KFU. Card publication. Function Approximation Technique Based Immersion and Invariance Control for Unknown Nonlinear Systems

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FEDERAL UNIVERSITY

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FUNCTION APPROXIMATION TECHNIQUE BASED IMMERSION AND INVARIANCE CONTROL FOR UNKNOWN NONLINEAR SYSTEMS

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Magid Evgeniy Arkadevich, author

Bibliographic description in the original language

Bai Y. Function Approximation Technique Based Immersion and Invariance Control for Unknown Nonlinear Systems / Wang Y., Svinin M., Magid E., Sun R. // IEEE Control Systems Letters. - 2020. - Vol 4(4). - p. 934-939.

Annotation

A function approximation technique based immersion and invariance (FATII) control method is proposed in this letter. Firstly, an unknown control system is restructured as the combination of an auxiliary system and a variation term from the original system. The variation term is treated as a time-varying uncertainty and parameterized by a group of weighted chosen basis functions. These weights are estimated at every time instant and the change of the estimates is governed by an update law. The update law is defined based on an immersion and invariance approach such that both the system state and the estimation error converge to zero. The FATII method is model-free and thus applicable to a wide range of systems. The asymptotic stability of the proposed method is established and its feasibility is verified under simulations.

Keywords

Robust adaptive control, uncertain systems

The name of the journal

IEEE Control Systems Letters

URL

https://ieeexplore.ieee.org/document/9099860

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=257434&p_lang=2

Resource files

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Function_Approximation_Technique_Based_Immersion_and_Invariance_Control_for_Unknown_Nonlinear_Systems.pdf	0,63	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Magid Evgeniy Arkadevich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Bai Y. Function Approximation Technique Based Immersion and Invariance Control for Unknown Nonlinear Systems / Wang Y., Svinin M., Magid E., Sun R. // IEEE Control Systems Letters. - 2020. - Vol 4(4). - p. 934-939.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=257434&p_lang=2	ru_RU
dc.description.abstract	IEEE Control Systems Letters	ru_RU
dc.description.abstract	A function approximation technique based immersion and invariance (FATII) control method is proposed in this letter. Firstly, an unknown control system is restructured as the combination of an auxiliary system and a variation term from the original system. The variation term is treated as a time-varying uncertainty and parameterized by a group of weighted chosen basis functions. These weights are estimated at every time instant and the change of the estimates is governed by an update law. The update law is defined based on an immersion and invariance approach such that both the system state and the estimation error converge to zero. The FATII method is model-free and thus applicable to a wide range of systems. The asymptotic stability of the proposed method is established and its feasibility is verified under simulations.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Robust adaptive control	ru_RU
dc.subject	uncertain systems	ru_RU
dc.title	Function Approximation Technique Based Immersion and Invariance Control for Unknown Nonlinear Systems	ru_RU
dc.type	Articles in international journals and collections	ru_RU