Generalized Output Regulation for a Class of Nonlinear Systems via the Robust Control Approach

Abstract

Abstract:- We address the problem of generalized output regulation for nonlinear systems in the presence of unknown parameters in the full information case. We generalize the classical output regulation problem in order to expand the class of reference or disturbance signals. Under appropriate suf cient conditions, a state feedback regulator is built for a class of nonlinear systems where the term including the unknown parameter is assumed to satisfy amatching condition. Our study of the above problem, further referred to as the so-called generalized output regulation problem, combines the approach based on the well-known notion of the regulator equation with the classical concept of the invariant distribution and on the Lyapunov theory

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