Observer-based control of discrete-time LPV systems with uncertain parameters

Maurice Heemels , Jamal Daafouz (1) , Gilles Millérioux (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient perfor- mance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability.

Mots clés: Linear matrix inequalities (LMIs); linear parameter-varying (LPV) systems; output feedback and observers; robust control; separation principle

Domaines: Automatique / Robotique

Maurice Heemels, Jamal Daafouz, Gilles Millérioux. Observer-based control of discrete-time LPV systems with uncertain parameters. IEEE Transactions on Automatic Control, 2010, 55 (9), pp.2130-2135. ⟨10.1109/TAC.2010.2051072⟩. ⟨hal-00529186⟩