Global Regulation of a Class of Nonlinear Systems with High-order Triangular Type Nonlinearity

Abstract

The problem of global regulation is investigated for a class of nonlinear systems which contain some high-order terms. We propose a high-order scaling state-feedback controller with appropriate dynamic gains. Compared to existing results, the condition on the nonlinearity is flexible due to the freedom of choosing the bounding positive function of the nonlinearity. Thus, the nonlinear systems with sortie high-order nonlinearities which do not belong to existing conditions can be globally regulated.