Title :
Observer synthesis for Lipschitz discrete-time systems
Author :
BARA, G. Iulia ; Zemouche, Ali ; Boutayeb, Mohamed
Author_Institution :
Univ. Louis Pasteur, Illkirch, France
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;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465307
