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Adaptive Prescribed Performance Output Regulation of Nonlinear Systems with Nonlinear Exosystems

Fujin Jia*, Cui Lei, Junwei Lu, and Yuming Chu
International Journal of Control, Automation, and Systems, vol. 18, no. 8, pp.1946-1955, 2020

Abstract : The paper studies the prescribed performance output regulation problem for a class of nonlinear uncertain strict-feedback systems which are driven by nonlinear exosystems. Fuzzy logic systems (FLSs) are used to approximate the unknown functions. A fuzzy adaptive observer is designed to estimate the system state. A fuzzy internal model is designed to reject disturbance. Simultaneously, a parameter-type Lyapunov function and L function are designed to ensure the prescribed performance of the system. As illustrated by example, the proposed prescribed performance fuzzy adaptive output feedback control scheme is shown to guarantee semi-globally uniformly ultimately bounded, and the dynamic performance and steady-state performance of the tracking error are dependent on the prescribed performance functions.

Keyword : Fuzzy adaptive control, internal model, output regulation, prescribed performance.

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