Observer based state feedback control design for switched linear systems: A differential petri net approach

Author

Hamdi, F. ; Messai, N. ; Manamanni, N.

Author_Institution

CReSTIC-URCA, Univ. of Reims, Champagne & Ardene, Reims, France

fYear

2010

fDate

6-8 Oct. 2010

Firstpage

167

Lastpage

172

Abstract

In this paper, a class of non-autonomous continuous switched linear systems is modeled by an adaptation of the Differential Petri Nets (DPN) formalism. Afterwards, a hybrid observer based state feedback control is proposed and sufficient LMI conditions for stabilizing the closed loop dynamics are provided. The latter is obtained using the separation principal for linear switched systems and the design is formulate in terms of linear matrix inequalities techniques. Finally, a numerical example shows the efficiency of the proposed approach.

Keywords

Petri nets; closed loop systems; continuous systems; control system synthesis; linear matrix inequalities; linear systems; observers; stability; state feedback; time-varying systems; DPN formalism; LMI condition; closed loop dynamics; differential Petri net; linear matrix inequalities; nonautonomous continuous switched linear system; observer; stabilization; state feedback control design; Firing; Linear systems; Observers; State feedback; Switched systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Fault-Tolerant Systems (SysTol), 2010 Conference on

Conference_Location

Nice

Print_ISBN

978-1-4244-8153-8

Type

conf

DOI

10.1109/SYSTOL.2010.5675994

Filename

5675994