Robust stability and quadratic stability for linear time-varying uncertain singular system

被引:0
作者
Wang, Gang [1 ]
Su, Xiao-Ming [2 ]
Feng, Jun [1 ]
Li, Yu [1 ]
机构
[1] Taizhou Institute of Science & Technology, Nanjing University of Science & Technology, Taizhou
[2] School of Science, Shenyang University of Technology, Shenyang
来源
Kongzhi yu Juece/Control and Decision | 2015年 / 30卷 / 05期
关键词
Linear time-varying singular system; Matrix inequality; Quadratic stability; Robust stability;
D O I
10.13195/j.kzyjc.2014.0311
中图分类号
学科分类号
摘要
Considering the linear time-varying uncertain singular system, by using the analysis method of matrix inequality, the concepts of robust stability and quadratic stability for the linear time-varying uncertain singular system are proposed. Matrix inequalities for this kind of systems are established. The problems of robust control for this kind of systems are transformed to solve the matrix inequality problem, so that the necessary and sufficient conditions of robust stability and quadratic stability are obtained for the system, and the design methods for state feedback robust stabilization controllers are presented. Finally, a numerical example is provided to illustrate the feasibility of the proposed method. ©, 2015, Northeast University. All right reserved.
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页码:929 / 933
页数:4
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