Title :
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
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;
Conference_Titel :
Control and Fault-Tolerant Systems (SysTol), 2010 Conference on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-8153-8
DOI :
10.1109/SYSTOL.2010.5675994
