Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain

作     者：Khatir Khettab Samir Ladaci Yassine Bensafia 

作者机构：IEEE the Electrical Engineering Department University of Mohamed Boudiaf M’sila 28000 Algeria Electrical Engineering Department University of Skikda the EEA Department National Polytechnic School of Constantine B. P. 75 A Ali Mendjli 25000 Constantine Algeria SP-Lab Laboratory Department of Electronics Mentouri University Yassine Bensafia is with the Electrical Engineering Department University of Bouira 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2019年第6卷第3期

页      面：816-823页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：supported by the Algerian Ministry of Higher Education and Scientific Research(MESRS)for CNEPRU Research Project(A01L08UN210120110001) 

主　　题：Adaptive fuzzy control chaos synchronization fractional order Nussbaum function Lyapunov stability nonlinear fractional order systems 

摘      要：In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order(SISO) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets for the identification of the fractional order chaotic system, whereas the lack of a priori knowledge on the control directions is solved by introducing a fractional order Nussbaum gain. Based on Lyapunov stability theorem, stability analysis is performed for the proposed control method for an acceptable synchronization error level. In this work, the Gr ¨unwald-Letnikov method is used for numerical approximation of the fractional order systems. A simulation example is given to illustrate the effectiveness of the proposed control scheme.