Title :
Design of observer-based controllers for LPV systems with unknown parameters
Author :
Heemels, W.P.M.H. ; Daafouz, J. ; Millerioux, G.
Author_Institution :
Dept. of Mech. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
Output-based feedback control of LPV systems is an important problem, as in practice it is rarely the case that the full state variable is available for feedback. In this paper we consider this problem in the case of discrete-time LPV systems for which the parameters are not exactly known, but only available with a finite accuracy or affected by noise during their measurement. The controllers are obtained using a separate design of an observer and a state feedback and the interconnection is proven to stabilize the LPV system despite the mismatch between the true and available parameters. The approach allows to maximize the parameter uncertainty while still guaranteeing closed-loop stability. In addition, it is possible to make tradeoffs between the admissible level of mismatch on the one hand and the performance in terms of decay factors on the other. All the design conditions will be formulated in term of LMIs, which can be solved efficiently, as is also illustrated by a numerical example.
Keywords :
closed loop systems; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; observers; stability; state feedback; closed loop stability; discrete time linear parameter varying systems; linear matrix inequalities; observer based controllers; output based feedback control; state feedback; Automatic control; Control design; Control system synthesis; Control systems; Dynamic programming; Feedback control; Linear matrix inequalities; Output feedback; Robust control; State feedback; LMIs; LPV systems; output feedback and observers; robust control; separation principle;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399793