State estimation for affine LPV systems

Author

BARA, G. Iulia ; Daafouz, Jamal ; Ragot, José ; Kratz, Frédéric

Author_Institution

Centre de Recherche en Autom. de Nancy, Vandoeuvre, France

Volume

5

fYear

2000

fDate

2000

Firstpage

4565

Abstract

The design of a scheduled observer which allows us to estimate the state of an affine LPV (linear parameter varying) system is investigated. The state and the gain matrices of the observer are scheduled by using an interpolation method which is linear according to each parameter but which is nonlinear according to the parameter vector. The stability of the estimation error is based on the existence of an affine parameter-dependent Lyapunov function. The problem of the observer design and the existence of a such Lyapunov function is interpreted as an LMI feasibility problem with a rank constraint. An example is presented

Keywords

Lyapunov methods; interpolation; linear systems; matrix algebra; observers; stability; LMI feasibility problem; affine linear parameter varying system; affine parameter-dependent Lyapunov function; estimation error; gain matrices; linear matrix inequalities; rank constraint; scheduled observer; Dynamic scheduling; Estimation error; Interpolation; Linear feedback control systems; Lyapunov method; Observers; Stability; State estimation; State feedback; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914634

Filename

914634