Control of Fractional Stochastic chaos with Fractional Sliding Mode

摘要

In this paper, a Fractional Sliding Mode Control strategy is introduced to realize the control of fractional stochastic chaotic system. Besides modeling stochastic chaos by an Ito stochastic differential form, fractional-order of this chaos system is studied. Based on the Lyapunov stability theory, the stability of the closed-loop system is guaranteed. The Chaos control is also obtained between two fractional-order stochastic and deterministic systems in two cases: 1) A control task; to behave period doubling form, 2) Synchronization job; both in different order. This is the first research to apply the proposed sliding mode controller to control of this type system. The simulation results and the lyapunov exponents demonstrate the feasibility of the proposed control method.