Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs

被引:63
作者
Farges, Christophe
Peaucelle, Dimitri
Arzelier, Denis
Daafouz, Jamal
机构
[1] CNRS, LAAS, F-31077 Toulouse, France
[2] INPL, ENSERM, CRAN, F-54516 Vandoeuvre Les Nancy, France
关键词
linear periodic discrete-time systems; polytopic uncertainty; robust stability; quadratic stability; parameter-dependent Lyapunov functions; H-2; performance; LMI;
D O I
10.1016/j.sysconle.2006.08.006
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback control law is tackled here, along with H-2 performance optimization. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust H-2 stabilization is proposed. Based on periodic parameter-dependent Lyapunov functions, this last condition is shown to be always less conservative than the more classic one based on the quadratic stability framework. This is illustrated on a numerical example from the literature. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:159 / 166
页数:8
相关论文
共 29 条