Response Time Estimation of NTSM Controlled Buck Converters via Phase Trajectory

In this paper, a novel estimation approach for the response time of sliding mode controlled buck converters is proposed by analyzing the phase trajectory. Due to its global fininte-time convergence, a non-singular terminal sliding mode (NTSM) controller is designed on the basis of the averaging model of buck converters. In phase plane, the phase trajectories starting from different original states are analyzed and the critical surfaces are proved to exist. The distribution rule of phase trajectories is investigated so that the system convergence to the equilibrium point and response time is determined. Simulations validate the proposed approach.