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On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization

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Science in China(Series F) 2005年第3期48卷 304-321页

作者： LIAO Xiaoxin 1, 2, 3 , FU Yuli 4 & XIE Shengli 4 1. Department of Control Science & Control Engineering, Huazhong University of Science & Technology, Wuhan 430074, China 2. school of automation, Wuhan University of Science & Technology, Wuhan 430070, China 3. school of Information, Central South University of Economy, Politics and Law, Wuhan 430064, China 4. school of Electronics & Information Engineering, South China University of Technology, Guangzhou 510640, China Correspondence should be addressed to Liao Xiaoxin (email: xiaoxin_liao@***) Department of Control Science & Control Engineering Huazhong University of Science & Technology Wuhan China school of automation Wuhan University of Science & Technology Wuhan China school of Information Central South University of Economy Politics and Law Wuhan China school of Electronics & Information Engineering South China University of Technology Guangzhou China

Constructing a family of generalized Lyapunov functions, a new method is proposed to obtain new global attractive set and positive invariant set of the Lorenz chaotic system. The method we proposed greatly simplifies the complex proofs of the two famous estimations presented by the Russian scholar Leonov. Our uniform formula can derive a series of the new estimations. Employing the idea of intersection in set theory, we extract a new Leonov formula-like estimation from the family of the estimations. With our method and the new estimation, one can confirm that there are no equilibrium, periodic solutions, almost periodic motions, wandering motions or other chaotic attractors outside the global attractive set. The Lorenz butterfly-like singular attractors are located in the global attractive set only. This result is applied to the chaos control and chaos synchronization. Some feedback control laws are obtained to guarantee that all the trajectories of the Lorenz systems track a periodic solution, or globally stabilize an unstable (or locally stable but not globally asymptotically stable) equilibrium. Further, some new global exponential chaos synchronization results are presented. Our new method and the new results are expected to be applied in real secure communication systems.

关键词： Lorenz chaotic system global attractive set positive invariant set globally exponential tracking globally exponential synchronization.

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The output amplitude prediction of crystal oscillator

The output amplitude prediction of crystal oscillator

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2011年全国压电和声波理论及器件应用研讨会

作者： Yan WANG~* Xianhe HUANG school of automation,University of Electronic Science and Technology of China,Chengdu 611731

Phase noise within the half-bandwidth of the loop is closely related to the loaded quality factor *** to our research about the 50MHz Pierce oscillator circuit,we can derive that near carrier frequency phase noise imp... 详细信息

关键词： Crystal oscillator Loaded quality factor Phase noise Output amplitude

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A Non-Line-of-Sight Error Mitigation Method in Wireless Location System

A Non-Line-of-Sight Error Mitigation Method in Wireless Loca...

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2009 2nd IEEE International Conference on Computer Science and Information Technology（ICCSIT 2009）

作者： He Yuanhua and Li Hongsheng school of automation Wuhan University of Technology WHUT Wuhan China

A key obstacle to high accuracy location is the None Line of Sight （NLOS） transmission of signal in wireless *** adds positive error to distance *** effective location algorithm based on nonlinear constraint optimization is proposed to mitigate NLOS *** proposed method forms distance error optimization constraint using the geometric relationship between the base stations and mobile *** improves the location accuracy by calibrating the distance measurements and modifying the objective *** results show that this new method can efficiently reduce the effect of the NLOS error,and is robust to different NLOS error.

关键词： wireless location non-line-of-sight constrained optimization

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Robust H∞ Finite-Time Stabilization of Nonlinear Impulsive Switched System With Time-Delays

Robust H∞ Finite-Time Stabilization of Nonlinear Impulsive ...

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第24届中国控制与决策会议

作者： LIU Chao, XIANG Zhengrong school of automation, Nanjing University of Science and Technology, Nanjing 210094

This paper investigates robust H ∞ finite-time stabilization for a class of nonlinear impulsive switched systems with time-delays. Based on the piecewise Lyapunov functions theory and average dwell time approach, we obtain a sufficient condition that guarantees finite-time boundedness of the impulsive switched system with given switching law, and we further propose the design of switched state feedback control and impulsive control, which makes the system to be robust H ∞ finite time stable. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design methods.

关键词： Impulsive switched system Average dwell time Finite-time stability Robust H ∞ control Finite-time control

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基于高斯过程的混沌时间序列单步与多步预测

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物理学报 2011年第7期60卷 143-152页

作者：李军张友鹏兰州交通大学自动化与电气工程学院

针对混沌时间序列单步和多步预测,提出基于复合协方差函数的高斯过程(GP)模型方法.GP模型的确立由协方差函数决定,通过对训练数据集的学习,在证据最大化框架内,利用矩阵运算和优化算法自适应地确定协方差函数和均值函数中的超参数.GP模... 详细信息

针对混沌时间序列单步和多步预测,提出基于复合协方差函数的高斯过程(GP)模型方法.GP模型的确立由协方差函数决定,通过对训练数据集的学习,在证据最大化框架内,利用矩阵运算和优化算法自适应地确定协方差函数和均值函数中的超参数.GP模型与神经网络、模糊模型相比,其可调整参数很少.将不同复合协方差函数的GP模型应用在混沌时间序列单步及多步提前预测中,并与单一协方差函数的GP、支持向量机、最小二乘支持向量机、径向基函数神经网络等方法进行了比较.仿真结果表明,基于不同复合协方差函数的GP方法能精确地预测混沌时间序列,具有稳健的特性.因此,它是研究复杂非线性动力系统辨识和控制的一种有效方法.

关键词：高斯过程混沌时间序列预测模型比较

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A Note on Stability and Stabilization of Discrete-time Systems with Time-varying Delay

A Note on Stability and Stabilization of Discrete-time Syste...

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第三十一届中国控制会议

作者： Jian Sun Jie Chen 1.school of automation Beijing Institute of Technology Beijing 100081

＜正＞This paper is concerned with the stability and stabilization problem of the discrete-time systems with time-varying *** "lifting" technique,a discrete-time system with time-varying delay is transformed into a switched *** the basis of theories of switched systems,some necessary and sufficient stability conditions are obtained. However,these conditions are hard to *** the switched Lyapunov function approach,some equivalent sufficient stability conditions are *** on these conditions,a state feedback controller with varying gains is designed. Numerical examples are given to show the effectiveness of the proposed method.

关键词： Time-delay system Switched system Switched Lyapunov function Linear matrix inequality(LMI)

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Research and Design for Emergency Evacuation Instructions System Based On Wireless Sensor Network

Research and Design for Emergency Evacuation Instructions Sy...

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第24届中国控制与决策会议

作者： Cheng Kaitao, Ge Quanbo, Duan Shenan (school of automation, Hangzhou Dianzi University, HangZhou 310018)

In order to achieve the goal of centralized control and emergency evacuation instruction for the current emergency lights system, also to overcome the disadvantages of the traditional emergency lights system such as uncontrollability, unobservability, and instability, we propose a construction on an emergency evacuation system by using the technology of wireless sensor network in this paper. The system firstly collects the real-time status of the light by sensors, and then the data are transmitted to the control center through the wireless network. After that, it can monitor the state of light and give emergency evacuation through corresponding algorithms. In this way, the emergency lights system become controllable and observable. At the same time, it reduces the installment, management and the maintain cost, while improve the stability of the emergency lights.

关键词： Wireless sensor network emergency light emergency evacuation instruction centralized control data collection

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一种对噪声干扰鲁棒的模糊末制导律设计与仿真

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系统仿真学报 2004年第1期16卷 137-139页

作者：王青毕靖北京航空航天大学自动化科学与电气工程学院北京100083

提出一种对测量噪声干扰鲁棒的模糊末制导律。进行模糊末制导律设计时,在分析导弹和来袭目标运动特性的基础上,根据最优制导律设计专家经验和测量噪声的干扰特性建立模糊规则。数字仿真结果表明所提出的末制导方法与传统比例导引方法比... 详细信息

提出一种对测量噪声干扰鲁棒的模糊末制导律。进行模糊末制导律设计时,在分析导弹和来袭目标运动特性的基础上,根据最优制导律设计专家经验和测量噪声的干扰特性建立模糊规则。数字仿真结果表明所提出的末制导方法与传统比例导引方法比较,在测量噪声干扰和测量数据不精确的情况下,具有弹道更平直、拦截时间更短,对噪声干扰鲁棒的优点。模糊末制导律算法简单可行易于实时实现。

关键词：模糊末制导律最优制导律模糊规则鲁棒性噪声干扰

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维普期刊数据库

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Research on Scheme Evaluation System of Global Design of Tank Fire Control System

Research on Scheme Evaluation System of Global Design of Tan...

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第24届中国控制与决策会议

作者： Zhang Jia, Dou Lihua, Chen Jie school of automation, Beijing Institute of Technology Beijing 100081

Regarding decision support system of global design of tank fire control system, the paper designs the decision evaluation subsystem and establishes the global design index architecture of tank fire control system. It applies grey correlative projection method, TOPSIS method, fuzzy consistent matrix method and satisfaction degree of objectives method to solve the problem of multi-objective optimization in the design process of tank fire control system. In addition, it analyzes the applied condition of the four methods.

关键词： Tank Fire Control System Scheme Evaluation Multi-Objective Decision

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An adaptive hybrid optimizer based on particle swarm and differential evolution for global optimization

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Science China(Information Sciences) 2010年第5期53卷 980-989页

作者： XIN Bin 1,2 ? , CHEN Jie 1,2* , PENG ZhiHong 1,2 & PAN Feng 1,2 1 school of automation, Beijing Institute of Technology, Beijing 100081, China 2 Key Laboratory of Complex System Intelligent Control and Decision, Ministry of Education, Beijing 100081, China school of automation Beijing Institute of Technology Beijing China Key Laboratory of Complex System Intelligent Control and Decision Ministry of Education Beijing China

This paper presents extensive experiments on a hybrid optimization algorithm (DEPSO) we recently developed by combining the advantages of two powerful population-based metaheuristics—differential evolution (DE) and particle swarm optimization (PSO). The hybrid optimizer achieves on-the-fly adaptation of evolution methods for individuals in a statistical learning way. Two primary parameters for the novel algorithm including its learning period and population size are empirically analyzed. The dynamics of the hybrid optimizer is revealed by tracking and analyzing the relative success ratio of PSO versus DE in the optimization of several typical problems. The comparison between the proposed DEPSO and its competitors involved in our previous research is enriched by using multiple rotated functions. Benchmark tests involving scalability test validate that the DEPSO is competent for the global optimization of numerical functions due to its high optimization quality and wide applicability.

关键词： global optimization statistical learning differential evolution particle swarm optimization hybridization adaptation rotated function

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