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Robust H∞ Consensus Control for High-order Discrete-time Multi-agent Systems With Parameter Uncertainties and External Disturbances

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自动化学报 2017年第10期43卷 1850-1857页

作者： Jun Xu Guoliang Zhang Jing Zeng Boyang Du Xiao Jia Department of Control Science and Engineering Rocket ForceUniversity of Engineering Xi'an 710025 China

The robust H∞ consensus control problem of highorder discrete-time multi-agent systems with parameter uncertainties and external disturbances is studied, and a linear distributed consensus protocol is designed in this paper. Firstly, the robust H_∞ consensus control problem of high-order discrete-time multi-agent systems with parameter uncertainties and external disturbances is transformed to a robust H_∞ control problem of a set of independent uncertain systems. Secondly, a sufficient linear matrix inequality（LMI） condition is derived to insure that high-order discrete-time multi-agent systems with parameter uncertainties and external disturbances achieve robust consensus with a H_∞ performance level γ. Thirdly, convergence results are given as final consensus values of high-order discrete-time linear multi-agent systems with parameter uncertainties and without external disturbances. Finally, a contrast numerical experiment with and without parameter uncertainties is provided to demonstrate the correctness and effectiveness of the theoretical results.

关键词：参数不确定性多智能体系统离散时间一致性控制高阶外部扰动鲁棒线性矩阵不等式

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自动驾驶无需高阶道德算法

自然辩证法通讯 2023年第6期45卷 10-17页

作者：李大山上海大学马克思主义学院上海200444

引入伦理学中的道德两难思想实验后,自动驾驶应植入何种道德算法引起了不少讨论。区分一阶道德算法与高阶道德算法将发现这些讨论建立在一个有待澄清的前提上。植入道德算法的目的是令自动驾驶成为驾驶专家,因而识别交通法规等一阶道德... 详细信息

引入伦理学中的道德两难思想实验后,自动驾驶应植入何种道德算法引起了不少讨论。区分一阶道德算法与高阶道德算法将发现这些讨论建立在一个有待澄清的前提上。植入道德算法的目的是令自动驾驶成为驾驶专家,因而识别交通法规等一阶道德算法是必要的,关乎安全、效率与舒适;但功利主义等高阶道德算法会反噬驾驶专家,既不必要也不可行,况且“自动驾驶两难”在哲学上的思想深度没有超出“电车两难”。

关键词：自动驾驶道德两难道德算法高阶驾驶专家

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高阶参数优化迭代学习控制算法

控制理论与应用 2015年第4期32卷 561-567页

作者：逄勃邵诚大连理工大学先进控制技术研究所辽宁大连116023

针对线性时不变离散系统的跟踪问题提出一种高阶参数优化迭代学习控制算法.该算法通过建立考虑了多次迭代误差影响的参数优化目标函数,求解得出优化后的时变学习增益参数.从理论上证明了:对于线性离散时不变系统,该算法在被控对象不满... 详细信息

针对线性时不变离散系统的跟踪问题提出一种高阶参数优化迭代学习控制算法.该算法通过建立考虑了多次迭代误差影响的参数优化目标函数,求解得出优化后的时变学习增益参数.从理论上证明了:对于线性离散时不变系统,该算法在被控对象不满足正定性的松弛条件下仍可保证跟踪误差单调收敛于零.同时,采用之前多次迭代信息的高阶算法具有更好的收敛性和鲁棒性.最后利用一个仿真实例验证了算法的有效性.

关键词：迭代学习控制参数优化单调性离散系统线性系统高阶

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高阶多元直觉模糊时间序列预测模型

东南大学学报（自然科学版） 2016年第3期46卷 505-512页

作者：王亚男雷英杰雷阳范晓诗空军工程大学防空反导学院西安710051 武警工程大学电子技术系西安710086

为了突破模糊集理论的限制,更客观地描述不确定性数据,提出一种高阶多元直觉模糊时间序列预测模型.采用模糊聚类算法划分论域,并采用更具客观性的方法建立直觉模糊集的隶属度和非隶属度函数.依据直觉模糊多维取式推理的原理建立基于相... 详细信息

为了突破模糊集理论的限制,更客观地描述不确定性数据,提出一种高阶多元直觉模糊时间序列预测模型.采用模糊聚类算法划分论域,并采用更具客观性的方法建立直觉模糊集的隶属度和非隶属度函数.依据直觉模糊多维取式推理的原理建立基于相似度量的启发式推理规则,作为高阶多元模型的预测规则,并且建立相应的解模糊方法.利用北京市日均气温数据集进行对比实验,结果表明,该模型的预测均方误差(0.86)和平均预测误差(2.57%)较现有方法均明显降低,预测结果优于模糊时间序列预测模型和普通直觉模糊时间序列预测模型.

关键词：高阶多元直觉模糊时间序列直觉模糊多维取式推理

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高阶直觉模糊时间序列预测模型

通信学报 2016年第5期37卷 115-124页

作者：王亚男雷英杰雷阳范晓诗空军工程大学防空反导学院陕西西安710051 武警工程大学电子技术系密码与信息安全武警部队重点实验室陕西西安710086

提出一种高阶直觉模糊时间序列预测模型。模型首先应用模糊聚类算法实现论域的非等分划分;然后,针对直觉模糊时间序列的数据特性,提出一种更具客观性的直觉模糊集隶属度和非隶属度函数的确定方法;最后,利用直觉模糊多维取式推理建立高... 详细信息

提出一种高阶直觉模糊时间序列预测模型。模型首先应用模糊聚类算法实现论域的非等分划分;然后,针对直觉模糊时间序列的数据特性,提出一种更具客观性的直觉模糊集隶属度和非隶属度函数的确定方法;最后,利用直觉模糊多维取式推理建立高阶模型的预测规则,进行预测。在Alabama大学入学人数和北京市日均气温2组数据集上分别与典型方法进行对比实验,结果表明该模型有效提高了预测精度,证明了模型的有效性和优越性。

关键词：高阶直觉模糊时间序列预测模型直觉模糊推理

Higher-Order Interactions： Understanding the knowledge capacity of social groups using simplicial sets

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Current Zoology 2015年第1期61卷 114-127页

作者： Bradford R GREENING Jr Noa PINTER-WOLLMAN Nina H FEFFERMAN Department of Ecology Evolution and Natural Resources Rutgers University New Brunswick NJ 08901 USA BioCircuits Institute University of Califomia at San Diego 9500 Gilman Dr. Mail Code 0328 La Jolla CA 92093 USA DIMACS Rutgers University 96 Frelinghuysen Road Piscataway NJ 08854 USA

A predominant benefit of social living is the ability to share knowledge that cannot be gained through the information an individual accumulates based on its personal experience alone. Traditional computational models have portrayed sharing knowledge through interactions among members of social groups via dyadic networks. Such models aim at understanding the percolation of information among individuals and groups to identify potential limitations to successful knowledge transfer. How- ever, because many real-world interactions are not solely pairwise, i.e., several group members may obtain information from one another simultaneously, it is necessary to understand more than dyadic communication and learning processes to capture their full complexity. We detail a modeling framework based on the simplicial set, a concept from algebraic topology, which allows elegant encapsulation of multi-agent interactions. Such a model system allows us to analyze how individual information within groups accumulates as the group's collective set of knowledge, which may be different than the simple union of individually contained information. Furthermore, the simplicial modeling approach we propose allows us to investigate how information accumulates via sub-group interactions, offering insight into complex aspects of multi-way communication systems. The fundamental change in modeling strategy we offer here allows us to move from portraying knowledge as a "token", passed from signaler to receiver, to portraying knowledge as a set of accumulating building blocks from which novel ideas can emerge. We provide an explanation of relevant mathematical concepts in a way that promotes accessibility to a general audience [Current Zoology 61 (1):114-127, 2015].

关键词：知识转移相互作用社会群体能力高阶通信系统个人经验社会生活

RATIONAL GENERAL SOLUTIONS OF HIGHER ORDER ALGEBRAIC ODES

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Journal of Systems Science & Complexity 2013年第2期26卷 261-280页

作者： HUANG Yanli NG L X Chu WINKLER Franz School of Computer Science and Software Engineering Tianjin Polytechnic University Research Institute for Symbolic Computation(RISC) Johannes Kepler University Department of Mathematics Quy Nhon University

This paper generalizes the method of Ngo and Winkler(2010,2011)for finding rational general solutions of a first order non-autonomous algebraic ordinary differential equation(AODE)to the case of a higher order AODE,provided a proper parametrization of its solution hypersurface.The authors reduce the problem of finding the rational general solution of a higher order AODE to finding the rational general solution of an associated system.The rational general solutions of the original AODE and its associated system are in computable 1-1 correspondence.The authors give necessary and sufficient conditions for the associated system to have a rational solution based on proper reparametrization of invariant algebraic space curves.The authors also relate invariant space curves to first integrals and characterize rationally solvable systems by rational first integrals.

关键词：微分方程解代数高阶一般解空间曲线重新参数化充分条件首次积分

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逻辑函数高阶布尔c-偏导数求解的算法实现

计算机辅助设计与图形学学报 2017年第8期29卷 1557-1562页

作者：瞿婷王伦耀夏银水储飞宁波大学信息科学与工程学院宁波315211

针对已有方法在求解布尔c-偏导数时只能解决小规模电路的问题,提出一种基于变量操作运算的大函数高阶布尔c-偏导数求解算法.首先将高阶布尔c-偏导数求解运算转化为逻辑函数的展开运算;然后根据乘积项是否包含需要展开的变量将函数分解... 详细信息

针对已有方法在求解布尔c-偏导数时只能解决小规模电路的问题,提出一种基于变量操作运算的大函数高阶布尔c-偏导数求解算法.首先将高阶布尔c-偏导数求解运算转化为逻辑函数的展开运算;然后根据乘积项是否包含需要展开的变量将函数分解成需要展开和不需要展开的二部分,进一步提高算法的速度.文中算法用C语言编程实现,并用MCNC测试电路进行了测试,结果表明,该算法能快速实现大函数高阶c-偏导数的求解;其效率与函数拆分的结果有关,但对输入变量的数量不敏感.

关键词：布尔c-导数布尔c-偏导数高阶位运算

High-Order Dispersion Coefficients for Alkali-metal Atoms

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Communications in Theoretical Physics 2013年第7期60卷 73-79页

作者： KANG Shuai DING Chi-Kun CHEN Chang-Yong WU Xue-Qing School of Physics and Mechanical & Electrical Engineering Zunyi Normal College Zunyi 563002 China Department of Physics and Information Engineering Hunan Institute of Humanities Science and Technology Loudi 417000 China School of Physics and Electronics Science Guizhou Normal University Guiyang 550001 China

High-order dispersion coefficients C9 , C11 , C12 , and C13 for the ground-state alkali-metals were calculated by combining the l-dependent model potential of alkali-metal atoms and linear variation method based on B-... 详细信息

关键词：碱金属原子色散系数高阶 B样条基函数线性变化模型势 C12 基态