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Fuzzy fractional-order fast terminal sliding mode control for some chaotic micro-components
HAN Jianxin #,ZHANG Qichang,WANG Wei *,WANG Jing
Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300350
*Correspondence author
#Submitted by
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Funding: National Natural Science Foundation of China （No.Grant no. 11372210, 11102127), Research Fund for the Doctoral Program of Higher Education of China）
Opened online: 3 November 2015
Accepted by: none
Citation: HAN Jianxin,ZHANG Qichang,WANG Wei.Fuzzy fractional-order fast terminal sliding mode control for some chaotic micro-components[OL]. [ 3 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4659189
 
 
In this paper, a novel fractional-order fast terminal sliding mode control method, based on an integer-order scheme, is proposed to stabilize the chaotic motion of two typical micro-components. Fractional Lyapunov stability theorem is applied to analytically guarantee the asymptotic stability of the system with uncertainties and external disturbances. To reduce chattering, a fuzzy logic algorithm is designed to replace the traditional signum function in switching law. Finally, numerical simulations with both the fractional-order and integer-order control laws are carried out, respectively. Results show that the proposed control law is effective in the suppression of chaos.
Keywords:Chaos control; Fast terminal sliding mode; Fractional calculus; Fuzzy algorithm
 
 
 

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