Disturbance attenuation via double-domination approach for feedforward nonlinear system with unknown output function

Abstract

This paper investigates the problem of disturbance attenuation for a class of feedforward nonlinear systems whose output functions are not precisely known. A new control strategy based on a double-domination approach is proposed to cope with serious coexistence of various uncertainties, including unknown output function and external disturbances. The novelty lies in a distinct perspective to applying two domination gains in the constructions of the observer and the controller in the case when output functions are perturbed by unmeasurable errors, which was previously regarded as a rather difficult problem. A numerical simulation is carried out to illustrate the effectiveness of the proposed scheme.