Compound Adaptive Fuzzy Output Feedback Control for Uncertain Fractional-Order Nonlinear Systems with Fuzzy Dead-Zone Input

In this paper, tracking control of strict feedback fractional-order nonlinear systems with unmeasurable states and fuzzy dead-zone input is studied. A state observer and a series-parallel model are established to construct prediction errors, and then a compound adaption law that uses both instantaneous errors and prediction errors is constructed. The fuzzy dead-zone is defuzzified so that its information can be directly used in the controller design. In addition, compared with the traditional fuzzy control, under the same number of fuzzy rules, the control scheme including compound adaption law can improve the approximation accuracy of the fuzzy logic systems to a great extent while achieving the control objective. Finally, through a numerical simulation, the effectiveness of the proposed scheme is verified.