A Revisit to the Design of Switched Observers for Switched Linear Systems with Unknown Inputs

被引：19

作者：

Huang, Gan-Ji ^{[1
]}

Chen, Wu-Hua ^{[2
]}

机构：

[1] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2014年 / 12卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Linear matrix inequality; switched system; time-varying Lyapunov function; unknown input observers; ORDER OBSERVERS; TIME;

D O I：

10.1007/s12555-013-0121-x

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 revisits the problem of designing switched observers for switched linear systems with unknown inputs. By performing a state and output coordinates transformation that decouples the unknown input, a novel piecewise time-varying Lyapunov function is introduced to analyze the stability of the switched error dynamics. Compared with the existing time-invariant Lyapunov function method, the proposed time-varying Lyapunov function method is more suitable to exploit the structural characteristics of switched linear systems. New conditions are derived that guarantee the exponential stability of the switched error dynamics. These conditions are formulated in term of linear matrix inequalities (LMIs). By solving a set of LMIs, the switched observers can be designed. Two numerical examples are provided to illustrate the effectiveness of the proposed method.

引用

页码：954 / 962

页数：9

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