Chaos Synchronization with Parameter Fluctuation Via a Scalar Transmitted Signal

This work deals with the synchronization of chaotic systems with parameter mismatch or fluctuations. A variable structure control approach is firstly proposed to realize and maintain the synchronization. Then by applying its robustness, we modify the switching manifold and implement the synchronization only via a scalar transmitted signal in the case of system's parameter fluctuation or mismatch. Simulation results of our study on Lorenz system show that the synchronization is achieved by using scalar signal even if the parameters fluctuate with time.