Bifurcation Control of A Class of Nonlinear Non-minimum Phase Systems

Abstract

This paper deals with the problem of stabilization of stationary bifurcation solution of a class of nonlinear systems by dynamic output feedback. Based on the approximate stability theory and the concept of uniform observability, sufficient conditions for bifurcation stabilization are proposed. The design of dynamic compensators is constructive if the sufficient conditions are satisfied. Two examples are proposed to illustrate utility of the results in this paper.