On Global Stabilization of a Class of Nonlinear Systems with High-order Nonlinearities by State Feedback

Abstract

We consider a problem of global stabilization of a class of nonlinear systems. The considered nonlinear systems are in the approximately feedback linearized form and perturbed nonlinear terms contain high-order terms. We propose a control law that has a dynamic controller gain which is effectively tuned to deal with high-order nonlinear terms. Our new method broadens a class of nonlinear systems under consideration over the existing results.