Global Dynamic Surface Control for a Class of Nonlinear System

Abstract The traditional dynamic surface control (DSC) method It can only guarantee the final boundedness of semi-global consistency of the system. Furthermore, the selection of filter time constant has significant influence on the DSC control performance. This paper presents a global dynamic surface control (GDSC) method, which constructs an automatically-updated filter time constant by using a first-order sliding mode differential estimator. Based on the GDSC method, a tracking controller is proposed for a class of nonlinear systems, and it is proved by the Lyapunov theorem that the controller can guarantee the global uniformly ultimately boundedness (GUUB) of the system.