Robust right coprime factorization for nonlinear plants based on isomorphism approach

The paper is concerned with the robust stability for a nonlinear feedback system with perturbations using robust right coprime factorization method combining with isomorphism approach. The factorization of an unstable plant is realized using the isomorphism approach, and the Bezout identity can be satisfied with the obtained factors and designed operators. As a result, the whole system is overall stable. Further, the application of the isomorphism factorization method can be extended into the control of nonlinear plant with perturbations. The effectiveness of the proposed method is illustrated by the simulations.