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A finite-time adaptive order estimation approach for non-integer order nonlinear systems.
- Source :
-
ISA transactions [ISA Trans] 2022 Aug; Vol. 127, pp. 383-394. Date of Electronic Publication: 2021 Aug 30. - Publication Year :
- 2022
-
Abstract
- This paper proposes some methods for estimating the order of nonlinear systems having non-integer order. First, the stability of time-varying order systems is studied. Afterward, the multivariable systems with time-varying incommensurate order are studied and an estimation scheme is proposed to approximate the order. In the next step, considering the pseudo-states of a system to be unknown, an order/pseudo-state estimator is designed for a category of nonlinear systems. It is shown that the method is extendible to form order/pseudo-state estimators for other classes of nonlinear systems using other traditional nonlinear observers. One of the advantages of the proposed methods is that a compact time interval is enough to guarantee bounded estimation error.<br />Competing Interests: Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.<br /> (Copyright © 2021 ISA. Published by Elsevier Ltd. All rights reserved.)
Details
- Language :
- English
- ISSN :
- 1879-2022
- Volume :
- 127
- Database :
- MEDLINE
- Journal :
- ISA transactions
- Publication Type :
- Academic Journal
- Accession number :
- 34507816
- Full Text :
- https://doi.org/10.1016/j.isatra.2021.08.034