Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions

Joint Authors

Sun, Yeguo
Liu, Yihong
Li, Ling

Source

Journal of Mathematics

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

Mathematics

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