Table of Contents
Journal of Chaos
Volume 2014 (2014), Article ID 659647, 13 pages
http://dx.doi.org/10.1155/2014/659647
Research Article

Adaptive Control for Modified Projective Synchronization-Based Approach for Estimating All Parameters of a Class of Uncertain Systems: Case of Modified Colpitts Oscillators

Laboratory of Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, BP 67, Dschang, Cameroon

Received 14 October 2013; Revised 6 January 2014; Accepted 6 January 2014; Published 12 March 2014

Academic Editor: René Yamapi

Copyright © 2014 Soup Tewa Kammogne and Hilaire Bertrand Fotsin. 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

A method of estimation of all parameters of a class of nonlinear uncertain dynamical systems is considered, based on the modified projective synchronization (MPS). The case of modified Colpitts oscillators is investigated. Through a suitable transformation of the dynamical system, sufficient conditions for achieving synchronization are derived based on Lyapunov stability theory. Global stability and asymptotic robust synchronization of the considered system are investigated. The proposed approach offers a systematic design procedure for robust adaptive synchronization of a large class of chaotic systems. The combined effect of both an additive white Gaussian noise (AWGN) and an artificial perturbation is numerically investigated. Results of numerical simulations confirm the effectiveness of the proposed control strategy.