Practical design scheme for nonlinear systems with unknown bounded perturbations using robust right coprime factorization

摘要

In this paper, a nonlinear feedback system with unknown bounded perturbations is considered, and based on robust right coprime factorization a practical design scheme for guaranteeing the system stable is proposed. In contrast with previous methods, the merit of the presenting method in this paper does not require to calculate inverse of a Bezout identity for designing a controller for nonlinear systems. That is, the main idea of this paper is to prove one stabilizing operator to be a unimodular operator, so we can utilize the operator to design a practical scheme for nonlinear systems. An example is involved to illustrate the new design scheme on constructing robust right coprime factorization and then robust stability of nonlinear systems with unknown bounded perturbations is guaranteed.