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A multi power reaching law of sliding mode control design and analysis

A multi power reaching law of sliding mode control design and analysis
A multi power reaching law of sliding mode control design and analysis
A multi power reaching law of sliding mode control is proposed in this paper, which aims at reducing chattering phenomenon, fastening convergence speed and making dynamic process smoothly. The proposed reaching law has three exponential terms to adjust the convergence process, so that the system has a faster convergence speed obviously and no chattering phenomenon. It is indicated through theoretical analysis that the system under the proposed reaching law has existence, accessibility and stability. The convergence speed and interference stability boundary are deduced in detail. Simulation results show that the dynamic process is improved and the chattering is reduced, as compared with the exponential reaching law, single power reaching law and double power reaching law. Further-more, when there exists interference or uncertainty, the system can converge to a neighborhood of the origin quickly.
Convergence speed, Interference stability boundary, Multi power reaching law, Sliding-mode control
0254-4156
466-472
Zhang, Yao
a4f30318-ab42-4b38-a60d-f7199ff3a02a
Ma, Guang Fu
c6a689cd-bd7e-4b86-b297-6d6bbf2a9343
Guo, Yan Ning
8c00e47f-af8f-4897-97ea-06160d66a914
Zeng, Tian Yi
0c259925-4a87-4aaf-b373-215f65c56298
Zhang, Yao
a4f30318-ab42-4b38-a60d-f7199ff3a02a
Ma, Guang Fu
c6a689cd-bd7e-4b86-b297-6d6bbf2a9343
Guo, Yan Ning
8c00e47f-af8f-4897-97ea-06160d66a914
Zeng, Tian Yi
0c259925-4a87-4aaf-b373-215f65c56298

Zhang, Yao, Ma, Guang Fu, Guo, Yan Ning and Zeng, Tian Yi (2016) A multi power reaching law of sliding mode control design and analysis. Zidonghua Xuebao/Acta Automatica Sinica, 42 (3), 466-472. (doi:10.16383/j.aas.2016.c150377).

Record type: Article

Abstract

A multi power reaching law of sliding mode control is proposed in this paper, which aims at reducing chattering phenomenon, fastening convergence speed and making dynamic process smoothly. The proposed reaching law has three exponential terms to adjust the convergence process, so that the system has a faster convergence speed obviously and no chattering phenomenon. It is indicated through theoretical analysis that the system under the proposed reaching law has existence, accessibility and stability. The convergence speed and interference stability boundary are deduced in detail. Simulation results show that the dynamic process is improved and the chattering is reduced, as compared with the exponential reaching law, single power reaching law and double power reaching law. Further-more, when there exists interference or uncertainty, the system can converge to a neighborhood of the origin quickly.

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More information

Published date: 1 March 2016
Additional Information: Funding Information: National Natural Science Foundation of China (61174200, 61403103), China Postdoctoral Science Foundation (2014M550195) Publisher Copyright: Copyright © 2016 Acta Automatica Sinica. All rights reserved.
Keywords: Convergence speed, Interference stability boundary, Multi power reaching law, Sliding-mode control

Identifiers

Local EPrints ID: 472380
URI: http://eprints.soton.ac.uk/id/eprint/472380
ISSN: 0254-4156
PURE UUID: e9b7d98a-d139-44e1-9b4f-cbe764c75b77
ORCID for Yao Zhang: ORCID iD orcid.org/0000-0002-3821-371X

Catalogue record

Date deposited: 02 Dec 2022 17:47
Last modified: 18 Mar 2024 04:07

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Contributors

Author: Yao Zhang ORCID iD
Author: Guang Fu Ma
Author: Yan Ning Guo
Author: Tian Yi Zeng

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