Robust control for nonlinear systems with unknown perturbations using simplified robust right coprime factorisation

Abstract

This article is concerned with operator-based robust control for nonlinear feedback system with unknown perturbations with simplified robust right coprime factorisation method. By the designed simplified robust controllers, the Bezout identity for the nominal nonlinear system and the perturbed nonlinear system are guaranteed to be simply satisfied, which means that not only the nonlinear system with nominal plant but also that with perturbed plant can be stabilised. Moreover, the plant output can be guaranteed to asymptotically track the reference output. The effectiveness of the proposed design scheme is verified by the simulation results.

Keywords:

• robust control
• robust right coprime factorisation
• unknown perturbations
• nonlinear systems
• asymptotic tracking