Synchronization of stochastic chaotic systems using active sliding mode control

This paper presents an active sliding mode control scheme for synchronization of two stochastic chaotic systems. Based on Ito’s formula the stability of the error dynamics is checked by using a Lyapunov function and some sufficient conditions are derived for asymptotic stability of the error dynamics. The proposed sliding mode control scheme synchronizes the slave system in a noisy environment with a fast transient response. Reachability of the proposed sliding surface is also proven and it is also shown that the sliding the system trajectories reach the surface in finite time with probability 1. The simulation results on a stochastic Lorenz system demonstrates the validity and feasibility of the given synchronization strategy.

کلیدواژه ها:

synchronization ، stochastic chaotic systems ، active sliding mode control ، noisy environment ، stochastic Lorenz system