Fuzzy adaptive control of fractional order chaotic systems with unknown control gain sign using a fractional order Nussbaum gain

2019 ◽  
Vol 6 (3) ◽  
pp. 816-823 ◽  
Author(s):  
Khatir Khettab ◽  
Samir Ladaci ◽  
Yassine Bensafia
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Fuzzy Adaptive Control ◽  
Control Gain ◽  
Unknown Control ◽  
Fuzzy Adaptive

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

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yeguo Sun ◽  
Yihong Liu ◽  
Ling Li
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Direct Method ◽  
Triangular Matrix ◽  
Fuzzy Logic Systems ◽  
External Disturbances ◽  
Fuzzy Adaptive Control ◽  
Unknown Control Directions ◽  
Unknown Control ◽  
Fuzzy Adaptive

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.

Fuzzy adaptive control technique for a new fractional-order supply chain system

2021 ◽  
Vol 96 (12) ◽  
pp. 124017
Author(s):  
Ziyi Liu ◽  
Hadi Jahanshahi ◽  
J F Gómez-Aguilar ◽  
G Fernandez-Anaya ◽  
J Torres-Jiménez ◽  
...  
Keyword(s):  
Supply Chain ◽  
Adaptive Control ◽  
Fractional Order ◽  
Control Technique ◽  
Supply Chain System ◽  
Fuzzy Adaptive Control ◽  
Chain System ◽  
Fuzzy Adaptive
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