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不确定时滞系统的鲁棒稳定性研究
引用本文:孙新柱,江明. 不确定时滞系统的鲁棒稳定性研究[J]. 安徽机电学院学报, 2008, 0(2): 39-41
作者姓名:孙新柱  江明
作者单位:安徽工程科技学院电气工程系,安徽芜湖241000
基金项目:安徽工程科技学院青年科研基金资助项目(2007yq009zd)
摘    要:基于Layunov稳定性理论,研究了不确定性不满足匹配条件的时滞系统鲁棒稳定性问题.采用线性矩阵不等式方法,提出了不确定时滞系统鲁棒稳定控制器存在的充分条件,并给出使得闭环系统鲁棒稳定的状态反馈控制律设计方法.最后数值实例的仿真结果验证了文中设计方法的正确性。

关 键 词:不确定时滞系统  鲁棒稳定性  线性矩阵不等式(LMI)  状态反馈

Research of robust stability for uncertain time-delay systems
SUN Xin-zhu,JIANG Ming. Research of robust stability for uncertain time-delay systems[J]. Journal of Anhui Institute of Mechanical and Electrical Engineering, 2008, 0(2): 39-41
Authors:SUN Xin-zhu  JIANG Ming
Affiliation:(Dept. of Elec. Engn. ,Anhui University of Technology and Science, Wuhu 241000, China)
Abstract:For a class of uncertain time-delay systems with uncertainties which do not satisfy matching conditions, the problem of robustness stability is studied based on the Lyapunov stable theory. By means of linear matrix inequality approach, a sufficient condition of the existence of the robustly stable controllers for the uncertain time-delay systems is put forward, and the design method of state feedback controllers is obtained such that the closed-loop uncertain systems are robustly stable. Finally, Simulations of a numerical example indicate the validity of the proposed methods.
Keywords:uncertain time-delay system  robustness stability  linear matrix inequality (LMI)  state feedback
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