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用于非线性混沌系统的基于分岔分数阶PID控制器设计方法（英文）

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Frontiers of Information Technology & Electronic Engineering 2018年第2期19卷 180-191页

作者： Karima RABAH Samir LADACI Mohamed LASHAB Signal Processing Laboratory Department of Electronics University of Mentouri Electrical Engineering Department University of 20 Aoùt 1955-Skikda Department of Electronics Electrotechnics and AutomaticsNational Polytechnic School of Constantine Electrical Engineering Department University of 20 Aoùt 1955-Skikda

提出一个新的鲁棒分数阶比例-积分-微分(FOPID)控制器,以其中一个不稳定的固定点来稳定一个扰动非线性混沌系统。基于使用分岔图的比例-积分-微分行为,分析非线性混沌系统的稳定性。提取控制器参数的初始集,其后续可通过二次准则优化。... 详细信息

提出一个新的鲁棒分数阶比例-积分-微分(FOPID)控制器,以其中一个不稳定的固定点来稳定一个扰动非线性混沌系统。基于使用分岔图的比例-积分-微分行为,分析非线性混沌系统的稳定性。提取控制器参数的初始集,其后续可通过二次准则优化。积分和微分分数阶也被二次准则识别。在两个非线性系统(陈氏多涡卷混沌系统和Genesio-Tesi混沌系统)中应用数值模拟,结果表明分数阶比例-积分-微分控制器在稳定非稳定固定点过程中,甚至在随机扰动情况下,能够提供最好的闭环系统性能。

关键词：控制器设计混乱系统非线性分叉 PI 稳定性分析控制器参数不稳定

Parameters identification of chaotic systems based on artificial bee colony algorithm combined with cuckoo search strategy

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Science China(Technological Sciences) 2018年第3期61卷 417-426页

作者： DING ZhengHao LU ZhongRong LIU JiKe Department of Applied Mechanics Sun Yat-sen University

Artificial bee colony(ABC) algorithm is motivated by the intelligent behavior of honey bees when seeking a high quality food source. It has a relatively simple structure but good global optimization ability. In order to balance its global search and local search abilities further, some improvements for the standard ABC algorithm are made in this study. Firstly, the local search mechanism of cuckoo search optimization(CS) is introduced into the onlooker bee phase to enhance its dedicated search; secondly, the scout bee phase is also modified by the chaotic search mechanism. The improved ABC algorithm is used to identify the parameters of chaotic systems, the identified results from the present algorithm are compared with those from other algorithms. Numerical simulations, including Lorenz system and a hyper chaotic system, illustrate the present algorithm is a powerful tool for parameter estimation with high accuracy and low deviations. It is not sensitive to artificial measurement noise even using limited input data.

关键词：混乱系统搜索策略殖民地算法蜜蜂人工参数鉴定杜鹃

Impulsive Homoclinic Chaos in Van der Pol Jerk System

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Transactions of Tianjin University 2010年第6期16卷 457-460页

作者：丁玉梅张琪昌 School of Mechanical Engineering Tianjin University School of Sciences Tianjin University of Science and Technology

A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dynamic properties of the new Van der Pol Jerk system are studied by means of theoretical analysis and numerical simulation. Based on the Silnikov theorem, the chaotic characterisitics of the dynamic system are discussed. Using Cardano formula and series solution of differential equation, eigenvalue problem and the existence of homoclinic orbit are studied. Furthermore, a rigorous proof for the existence of Silnikov-sense Smale horseshoes chaos is presented and some conditions which lead to the chaos are obtained. The formation mechanism indicates that this chaotic system has impulsive homoclinic chaos, and numerical simulation demonstrates that there is a route to chaos.

关键词：混乱系统 homoclinic 轨道 Silnikov 定理

Chaotic system for the detection of periodic signals under the background of strong noise

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Chinese Science Bulletin 2003年第5期48卷 508-510页

作者： LIYue YANGBaojun DepartmentofInformationEngineering JilinUniversityChangchun130012China DepartmentofGeophysics JilinUniversityChangchun130026China

We propose a method to study the chaotic sys-tem for the detection of periodic signals in the presence ofstrong background noise. The numerical experiments indi-cate that the chaotic system constructed from the modified Duffing-Holmes equation is sensitive to the weak periodic signal mixed with noise, and it has certain immunity to noise. The signal to noise ratio for the system can reach to about 91 dB.

关键词：信号检测信号处理混乱系统弱周期信号强背景噪声信噪比

Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2005年第4期6卷 296-304页

作者： ALI M SAHA L.M Department of Mathematics Faculty of Mathematical Science Delhi UniversityDepartment of Mathematics Zakir Husain College Delhi University Delhi 110007 IndiaNew Delhi 110002 India

A chaotic dynamical system is characterized by a positive averaged exponential separation of two neighboring tra- jectories over a chaotic attractor. Knowledge of the Largest Lyapunov Exponent λ1 of a dynamical system over a bounded attractor is necessary and sufficient for determining whether it is chaotic (λ1>0) or not (λ1≤0). We intended in this work to elaborate the connection between Local Lyapunov Exponents and the Largest Lyapunov Exponent where an alternative method to calculate λ1 has emerged. Finally, we investigated some characteristics of the fixed points and periodic orbits embedded within a chaotic attractor which led to the conclusion of the existence of chaotic attractors that may not embed in any fixed point or periodic orbit within it.

关键词：动力系统 Lyapunov指数混乱系统数学理论

THE CHAOTIC DETECTION OF PERIODIC SHORT-IMPULSE SIGNALS UNDER STRONG NOISE BACKGROUND

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Journal of Electronics(China) 2002年第4期19卷 431-433页

作者： Li Yue Yang Baojun (Jilin University, Changchun 130012) Jilin University Changchun 130012

The periodic short-impulse signals under strong noise background are successfully detected with a special chaotic system invented by the authors. Simulation experiments show that the chaotic system is very sensitive to periodic short-impulse signals submerged by strong noise background, and it can effectively restrain any zero-mean noise. The system has a stable working-detection limit of -83dB.

关键词：混乱系统信号检测短周期脉冲噪声

Nonlinear Dynamics for a New Chen-Lee-like Chaotic System

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控制工程期刊（中英文版） 2017年第1期7卷 57-60页

作者： Suhai Huang School of Science Huaihai Institute of Technology Lianyungang 222005 China