Robust control and perturbations rejection for Nonlinear Systems using operator-based right coprime factorization

Abstract

In this paper, robust stability and perturbations rejection of perturbed nonlinear systems with disturbance are considered by using the operator-based right coprime factorization technique. That is, when both perturbation and disturbance exist in nonlinear systems, robust control design scheme is proposed for guaranteeing the uncertain nonlinear systems to work stable based on the proposed condition using bilinear operators. Meanwhile, based on the proposed bilinear operator, the perturbations rejection is discussed by combining the proposed operator controller. The proposed design scheme not only guarantees robust stability for the uncertain nonlinear system, but also realizes removing the adverse effects resulting from the perturbations such that tracking performance is achieved. Finally, a simulation example is given to confirm the effectiveness of the proposed design scheme.