Title :
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
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914634
