Perturbed nonlinear systems control using extended robust right coprime factorization

Abstract

In this paper, extended operator-based robust right coprime factorization is investigated for dealing with a class of nonlinear systems with unknown bounded perturbations. Firstly, a kind of operators is introduced, by which operator-based right coprime factorization approach is extended to consider the perturbed nonlinear systems. By regulating the exponent of the proposed operator, a broader class of nonlinear systems can be handled using the extended right coprime factorization approach. Secondly, for guaranteeing robust stability of the perturbed nonlinear systems, feasible design schemes based on some sufficient conditions are discussed, which can reduce complicated calculation in control processing using a different unimodular operator. Finally, a simulation example is involved to illustrate the proposed design scheme for confirming effectiveness of the proposed method.