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A novel-designed fuzzy logic control structure for control of distinct chaotic systems
Shih‑Yu Li1; Lap‑Mou Tam2,3; Hsien‑Keng Chen4; Chin‑Sheng Chen5
2020-04-23
Source PublicationInternational Journal of Machine Learning and Cybernetics
ISSN1868-8071
Volume11Issue:10Pages:2391-2406
Abstract

In this paper, a Lyapunov-based fuzzy logic control (FLC) system is developed for controlling of complicated as well as distinct nonlinear systems. According to Lyapunov Stability Theory, a candidate Lyapunov function with simple quadratic form is designed. Via constructing the fuzzy IF–THEN rules through referencing the statuses of errors states and error derivatives in each sub-space of the Lyapunov function derivatives, the proposed structure of FLC system is able to appropriately as well as flexibly adjust the control forces with minimum magnitude compensating the nonlinear systems in real-time. In addition, the designed FLC system can be applied to different kinds of control systems without further information and operation experience. Two nonlinear systems with distinct structures, classical Lorentz system and Mathieu-van der Pol system, are illustrated for simulation examples. In comparison of the previous research work, the simulation results reveal the effectiveness, flexibility and convenient-design of the proposed method.

KeywordFuzzy Logic Control Nonlinear Systems Lyapunov Stability Theory
DOI10.1007/s13042-020-01125-3
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence
WOS IDWOS:000528313700001
PublisherSPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
Scopus ID2-s2.0-85083771369
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorShih‑Yu Li
Affiliation1.Graduate Institute of Manufacturing Technology,National Taipei University of Technology,Taipei,Taiwan
2.Institute for the Development and Quality,Macau,Macao
3.Department of Electromechanical Engineering,Faculty of Science and Technology,University of Macau,Macao
4.Department of Mechanical Engineering,Hsiuping University of Science and Technology,Taichung,Taiwan
5.Graduate Institute of Automation Technology,National Taipei University of Technology,Taipei,Taiwan
Recommended Citation
GB/T 7714
Shih‑Yu Li,Lap‑Mou Tam,Hsien‑Keng Chen,et al. A novel-designed fuzzy logic control structure for control of distinct chaotic systems[J]. International Journal of Machine Learning and Cybernetics,2020,11(10):2391-2406.
APA Shih‑Yu Li,Lap‑Mou Tam,Hsien‑Keng Chen,&Chin‑Sheng Chen.(2020).A novel-designed fuzzy logic control structure for control of distinct chaotic systems.International Journal of Machine Learning and Cybernetics,11(10),2391-2406.
MLA Shih‑Yu Li,et al."A novel-designed fuzzy logic control structure for control of distinct chaotic systems".International Journal of Machine Learning and Cybernetics 11.10(2020):2391-2406.
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