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Non-asymptotic numerical differentiation: a kernel-based approach.
- Source :
-
International Journal of Control . Sep2018, Vol. 91 Issue 9, p2090-2099. 10p. - Publication Year :
- 2018
-
Abstract
- The derivative estimation problem is addressed in this paper by using Volterra integral operators which allow to obtain the estimates of the time derivatives with fast convergence rate. A deadbeat state observer is used to provide the estimates of the derivatives with a given fixed-time convergence. The estimation bias caused by modelling error is characterised herein as well as the ISS property of the estimation error with respect to the measurement perturbation. A number of numerical examples are carried out to show the effectiveness of the proposed differentiator also including comparisons with some existing methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207179
- Volume :
- 91
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- International Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 131319110
- Full Text :
- https://doi.org/10.1080/00207179.2018.1478130