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Adaptive Sliding Control for a Class of Fractional Commensurate Order Chaotic Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper proposes adaptive sliding mode control design for a class of fractional commensurate order chaotic systems.
We firstly introduce a fractional integral sliding manifold for the nominal systems.
Secondly we prove the stability of the corresponding fractional sliding dynamics.
Then, by introducing a Lyapunov candidate function and using the Mittag-Leffler stability theory we derive the desired sliding control law.
Furthermore, we prove that the proposed sliding manifold is also adapted for the fractional systems in the presence of uncertainties and external disturbances.
At last, we design a fractional adaptation law for the perturbed fractional systems.
To verify the viability and efficiency of the proposed fractional controllers, numerical simulations of fractional Lorenz’s system and Chen’s system are presented.
American Psychological Association (APA)
Yuan, Jian& Shi, Bao& Yu, Zhentao. 2015. Adaptive Sliding Control for a Class of Fractional Commensurate Order Chaotic Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1075225
Modern Language Association (MLA)
Yuan, Jian…[et al.]. Adaptive Sliding Control for a Class of Fractional Commensurate Order Chaotic Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1075225
American Medical Association (AMA)
Yuan, Jian& Shi, Bao& Yu, Zhentao. Adaptive Sliding Control for a Class of Fractional Commensurate Order Chaotic Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1075225
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075225