Open AccessFinite‐ and fixed‐time differentiators utilising HOSM techniques
Author(s) -
Basin Michael,
Yu Polk,
Shtessel Yuri
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.1256
Subject(s) - differentiator , control theory (sociology) , settling time , observer (physics) , convergence (economics) , matlab , mathematics , noise (video) , computer science , engineering , control engineering , step response , physics , artificial intelligence , filter (signal processing) , control (management) , computer vision , quantum mechanics , economics , image (mathematics) , economic growth , operating system
Finite‐ and fixed‐settling time of real‐time differentiators utilising a higher‐order sliding mode (HOSM) observer based on both non‐recursive and recursive algorithm formulations are studied using constant observer gains. Fixed convergence time estimation is achieved independent of initial conditions of the differentiation errors. The corresponding convergence/settling times are estimated. The HOSM differentiators are compared with the ideal differentiation formulation and MATLAB's differentiator. The analysis incorporates input noise to demonstrate via simulations the improved performance for real‐time noisy input signals.