OBSERVER-BASED CONTROLLER DESIGN OF DISCRETE-TIME PIECEWISE AFFINE SYSTEMS

被引：6
作者：
Gao, Ya-Hui [1 ]
Liu, Zhi-Yuan [1 ]
Chen, Hong [2 ]
机构：
[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Peoples R China
[2] Jilin Univ, Dept Control Sci & Engn, Changchun 130025, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2010年 / 12卷 / 04期
关键词：
Piecewise affine system; discrete-time system; observer; linear matrix inequality (LMI); CHAOS SYNCHRONIZATION; PREDICTIVE CONTROL; STABILITY;
D O I：
10.1002/asjc.207
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a novel observer-based controller design method for discrete-time piecewise affine (PWA) systems. The basic idea is as follows: at first, a piecewise linear (without affine terms) state feedback controller and a PWA observer are designed separately, and then it is proved that the output feedback controller constructed by the resulting observer and state feedback controller gains can guarantee the stability of the closed-loop system. During the controller design, the piecewise-quadratic Lyapunov function technique is used. Moreover, the region information is taken into account to treat the affine terms, so the controller gains can be obtained by solving a set of linear matrix inequalities, which are numerically feasible with commercially available software. Three simulation examples are given finally to verify the proposed theoretical results.
引用
收藏
页码：558 / 567
页数：10
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