Anticipating Synchronization of Chaotic Lur'e Systems via Output Feedback and Active Sliding Mode Control Schemes

This paper investigates anticipating synchronization of a general form of chaotic lur'e master-slave systems. Through the analysis of the set-valued nonlinearities, linear matrix inequalities (LMI)-based output feedback is firstly proposed to achieve globally asymptotic prediction of the given system's future states. Then, based on the ideology of active control, sliding mode controllers are adopted to ensure accurate anticipation of Lur'e systems, which are provided with high robustness against possible disturbances. The control techniques are both verified through Lyapunov stability analysis, and illustrated by numerical simulation of Chua's circuit. Simulation results show that active sliding mode control scheme has better performance.