-Dependent model reduction for uncertain discrete-time switched linear systems with average dwell time

被引:32
作者
Zhang, Lixian [1 ,3 ]
Boukas, El-Kebir [1 ,3 ]
Shi, Peng [2 ,4 ,5 ,6 ]
机构
[1] Ecole polytechn Montreal, Dept Mech Engn, Montreal, PQ, Canada
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd, M Glam, Wales
[3] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada
[4] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[5] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
[6] Univ S Australia, Sch Math & Stat, Mawson Lakes, SA, Australia
关键词
average dwell time; linear matrix inequalities; model reduction; switched linear systems; STOCHASTIC-SYSTEMS; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; PIECEWISE AFFINE;
D O I
10.1080/00207170802126856
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 article, the model reduction problem for a class of discrete-time polytopic uncertain switched linear systems with average dwell time switching is investigated. The stability criterion for general discrete-time switched systems is first explored, and a -dependent approach is then introduced for the considered systems to the model reduction solution. A reduced-order model is constructed and its corresponding existence conditions are derived via LMI formulation. The admissible switching signals and the desired reduced model matrices are accordingly obtained from such conditions such that the resulting model error system is robustly exponentially stable and has an exponential H performance. A numerical example is presented to demonstrate the potential and effectiveness of the developed theoretical results.
引用
收藏
页码:378 / 388
页数:11
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