Adaptive sliding mode control of chaotic dynamical systems with application to synchronization
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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
sliding mode control synchronization uncertain chaotic system adaptive control chattering phenomenon