Brief paper: feedback control for switched positive linear systems

Author

Junfeng Zhang ; Zhengzhi Han ; Fubo Zhu ; Jun Huang

Author_Institution

Sch. of Electron. Inf. & Electr. Eng., Shanghai Jiao Tong Univ., Shanghai, China

Volume

7

Issue

3

fYear

2013

fDate

February 14 2013

Firstpage

464

Lastpage

469

Abstract

This study investigates the feedback control for a class of switched positive linear systems (SPLSs). By means of the linear programming approach, output-feedback and state-feedback controllers for the underlying systems with average dwell time are designed, respectively. Under these controllers, the closed-loop systems are positive and asymptotically stable. These results obtained provide a way to solve the control synthesis problems of SPLSs by multiple linear copositive Lyapunov functions. Finally, an example is given to illustrate the validity of the present design.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; control system synthesis; linear programming; linear systems; state feedback; time-varying systems; SPLS; asymptotic stability; average dwell time; closed-loop systems; linear programming approach; multiple linear copositive Lyapunov functions; output-feedback controller; positive stability; state-feedback controller; switched positive linear systems;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2012.0428

Filename

6544446