Paper Info
Title
Observer synthesis method for Lipschitz nonlinear discrete-time systems with time-delay: An LMI approach
Abstract
In this paper, we address the problem of observer design for a class of Lipschitz nonlinear discrete-time systems with time-delay. The main contribution lies in the use of a new structure of the proposed observer with a novel Lyapunov–Krasovskii functional. Thanks to these designs, new nonrestrictive synthesis conditions, expressed in terms of linear matrix inequalities (LMIs), are obtained. Indeed, the obtained LMIs contain more degree of freedom than those established by the approaches available in the literature which consider a simple Luenberger observer with a simple Lyapunov function for the stability analysis. An extension of the presented result to H∞ performance analysis is given in order to take into account the noise (if it exists) affecting the considered system.
Year
DOI
Venue
2011
10.1016/j.amc.2011.05.081
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear discrete-time systems,Time-delay systems,Observer design,Lyapunov–Krasovskii theory,H∞ synthesis,LMI solution
State observer,Lyapunov function,Lyapunov equation,Mathematical optimization,Nonlinear system,Control theory,Lyapunov redesign,Lipschitz continuity,Discrete time and continuous time,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
218
2
0096-3003
Citations 
PageRank 
References 
11
0.63
12
Authors
2
Name
Order
Citations
PageRank
Ali Zemouche123527.91
Mohamed Boutayeb226626.79