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

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4793

Lastpage

4796

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739358

Filename

4739358