Feedback control for switched positive linear systems
- Author(s): Junfeng Zhang 1 ; Zhengzhi Han 1 ; Fubo Zhu 1 ; Jun Huang 2
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View affiliations
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Affiliations:
1:
School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China;
2: School of Mechanical and Electrical Engineering, Soochow University, Suzhou, Jiangsu 215021, People's Republic of China
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Affiliations:
1:
School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China;
- Source:
Volume 7, Issue 3,
14 February 2013,
p.
464 – 469
DOI: 10.1049/iet-cta.2012.0428 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received
09/06/2012,
Accepted
16/12/2012,
Revised
02/12/2012,
Published
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.
Inspec keywords: linear programming; time-varying systems; control system synthesis; closed loop systems; Lyapunov methods; asymptotic stability; state feedback; linear systems
Other keywords: state-feedback controller; SPLS; closed-loop systems; output-feedback controller; average dwell time; asymptotic stability; multiple linear copositive Lyapunov functions; positive stability; switched positive linear systems; linear programming approach
Subjects: Time-varying control systems; Stability in control theory; Control system analysis and synthesis methods; Optimisation techniques
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