Design of multiple-mode observer and multiple-mode controller for switched positive linear systems

被引：14

作者：

Liu, Li-Juan ^{[1
,2
]}

Zhao, Xudong ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China

[2] Dalian Jiaotong Univ, Sch Software, Dalian 116052, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 09期

基金：

中国国家自然科学基金;

关键词：

observers; uncertain systems; closed loop systems; linear programming; control system synthesis; linear systems; feedback; robust control; switching systems (control); multiple-mode observer; multiple-mode controller; linear programming approach; robust multiple-mode interval observer; multiple-mode output-feedback controller; uncertain parameters; closed-loop system; uncertain switched positive linear system; SUPERVISORY CONTROL; STABILITY; STABILIZATION; CRITERIA; STATE;

D O I：

10.1049/iet-cta.2018.5625

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 study, the design problem of multiple-mode observer and multiple-mode controller is studied for switched positive linear systems. By proposing a new design approach for a class of switched positive linear system, numerical conditions for the existence of multiple-mode observer and multiple-mode controller are presented by using linear programming approach. First, a multiple-mode observer is designed such that the error system is exponentially stable. Next, a robust multiple-mode interval observer is presented for uncertain switched positive systems with uncertain parameters. In the sequel, a multiple-mode output-feedback controller is designed such that the closed-loop system is exponentially stable. Compared with the existing references, the design method can bring out lower computational burden. Finally, three examples are given to show the effectiveness of the authors' results.

引用

页码：1320 / 1328

页数：9