Static output stabilisation of singular LPV systems: LMI Formulation

Mohammed Chadli (1) , Mohamed Darouach (2) , Jamal Daafouz (2)

1 MIS - Modélisation, Information et Systèmes - UR UPJV 4290
2 CRAN - Centre de Recherche en Automatique de Nancy

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.

Mots clés: Singular systems; LPV systems; Static output control; Lyapunov method; LMI.; LMI

Domaines: Automatique / Robotique

Mohammed Chadli, Mohamed Darouach, Jamal Daafouz. Static output stabilisation of singular LPV systems: LMI Formulation. 47th IEEE Conference on Decision and Control, CDC'08, Dec 2008, Cancun, Mexico. pp.CDROM. ⟨hal-00344162⟩