Design and Analysis of a New Type of Tracking Differentiator

Abstract

In this paper, a new tracking differentiator is proposed based on the inverse hyperbolic tangent function. Due to the complexity of the tracking differentiator and the inaccuracy of tracking accuracy, accurate differential signals cannot be obtained. It is globally asymptotically stable, and its singularities are stable nodes by proper selection of parameters. The inverse hyperbolic tangent acceleration function has strong nonlinear characteristics, simple structure, less parameters and convenient adjustment. The simulation results show that NTTD is not only simple in structure form and relatively less in design parameters, but also has some advantages in tracking precision, response time and filtering ability.