NDLI: Design of observer-based controllers for LPV systems with unknown parameters

Content Provider	IEEE Xplore Digital Library
Author	Heemels, W.P.M.H. Daafouz, J. Millerioux, G.
Copyright Year	2009
Description	Author affiliation: Nancy University, Centre de Recherche en Automatique de Nancy, France (Daafouz, J.; Millerioux, G.) \|\| Eindhoven University of Technology, Dept. of Mechanical Engineering, Control Systems Technology, The Netherlands (Heemels, W.P.M.H.)
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.
Starting Page	1836
Ending Page	1841
File Size	1161247
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5399793
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems Output feedback State feedback Automatic control Robust control Control system synthesis Linear matrix inequalities Dynamic programming Control design Feedback control separation principle LPV systems output feedback and observers robust control LMIs
Content Type	Text
Resource Type	Article

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