Isomorphism-based robust right coprime factorization realization for non-linear feedback systems

Abstract

The realization of the system design problem for a non-linear feedback control system is considered by robust right coprime factorization and isomorphism. First, a feedback system with a series compensator and a feedback compensator is designed to construct a stable isomorphic subspace of the controlled plant’s input space, and then the right factorization of the plant can be realized. Moreover, the right factorization can be guaranteed to be a right coprime factorization by satisfying a Bezout identity. Further, based on asymptotic stability, a quantitative design scheme is proposed to guarantee the robust stability of the non-linear feedback system and the plant output tracking to the reference input. The effectiveness of the proposed design scheme is confirmed by the simulation results.