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.