Fractional Order PD Control of Friction-Induced Vibrations in a Continuous System

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Tejas Kokane ◽  
Ashesh Saha
Keyword(s):  
Fractional Order ◽  
Continuous System ◽  
Pd Control

Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks

2017 ◽  
Vol 354 (17) ◽  
pp. 7643-7667 ◽  
Author(s):  
Min Xiao ◽  
Wei Xing Zheng ◽  
Jinxing Lin ◽  
Guoping Jiang ◽  
Lindu Zhao ◽  
...  
Keyword(s):  
Fractional Order ◽  
Small World ◽  
Hopf Bifurcations ◽  
Small World Networks ◽  
Pd Control

Improving dynamics of integer-order small-world network models under fractional-order PD control

2019 ◽  
Vol 63 (1) ◽  
Author(s):  
Huaifei Wang ◽  
Min Xiao ◽  
Binbin Tao ◽  
Fengyu Xu ◽  
Zhengxin Wang ◽  
...  
Keyword(s):  
Fractional Order ◽  
Network Models ◽  
Small World ◽  
Small World Network ◽  
Pd Control ◽  
Integer Order

scholarly journals Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 340
Author(s):  
Junxia Wang ◽  
Li Xiao ◽  
Karthikeyan Rajagopal ◽  
Akif Akgul ◽  
Serdar Cicek ◽  
...  
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Analog Circuit ◽  
Continuous System ◽  
Order System ◽  
Chua’S Circuit ◽  
Coexisting Attractors ◽  
Chua's Circuit ◽  
Order Analysis ◽  
Digital Engineering

In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.

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