Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the problem of fuzzy adaptive control of unknown nonlinear fractional-order systems with external disturbances and unknown control directions is studied.
We exploit a decomposition of the control gain matrix into a symmetric positive-definite matrix, a diagonal matrix with diagonal entries +1 or 1, and a unity upper triangular matrix.
Fuzzy logic systems are used for estimating the unknown nonlinear functions.
Based on the fractional Lyapunov direct method and some proposed lemmas, a novel fuzzy adaptive controller is designed.
The proposed method can guarantee that all the signals in the closed-loop systems remain bounded and the tracking errors converge to an arbitrary small region of the origin.
In addition, for updating the parameters of the fuzzy system, fractional-order adaptations laws are proposed.
Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.
American Psychological Association (APA)
Sun, Yeguo& Liu, Yihong& Li, Ling. 2020. Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188134
Modern Language Association (MLA)
Sun, Yeguo…[et al.]. Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188134
American Medical Association (AMA)
Sun, Yeguo& Liu, Yihong& Li, Ling. Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188134
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188134