Fuzzy Predictive Control of Fractional-Order Nonlinear Discrete-Time Systems

At the end of the 19th century Liouville and Riemann introduced the notion of a fractional-order deriva tive, and in the latter half of the 20th century the conc ept of the so-called Grunewald-Letnikov fractional- order discrete difference has been put forward. In the paper a predictive co ntroller for MIMO fractional-order discrete-time sy stems is proposed, and then the concept is extended to nonlinear proce sses that can be modelled by Takagi-Sugeno fuzzy models. At first nonli- near and linear fractional-order discrete-time dyna mical models are described. Then a generalized nonl inear fractional-order TS fuzzy model is defined, for which equations of a predictive controller are derived.

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