Optimal H∞ State Estimation for Discrete-Time Delayed Chaotic Systems via a Unified Model

Meiqin Liu; Senlin Zhang; zhen Fan

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Optimal H∞ State Estimation for Discrete-Time Delayed Chaotic Systems via a Unified Model

Meiqin Liu 1 * #,Senlin Zhang 2,zhen Fan 2

1.College of Electrical Engineering, Zhejiang University

2.College of Electrical Engineering, Zhejiang University, Hangzhou 310027

*Correspondence author

#Submitted by

Subject:

Funding: Specialized Research Fund for the Doctoral Program of Higher Education,China （No.No. 20100101110055）, National Natural Science Foundation of China （No.No. 60874050 and No.61071061）

Opened online:24 May 2011

Accepted by: none

Citation: Meiqin Liu,Senlin Zhang,zhen Fan.Optimal H∞ State Estimation for Discrete-Time Delayed Chaotic Systems via a Unified Model[OL]. [24 May 2011] http://en.paper.edu.cn/en_releasepaper/content/4428191

This paper is concerned with the problem of state estimation for a class of discrete-time chaotic systems with time delays. A unified model consisting of a linear dynamic system and a bounded static nonlinear operator is employed to describe these systems, such as chaotic neural networks, Chua's circuits, and Hénon map etc. Based on the H∞ performance analysis of this unified model using the linear matrix inequality (LMI) approach, H∞ state estimator are designed for this model with sensors to guarantee the asymptotic stability of the estimation error dynamic systems and to reduce the influence of noise on the estimation error. The parameters of these estimators are obtained by solving the eigenvalue problem (EVP). As most discrete-time chaotic systems with time delays can be transformed into this unified model, H∞ state estimator design for these systems can be done in a unified way. Two numerical examples are exploited to illustrate the effectiveness of the proposed estimator design schemes.

Keywords:Control theory and control engineering; H∞ filtering; state estimation; discrete-time systems; delayed chaotic systems; neural networks

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