Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters
Joint Authors
Lv, Hui
Xu, Song
Liu, Heng
Liu, Aijing
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-31
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper focuses on the robust control of fractional-order economical chaotic system (FOECS) with parametric uncertainties and external disturbances.
The dynamical behavior of FOECS is studied by numerical simulation, and circuit implementations of FOECS are also given.
Based on fractional-order Lyapunov stability theorems, a robust adaptive controller, which can guarantee that all signals remain bounded and the tracking error tends to a small region, is designed.
The proposed method can be used to control a large range of fractional-order systems with system uncertainties.
Fractional-order adaptation laws are constructed to update the estimation of adaptive parameters.
Finally, the robustness and effectiveness of our control method are indicated by simulation results.
American Psychological Association (APA)
Xu, Song& Lv, Hui& Liu, Heng& Liu, Aijing. 2019. Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132725
Modern Language Association (MLA)
Xu, Song…[et al.]. Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1132725
American Medical Association (AMA)
Xu, Song& Lv, Hui& Liu, Heng& Liu, Aijing. Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132725