Adaptive finite-time controller for synchronization of non-identical chaotic systems with nonlinear input

In this letter, a simple adaptive nonlinear controller is designed for finite-time synchronization of two non-identical chaotic systems with fully unknown parameters in the presence of uncertainty, external disturbances and input nonlinearity. Dead-zone nonlinearity is taken into account in the control input. Lyapunov-stability theorem is employed to guarantee the finite-time stability of the developed controller. To show the wide application of the proposed scheme, the proposed method is then applied to synchronization of nonidentical single-machine-infinite-bus (SMIB) electrical power systems and numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.