Fuzzy control of original UPOs of unknown discrete chaotic systems

Nairn Mekircha; Abdelkrim Boukabou; Noura Mansouri

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Fuzzy control of original UPOs of unknown discrete chaotic systems

机译：未知离散混沌系统原始UPO的模糊控制

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This paper presents a fuzzy algorithm for controlling original unstable periodic orbits of unknown discrete chaotic systems. In the modeling phase, only input-output data pairs provided from the true system are required. The fuzzy model is developed using Gaussian membership functions and consequent functions where the Levenberg-Marquardt computational algorithm is employed for the model parameters calculation. In the controller design phase, the L_2-stability criterion is used, which forms the basis of the main design principle. Simulation results are given to illustrate the effectiveness and control performance of the proposed method.

机译：本文提出了一种模糊算法，用于控制未知离散混沌系统的原始不稳定周期轨道。在建模阶段，仅需要从真实系统提供的输入-输出数据对。使用高斯隶属函数和后继函数开发模糊模型，其中使用Levenberg-Marquardt计算算法进行模型参数计算。在控制器设计阶段，使用L_2稳定性准则，这构成了主要设计原理的基础。仿真结果表明了该方法的有效性和控制性能。

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来源
《Applied Mathematical Modelling》 |2012年第10期|p.5135-5142|共8页
作者
Nairn Mekircha; Abdelkrim Boukabou; Noura Mansouri;
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作者单位

Department of Electronics, Jijel University, BP98 Ouled Aissa, Jijel 18000, Algeria;

Department of Electronics, Jijel University, BP98 Ouled Aissa, Jijel 18000, Algeria;

Department of Electronics, Constantine University, RT Ain Elbey, Constantine 25000, Algeria;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
chaos; fuzzy modeling; fuzzy control; L_2-stability; unstable periodic orbit;

机译：混沌;模糊建模模糊控制L_2-稳定性;不稳定周期轨道;

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1. FUZZY PREDICTIVE CONTROLLER FOR UNKNOWN DISCRETE CHAOTIC SYSTEMS [J] . ABDELKRIM BOUKABOU, NOURA MANSOURI International journal of bifurcation and chaos in applied sciences and engineering . 2007,第6期

机译：未知离散混沌系统的模糊预测控制器
2. Fuzzy Adaptive Control of Uncertain MIMO Chaotic Systems with Unknown Control Direction [J] . Hua Zhang Complexity . 2021,第a期

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3. Fuzzy adaptive control of fractional order chaotic systems with unknown control gain sign using a fractional order Nussbaum gain [J] . Khatir Khettab, Samir Ladaci, Yassine Bensafia Automatica Sinica, IEEE/CAA Journal of . 2019,第3期

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4. Control of UPOs of Unknown Chaotic Systems via ANN [C] . Amine M. Khelifa, Abdelkrim Boukabou International conference on artificial neural networks . 2014

机译：通过ANN控制未知混沌系统的UPO
5. Adaptive fuzzy modeling and control of chaotic dynamical systems. [D] . Applebaum, Doris Ellen. 1999

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7. Controlling Discrete Time T-S Fuzzy Chaotic Systems via Adaptive Adjustment [O] . Nian Yibei, Zheng Yongai 2012

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8. Optimal Control for Unknown Discrete Time Nonlinear Markov Jump Systems Using Adaptive Dynamic Programming. [R] . He, H., Zhang, H., Wang, Z., 2014

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Fuzzy control of original UPOs of unknown discrete chaotic systems

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