Design and phase plane analysis of an arctangent-based tracking differentiator
反正切形式跟踪微分器设计及相平面分析

Tracking differentiator(TD)can produce continuous tracking signal and its differential signal from discontinuous and noisy inputs.An arctangent-based TD is presented based on acceleration function analysis,and then its global uniformly asymptotical stability is proved using Lyapunov's direct method.Moreover,phase plane analysis is conducted to show that the origin(0,0)is a stable nodal point or a stable focus point.By these results,we propose the parameter constraint conditions of the arctangent-based TD.Th...