Robust adaptive control of systems with nonlinear unmodeled dynamics

Abstract

This paper presents a global adaptive nonlinear state-feedback controller with robustness in the face of nonlinear unmodeled dynamics. A novel systematic design scheme is proposed to construct desired robust adaptive controllers in which recent small gain arguments are successfully put together with the well-known backstepping procedure. Our design method can be directly extended to the tracking problem and to handle systems with unknown virtual control coefficients.