Abstract
This paper considers the design problem of fuzzy sliding mode controller for fractional-order (FO) unified chaotic systems. Firstly, in terms of the T-S fuzzy modeling theory, we model the FO unified chaotic systems into T-S fuzzy systems; then with the application of sliding mode control theory, fuzzy sliding mode controller design method is discussed in this paper. The fuzzy sliding mode controller designed here guarantees the stability of the FO unified chaotic systems. Three numerical simulation examples are given to illustrate the effectiveness of the design approach.
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