Robust stability and stabilisation of uncertain switched linear discrete time-delay systems

被引：88
|
作者：
Zhang, L. [1 ]
Shi, P. [2 ]
Basin, M. [3 ]
机构：
[1] Ecole Polytech, Stn Ctr Ville, Montreal, PQ H3C 3A7, Canada
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, Nuevo Leon 66450, Mexico
来源：
IET CONTROL THEORY AND APPLICATIONS | 2008年 / 2卷 / 07期
关键词：
D O I：
10.1049/iet-cta:20070327
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The robust stability and stabilisation problems for switched linear discrete-time systems are studied. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee the stability of the uncertain system. Then, a control law is designed so that the resulting closed-loop system is stable for all admissible uncertainties. A linear matrix inequality approach, together with a cone complementary linearisation algorithm, is proposed to solve the above problems. A numerical example is given to show the potential applicability of the obtained theoretic results.
引用
收藏
页码：606 / 614
页数：9
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