Adaptive Control for Modified Projective Synchronization-Based Approach for Estimating All Parameters of a Class of Uncertain Systems: Case of Modified Colpitts Oscillators. (12th March 2014)

• Record Type: Journal Article
• Authors: Kammogne, Soup Tewa; Fotsin, Hilaire Bertrand
• Other Names: Yamapi René Academic Editor.
• Is Part Of: Journal of chaos. Volume 2014(2014)
• Publication Date: 2014-03-12
• Subjects: Quantum chaos -- Periodicals; Chaotic behavior in systems -- Periodicals; Chaotic behavior in systems; Quantum chaos; Electronic journals; Periodicals; 515.39
• DOI: 10.1155/2014/659647
• Languages: English
• ISSNs: 2356-7228

Abstract

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.