Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control
Joint Authors
Yan, Bo
He, Shaobo
Wang, Shaojie
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, a 4D fractional-order centrifugal flywheel governor system is proposed.
Dynamics including the multistability of the system with the variation of system parameters and the derivative order are investigated by Lyapunov exponents (LEs), bifurcation diagram, phase portrait, entropy measure, and basins of attraction, numerically.
It shows that the minimum order for chaos of the fractional-order centrifugal flywheel governor system is q = 0.97, and the system has rich dynamics and produces multiple coexisting attractors.
Moreover, the system is controlled by introducing the adaptive controller which is proved by the Lyapunov stability theory.
Numerical analysis results verify the effectiveness of the proposed method.
American Psychological Association (APA)
Yan, Bo& He, Shaobo& Wang, Shaojie. 2020. Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1144873
Modern Language Association (MLA)
Yan, Bo…[et al.]. Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1144873
American Medical Association (AMA)
Yan, Bo& He, Shaobo& Wang, Shaojie. Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1144873
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144873