Sensitivity on operator-based nonlinear control design of uncertain system with disturbance

Abstract

In this paper, sensitivity analysis of perturbed nonlinear systems with disturbance is studied based on robust right coprirne factorization. That is, while nonlinear systems exist perturbation and disturbance, robust control design scheme is proposed for guaranteeing the uncertain nonlinear systems to work normally based on proposed bilinear operator. Meanwhile, based on the proposed robust control design scheme, insensitivity property of the given nonlinear system is discussed. In terms of the proposed design scheme, we can not only guarantee robust stability for the uncertain nonlinear system, but also prove insensitivity to the existing perturbation and disturbance. Finally, a simulation example is involved to illustrate the proposed design scheme for confirming effectiveness of the proposed design scheme.