Parameters Identification and Chaos Synchronization Based on Adaptive Observer

Based on observer, an adaptive controller with parameters identification for a class of chaotic systems with unknown parameters is proposed in this paper. The states of chaotic system are successfully estimated by a nonlinear observer with the proposed control and unknown parameters are also to be adapted to their values. Linear matrix inequality (LMI) approach is used to design the observer-based control and the observer gain can be given from LMI feasible solution. Simulation results on Rossler system have verified the efficiency of the proposed scheme.