This thesis makes a research about the Sliding Mode Control of a new chaotic system. Taking advantage of PI switching manifold method, it projects a kind of sliding mode controller and fuzzy the switching function of sliding mode surface with membership function, then finally adopts the output of fuzzy controller. What's more, this method simultaneously makes full use of PI control as well as SMC based on the new area control error, choosing the integral sliding surface equation which makes the

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... system enter into the state of sliding mode from the beginning. Then it turns into the PI control on the basis of new area control error. Making the system output track a given goal until the elimination of tracking error in the main theoretically proves the global stability of this sliding mode controller, and the numerical simulation experiment further shows its simplicity as well as availability, besides, makes sure the steady availability of the whole system.