Abstract

Abstract This paper deals with output regulation of nonlinear systems driven by exogenous signals whose dynamics are not exactly known. Output regulation with high order approximation is formulated and the solvability is characterized by the existence of certain invariant manifolds. Under the proposed control, the closed-loop system exhibits ultimate boundedness properties with respect to high order time-derivatives of the exogenous signals. Besides the high order approximation, another advantage of the proposed control design is that the measurement of derivatives of the exogenous signals is not essential for control design.

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