Robust control for uncertain nonlinear system using isomorphism-based robust right coprime factorization

This paper considers the factorization and robust control for uncertain nonlinear system by isomorphism-based robust right coprime factorization method. Firstly, the uncertain nonlinear plant is factorized using isomorphism approach; Then, according to the existence domains, the two stable controllers are designed to guarantee the Bezout identity for both the nominal plant and the perturbed plant to be satisfied, therefore the whole systems is robustly stable which means that the factorization is robust right coprime factorization for the uncertain nonlinear plant. The validity of the proposed method is confirmed by the simulations.