Title :
Static output stabilisation of singular LPV systems: LMI formulation
Author :
Chadli, M. ; Darouach, M. ; Daafouz, J.
Author_Institution :
MIS, Univ. of Picardie Jules Verne, Amiens, France
Abstract :
This paper addresses the design of static output feedback controller for singular discrete-time LPV systems. Sufficient synthesis conditions are derived in Linear Matrix Inequalities (LMI) formulation. To introduce more of relaxation, polyquadratic Lyapunov functions is proposed instead of quadratic method, the number of LMI conditions is reduced and extra degrees of freedom are included. Academic example is proposed to illustrate the effectiveness of the derived results.
Keywords :
Lyapunov methods; control system synthesis; discrete time systems; feedback; linear matrix inequalities; linear systems; linear matrix inequalities; polyquadratic Lyapunov functions; quadratic method; singular discrete-time LPV systems; static output feedback controller; static output stabilisation; Control system synthesis; Control systems; Interpolation; Linear feedback control systems; Linear matrix inequalities; Lyapunov method; Output feedback; Stability; Switching systems; Symmetric matrices; LMI; LPV systems; Lyapunov method; Singular systems; static output control;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739358
