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

Khatir Khettab; Samir Ladaci; Yassine Bensafia

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

机译：具有分数阶Nussbaum增益的未知增益控制分数阶混沌系统的模糊自适应控制

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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 Griinwald-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.

机译：本文针对一类具有未知控制增益符号的非线性混沌分数阶（SISO）系统，提出了一种改进的模糊自适应控制策略。在线控制算法使用模糊逻辑集来识别分数阶混沌系统。通过引入分数阶Nussbaum增益来解决对控制方向的先验知识的不足。基于Lyapunov稳定性定理，对所提出的控制方法进行了稳定性分析，以将其控制在可接受的同步误差水平上。用分数阶系统的数值逼近。给出一个仿真例子来说明所提出的控制方案的有效性。

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《自动化学报（英文版）》 |2019年第3期|816-823|共8页
作者
Khatir Khettab; Samir Ladaci; Yassine Bensafia;
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作者单位

Electrical Engineering Department, University of Mohamed Boudiaf, M'sila 28000, Algeria;

Electrical Engineering Department, University of Skikda, Skikda 21000, Algeria;

EEA Department, National Polytechnic School of Constantine, B.P.75 A, Ali Mendjli 25000 Constantine, Algeria;

SP-Lab Laboratory, Department of Electronics, Mentouri University, Route de Ain Elbey, Constantine 25000, Algeria;

Electrical Engineering Department, University of Bouira, 10000 Bouira, Algeria;

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正文语种 eng
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Fuzzy Adaptive Control of a Fractional Order Chaotic System With Unknown Control Gain Sign Using a Fractional Order Nussbaum Gain

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