DocumentCode
3546318
Title
Observer synthesis for Lipschitz discrete-time systems
Author
BARA, G. Iulia ; Zemouche, Ali ; Boutayeb, Mohamed
Author_Institution
Univ. Louis Pasteur, Illkirch, France
fYear
2005
fDate
23-26 May 2005
Firstpage
3195
Abstract
We present a new synthesis solution for the state estimation problem of a class of discrete-time systems, namely linear systems up to Lipschitz nonlinearities. Our solution is obtained by using the Lipschitz condition jointly with the Lyapunov stability condition in order to guarantee the asymptotic stability of the estimation error. This result uses the linear matrix inequality (LMI) formulation.
Keywords
Lyapunov methods; asymptotic stability; discrete time systems; linear matrix inequalities; nonlinear systems; observers; parameter estimation; stability criteria; Lipschitz discrete-time systems; Lipschitz nonlinearities; Lyapunov stability condition; asymptotic stability; estimation error; linear matrix inequality; observer synthesis; state estimation problem; Chaotic communication; Context; Estimation error; Linear systems; Lyapunov method; Nonlinear equations; Nonlinear systems; Riccati equations; Stability; State estimation;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN
0-7803-8834-8
Type
conf
DOI
10.1109/ISCAS.2005.1465307
Filename
1465307
Link To Document