A New Time Optimal Control based Tracking Differentiator with Small Phase Lag

Real-time filtering and derivative signals with as small phase lag as possible are of great significance for control performances. In this work, an enhanced time optimal control (referred as f sa) based tracking differentiator (TD) is proposed, which can guarantee a small phase lag in both filtering and differential signals for a class of input signals with different levels of noises. This characteristic is achieved by introducing a damping coefficient to the boundary transformation function of the time-optimal control algorithm. Simulation results show that the proposed f s a based TD outperforms the fhan based TD in both filtering and differentiation