CHAOS CONTROL IN BONHOEFFER-VAN DER POL SYSTEM USING FUZZY ESTIMATION

机译：基于模糊估计的BONHOEFFER-VAN DER POL系统的混沌控制

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This paper illustrates the control of chaos using a fuzzy estimating system based on batch training and recursive least square methods for a continuous time dynamic system. The fuzzy estimator system is trained on both Ott-Geobogi-Yorke (OGY) control algorithm and Pyragas's delayed feedback control algorithm. The system, considered for this study, is a Bonhoeffer-van der Pol (BVP) oscillator. It is found that the implemented fuzzy control system constructed on OGY algorithm results in smaller control transient response than that of the OGY control algorithm itself. The transient response of Pyragas fuzzy control does not show a significant improvement in compare to the Pyragas control itself. In general the proposed control techniques show very effective low cost energy behavior in chaos control in compare to conventional nonlinear control methods.

机译：本文阐述了一种基于模糊估计系统的混沌控制方法，该系统基于批量训练和递推最小二乘方法，适用于连续时间动态系统。模糊估计器系统接受Ott-Geobogi-Yorke（OGY）控制算法和Pyragas的延迟反馈控制算法的训练。本研究考虑的系统是Bonhoeffer-van der Pol（BVP）振荡器。结果发现，与OGY控制算法本身相比，基于OGY算法构建的模糊控制系统具有较小的控制瞬态响应。与Pyragas控制本身相比，Pyragas模糊控制的瞬态响应没有显示出明显的改善。一般而言，与常规的非线性控制方法相比，所提出的控制技术在混沌控制中显示出非常有效的低成本能量行为。

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来源
《7th Biennial Conference on Engineering Systems Design and Analysis 2004(ESDA 2004) vol.1: Advanced Energy Systems; Advanced Heat Transfer in Engineering Systems; ...》|2004年|P.885-893|共9页
会议地点 Manchester(GB)
作者
Aria Alasty; Hassan Salarieh;
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作者单位

Center of Excellence in Design, Robotics, and Automation (CEDRA), Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械设计、计算与制图;
关键词
chaos; bonhoeffer van-der pol; fuzzy estimation;

机译：混沌； bonhoeffer van-der pol；模糊估计;

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1. Chaos control of Bonhoeffer-van der Pol oscillator using neural networks [J] . Ramesh M., Narayanan S. Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2001,第13期

机译：基于神经网络的Bonhoeffer-van der Pol振荡器的混沌控制
2. Stochastic Hopf bifurcation and chaos of stochastic Bonhoeffer-van der Pol system via Chebyshev polynomial approximation [J] . Zhang Y, Xu W, Fang T Applied mathematics and computation . 2007,第2期

机译：Chebyshev多项式逼近的随机Bonhoeffer-van der Pol系统的随机Hopf分叉和混沌
3. Chaos control of new Mathieu-van der Pol systems by fuzzy logic constant controllers [J] . Shih-Yu Li Applied Soft Computing . 2011,第8期

机译：基于模糊逻辑常数控制器的新型Mathieu-van der Pol系统的混沌控制
4. CHAOS CONTROL IN BONHOEFFER-VAN DER POL SYSTEM USING FUZZY ESTIMATION [C] . Aria Alasty, Hassan Salarieh, American Society of Mechanical Engineers(ASME) Biennial Conference on Engineering Systems Design and Analysis . 2004

机译：使用模糊估计的Bonhoeffer-van der Pol系统中的混沌控制
5. Stability of coupledvan der Pol oscillators and applications to gait control in simple animals. [D] . Low, Lesley Ann. 2002

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7. Investigation of chaos and memory effects in the Bonhoeffer-van der Pol oscillator with a non-ideal capacitor [O] . Jamieson Brechtl, Xie Xie, Peter K. Liaw 2019

机译：用非理想电容对Bonhoeffer-van der POL振荡器混沌和记忆效应的调查

CHAOS CONTROL IN BONHOEFFER-VAN DER POL SYSTEM USING FUZZY ESTIMATION

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