Title :
Controller synthesis for switched positive linear systems
Author :
Jinjin Liu ; Kanjian Zhang ; Haikun Wei
Author_Institution :
Sch. of Autom., Southeast Univ., Nanjing, China
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;
Conference_Titel :
Information Science, Electronics and Electrical Engineering (ISEEE), 2014 International Conference on
Conference_Location :
Sapporo
Print_ISBN :
978-1-4799-3196-5
DOI :
10.1109/InfoSEEE.2014.6946159
