Exact stability analysis of 2-D systems using LMIs

被引：67
|
作者：
Ebihara, Yoshio [1 ]
Ito, Yoshimichi
Hagiwara, Tomomichi
机构：
[1] Kyoto Univ, Dept Elect Engn, Kyoto 6158510, Japan
[2] Osaka Univ, Grad Sch Engn, Suita, Osaka 5650871, Japan
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 09期
关键词：
linear matrix inequalities (LMIs); stability analysis; two-dimensional (2-D) systems;
D O I：
10.1109/TAC.2006.880789
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, we propose necessary and sufficient conditions for the asymptotic stability analysis of two-dimensional (2-D) systems in terms linear matrix inequalities (LMIs). By introducing a guardian map for the set of Schur stable complex matrices, we first reduce the stability analysis problems into nonsingularity analysis problems of parameter-dependent complex matrice. Then, by means of the discrete-time positive real lemma and the generalized S-procedure, we derive LMI-based conditions that enable us to analyte the asymptotic stability in an exact (i.e., nonconservative) fashion. It turns out that, by employing the generalized S-procedure, we can derive smaller size of LMIs so that the computational burden can be reduced.
引用
收藏
页码：1509 / 1513
页数：5
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