Tracking Differentiator Algorithms: Theories, Implementations and Applications

(Lecture Notes in Electrical Engineering, 717) 1st ed. 2021 Edition

by Hehong Zhang (Author), Gaoxi Xiao (Author), Yunde Xie (Author), Wenzhong Guo (Author), Chao Zhai (Author)

This book highlights designs, implementations and applications of tracking differentiator (TD) algorithms. The real-time differentiation estimation of a given signal is of high importance in control science and engineering. A good differentiator shall have i) robustness against input noises and ii) exactness with a small phase delay. The book has three focuses:
Designing practical, accurate and efficient TD based on discrete-time optimal control (DTOC).
Presenting full convergence analysis on DTOC-TDs.

Implementing the DTOC-TDs in state estimations in power systems and signal processing, as well as feedback control in maglev train.

The proposed TD solution and its successful real-life applications shall stimulate wide interests in different areas including power systems, railway transportations and aerospace industry, etc.