Application of a New Finite-Time Tracking Differentiator in Stable Platform

The accurate extraction of differential signal is very important for servo system. A finite-time tracking differentiator based on hyperbolic tangent function is proposed to accurately extract differential signals from noise polluted signals, and a strict finite-time stability proof is given. In the construction of the differentiator, a terminal attractor function is introduced to improve the ability of suppressing noise. Compared with the traditional asymptotically convergence differentiator, the simulation results show that the proposed finite-time differentiator can realize fast and accurate differentiation and tracking of signals, and has the advantages of simple structure, few parameters to be designed and high tracking accuracy. In order to further reflect the availability of the proposed differentiator, a compound control strategy based on the finite-time tracking differentiator is proposed and applied to the stable platform. The simulation results show that the introduction of the finite-time tracking differentiator can effectively improve the tracking accuracy of the system.