Control for stability and positivity: equivalent conditions and computation

Author

Gao, Huijun ; Lam, James ; Wang, Changhong ; Xu, Shengyuan

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., China

Volume

52

Issue

9

fYear

2005

Firstpage

540

Lastpage

544

Abstract

This paper investigates the stabilizability of linear systems with closed-loop positivity. A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. Both continuous and discrete-time cases are considered, and all of the conditions are expressed as linear matrix inequalities which can be easily verified by using standard numerical software. Numerical examples are provided to illustrate the proposed conditions.

Keywords

asymptotic stability; closed loop systems; continuous time systems; discrete time systems; linear matrix inequalities; linear systems; state feedback; Metzler matrix; asymptotically stable; closed-loop positivity; closed-loop system; linear matrix inequality; linear systems; nonnegative matrix; numerical software; stability control; state-feedback controllers; Automatic control; Biological system modeling; Control system synthesis; Control systems; Linear matrix inequalities; Linear systems; Software standards; Space technology; Stability; Sufficient conditions; Linear matrix inequality; Metzler matrix; nonnegative matrix; positive systems; stabilization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2005.850525

Filename

1510873