Practical implementation of chaos communication system based on adaptive stochastic sliding mode observer

In this paper a stochastic adaptive sliding mode observer is developed and practically implemented. The observer is able to estimate the states of an uncertain chaotic system with model and parametric uncertainties. In addition, the effect of noise is considered and then using stochastic calculus and stability in probability concepts the stochastic stability of the states error system is proved. Moreover, it is proved that the states of the proposed observer converge to the drive system states while the adaptation gains of the observer remain nonsingular and bounded. Because of these advantages, observer is used for synchronization in a chaos communication system. The chaos communication system is simulated and then practically implemented by electrical circuits.