Chaos control and synchronization of unified chaotic systems via linear control

Chaos control and synchronization in the unified chaotic systems is discussed in this paper. Based on the stability theory of a cascade-connected system, control laws are presented to achieve chaos control and synchronization, respectively. The advantage of the proposed controllers is that they are linear and have lower dimensions than that of the states. Simulation results for Lorenz, Lü and Chen chaotic systems are provided to illustrate the effectiveness of the proposed scheme.