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Discrete-time Adaptive Fractional Nonlinear Control Using Fuzzy Rules Emulating Networks

The research objective of this paper is to propose a robust controller that relies only on input-output data information, in order to enforce robust tracking in a large class of… Click to show full abstract

The research objective of this paper is to propose a robust controller that relies only on input-output data information, in order to enforce robust tracking in a large class of uncertain nonlinear system. The controller is based on an adaptation approach, which is based on a fractional reaching law, while the control cmputation is directly proposed in discrete time, simplifying its digital implementation. The feedback gain is adapted through a fuzzy inference system that emulates a neural network, providing interesting capabilities to compensate for a large sort of uncertainties and un-modeled effects. The uniform ultimate boundedness of the tracking error is analyzed in the Lyapunov framework. Finally, an experimental assessment is studied to highlight the reliability of the proposed scheme.

Keywords: discrete time; time adaptive; control; fractional nonlinear; adaptive fractional

Journal Title: Journal of Computational and Nonlinear Dynamics
Year Published: 2023

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