Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 696017, 9 pages
http://dx.doi.org/10.1155/2011/696017
Research Article

Parameter Estimation of a Class One-Dimensional Discrete Chaotic System

Lidong Liu, Jinfeng Hu, Huiyong Li, Jun Li, Zishu He, and Chunlin Han

School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Received 6 March 2011; Revised 1 June 2011; Accepted 20 June 2011

Academic Editor: Antonia Vecchio

Copyright © 2011 Lidong Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM.