Advanced gain scheduling techniques for the design of parameter-dependent observers

Author

BARA, G. Iulia ; Daafouz, Jamal ; Kratz, Frederic

Author_Institution

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

Volume

4

fYear

2001

fDate

2001

Firstpage

3892

Abstract

We present a systematic framework for the design of affine gain scheduled observers for affine LPV systems. The stability of the estimation error is based on the existence of an affine parameter-dependent Lyapunov function. The main contribution of the paper is the fact that the observer synthesis is formulated as a more easily tractable condition. This is achieved by the application of the multiconvexity concept and the introduction of a slack variable which eliminates the coupling between the observer matrices and the parameter-dependent Lyapunov function

Keywords

Lyapunov methods; control system synthesis; linear systems; matrix algebra; observers; scheduling; stability; advanced gain scheduling techniques; affine LPV systems; affine gain scheduled observers; affine parameter-dependent Lyapunov function; estimation error; linear parameter varying systems; multiconvexity concept; observer matrices; observer synthesis; parameter-dependent observer design; slack variable; stability; systematic framework; tractable condition; Control system synthesis; Ear; Interpolation; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear control systems; Stability; State-space methods; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980480

Filename

980480