A descriptor system approach to robust stability analysis and controller synthesis

被引：102
|
作者：
Cao, YY [1 ]
Lin, ZL
机构：
[1] Zhejiang Univ, Dept Control Engn, Hangzhou 310027, Peoples R China
[2] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22903 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 11期
关键词：
affine parameter systems; descriptor systems; parameter dependent Lyapunov functions; polytopic systems; robust stability;
D O I：
10.1109/TAC.2004.837749
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note revisits the problem of robust stability analysis and synthesis via parameter dependent Lyapunov functions. A descriptor system approach is taken to deriving linear matrix inequality conditions for robust stability and robust stabilizability of the polytopic systems and the affine parameter systems. Under these robust stabilizability conditions, state feedback laws that achieve robust stabilization are also constructed. The developed results can be viewed as a continuous-time counterpart of the discrete-time results by Oliveira et al. The effectiveness of the proposed analysis and synthesis approach is demonstrated by numerical examples.
引用
收藏
页码：2081 / 2084
页数：4
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