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- Title
Finite- and fixed-time differentiators utilising HOSM techniques.
- Authors
Basin, Michael; Yu, Polk; Shtessel, Yuri
- Abstract
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.
- Subjects
SLIDING mode control; NOISY circuits; TIME perception; RECURSIVE functions; ALGORITHMS
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2017, Vol 11, Issue 8, p1144
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2016.1256