Synchronization control and parameter identification for uncertain chaotic systems with diverse structures

The parameter identificator and synchronization controller were designed to synchronize the uncertain chaotic systems with diverse structures. Taking the single-mode laser Lorenz system and Genesio system as examples, the method was proved effective and feasible. The Lyapunov function was deduced based on Lyapunov stability theory, and the structures of the identificator and the controller were presented. The simulation results show that all the state variables of the Genesio system can be synchronized with those in the uncertain Lorenz system by only one controller, the error signals approach to zero smoothly and quickly, and the synchronization between different chaotic systems is realized. All the parameters of the unknown Lorenz system can be identified.