ROBUST ADAPTIVE TERMINAL SLIDING MODE SYNCHRONIZED CONTROL FOR A CLASS OF NON-AUTONOMOUS CHAOTIC SYSTEMS

For a general class of non-autonomous chaotic systems, the purpose of this study is to introduce a robust adaptive terminal sliding mode controller for achieving synchronization between two of the same kind of systems in the presence of system uncertainties and external disturbances. The proposed controller, associated with adaptive feedback gains, can compensate nonlinear dynamics of the synchronous error system without active elimination. Meanwhile, these feedback gains are not to be determined in advance but updated by the adaptive rules without known bounds of system uncertainties and external disturbances. In the sense of the Lyapunov stability theorem, sufficient conditions to guarantee the stable synchronization are given. Numerical case studies are performed to verify the effectiveness of presented scheme.