H∞ model reduction for uncertain switched linear discrete-time systems

被引：89
|
作者：
Zhang, Lixian [1 ]
Shi, Peng [2 ]
Boukas, El-Kebir [3 ]
Wang, Changhong [1 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada
来源：
AUTOMATICA | 2008年 / 44卷 / 11期
关键词：
Model reduction; Switched linear systems; Polytopic uncertainty; H-infinity performance; Linear matrix inequality (LMI);
D O I：
10.1016/j.automatica.2008.03.025
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 paper, the problem of H-infinity model reduction for switched linear discrete-time systems with polytopic uncertainties is investigated. A reduced-order switched model is constructed for a given robustly stable switched system, which has the same structural polytopic uncertainties as the original system, such that the resulting error system is robustly asymptotically stable and an H-infinity error performance is guaranteed. A sufficient condition for the existence of the desired reduced-order model is derived and formulated in terms of a set of linear matrix inequalities. By solving the corresponding convex optimization problem in such existence condition, the vertex system of reduced-order model can be obtained, which also provides an H-infinity gain for the error system between the original system and the reduced-order model. A numerical example is given to show the effectiveness and the potential of the proposed techniques. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2944 / 2949
页数：6
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