Finite-time increased order chaotic synchronization using an adaptive terminal sliding mode control

This study designs an adaptive terminal sliding mode controller to synchronize two different order chaotic systems with system model uncertainties, external nonlinear disturbances and input nonlinearities. Firstly, the concept of the increased-order chaotic synchronization is described. Then a terminal sliding mode surface is designed, which causes the sliding mode motion of error system to reach the origin along the mode surface in finite time. Furthermore, a controller is constructed to ensure that synchronization error system converge and maintain the proposed surface. Finally, the synchronization simulation example between uncertain Lorenz system and uncertain hyperchaotic Rössler system is given.