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Adaptive sliding mode control of chaotic dynamical systems with application to synchronization
Affiliation:1. Department of Radiology, Huaxi MR Research Center (HMRRC), Functional and molecular imaging Key Laboratory of Sichuan Province, West China Hospital, Sichuan University, Chengdu 610041, China;2. Department of Radiology, Affiliated Hospital of Zunyi Medical University, Guizhou 563000, China;3. Department of Pediatric Neurology, Affiliated Hospital of Zunyi Medical University, Guizhou 563000, China;1. Unité de Recherche d''Automatique et Informatique Appliquée (LAIA), Department of Electrical Engineering, IUT-FV Bandjoun, University of Dschang, Dschang, Cameroon;2. Unité de Recherche de Matière Condensée, d''Electronique et de Traitement du Signal(LAMACETS), Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon
Abstract:We address the problem of control and synchronization of a class of uncertain chaotic systems. Our approach follows techniques of sliding mode control and adaptive estimation law. The adaptive algorithm is constructed based on the sliding mode control to ensure perfect tracking and synchronization in presence of system uncertainty and external disturbance. Stability of the closed-loop system is proved using Lyapunov stability theory. Our theoretical findings are supported by simulation results.
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