun-dong(College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, Lnncr Mongolia, Chin)
出处
《山西师范大学学报（自然科学版）》
2018年第2期29-36,共8页
Journal of Shanxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11561053)
内蒙古师范大学十百千人才工程项目(RCPY-2-2012-K-037)
