Controller synthesis for switched positive linear systems

Author

Jinjin Liu ; Kanjian Zhang ; Haikun Wei

Author_Institution

Sch. of Autom., Southeast Univ., Nanjing, China

Volume

3

fYear

2014

fDate

26-28 April 2014

Firstpage

1445

Lastpage

1449

Abstract

This paper addresses the controller synthesis for a class of continuous-time switched positive linear systems. A sufficient condition for the existence of a set of state-feedback controllers which guarantee the positivity and stability of the closed-loop systems for switched positive linear systems are presented, including the requirement of positive or negative controllers. In addition, the controller synthesis problems with interval and polytopic uncertainties are also addressed. All the obtained conditions are solved in terms of Linear Programming. Finally, numerical examples are provided to illustrate the effectiveness of the result.

Keywords

closed loop systems; continuous time systems; control system synthesis; linear systems; stability; state feedback; closed-loop systems; continuous-time switched positive linear systems; controller synthesis problems; interval uncertainties; linear programming; negative controllers; polytopic uncertainties; positive controllers; stability; state-feedback controllers; Closed loop systems; Linear systems; Robustness; Stability analysis; Switches; Uncertainty; Switched positive linear systems; interval uncertainty; linear programming; polytopic uncertainty; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Science, Electronics and Electrical Engineering (ISEEE), 2014 International Conference on

Conference_Location

Sapporo

Print_ISBN

978-1-4799-3196-5

Type

conf

DOI

10.1109/InfoSEEE.2014.6946159

Filename

6946159