基于循环子空间理论的线性系统测试矩阵优化

研究了线性定常系统在循环指数大于1(即其约当标准形不同的约当块有重根)的情况下测试矩阵的优化方法.以循环子空间相关定理的证明为基础,根据根向量链的相关特性,得到了测试向量的线性和与系统观测性的直接关系,给出了在保证系统可观测性的同时,使得测试代价最小的测试矩阵优化方法.算例表明,提出的方法简单直观,对配置测试向量具有良好的工程价值.     

机动目标一维距离像RAT法线性化补偿

研究了机动目标宽带线性调频脉冲回波全去斜率信号模型,根据速度和加速度的调频频谱展宽特点,提出了机动目标宽带一维距离像线性化调频回波模型,给出了Radon模糊图转换(RAT)法线性参数估计与运动补偿方法,并进一步分析了测速和测距误差.仿真实验验证了RAT法一维距离像线性化参数估计与补偿,表明该方法很好地解决了运动参数未知情况下机动目标的一维距离像频谱展宽问题.     

Adjacency‐based local top‐down search method for finding maximal efficient faces in multiple objective linear programming

It is well‐known that the efficient set of a multiobjective linear programming (MOLP) problem can be represented as a union of the maximal efficient faces of the feasible region. In this paper, we propose a method for finding all maximal efficient faces for an MOLP. The new method is based on a condition that all efficient vertices (short for the efficient extreme points and rays) for the MOLP have been found and it relies on the adjacency, affine independence and convexity results of efficient sets. The method uses a local top‐down search strategy to determine maximal efficient faces incident to every efficient vertex for finding maximal efficient faces of an MOLP problem. To our knowledge, the proposed method is the first top‐down search method that uses the adjacency property of the efficient set to find all maximal efficient faces. We discuss this and other advantages and disadvantages of the algorithm. We also discuss some computational experience we have had with our computer code for implementing the algorithm. This computational experience involved solving several MOLP problems with the code.     

永磁无刷直流电机驱动器并联系统环流的抑制

驱动器并联方式能有效扩大驱动容量,但该方式容易引入环流。为了抑制环流,分析了两个独立电源供电的两台驱动器并联结构系统,阐述了环流的特性,并提出了基于环流反馈的控制结构。这种控制结构通过环流的反馈,只需要控制调整其中一台驱动器,就可减小两台驱动器输出电压的差异,实现环流抑制。仿真结果表明:这种控制结构降低了控制的复杂性,能够抑制环流,实现独立电源供电的无刷直流电机驱动器并联。     

光顺样条函数的再生核表示与计算

光顺样条是散乱数据拟合的理想函数,是噪声数据最优平滑的重要工具。因此,光顺样条的数学表示和计算的研究具有重要的意义。本文在一般的线性微分算子和线性泛函的情况下讨论光顺样条函数的构造和计算,通过构造一个适当的再生核Hilbert空间,使得所讨论的微分算子光顺样条成为该空间中的最小范数问题,再利用投影理论建立了光顺样条函数的再生核表示方法,并得到了插值偏差表达式。作为特例,还给出了奇次多项式光顺样条函数新的简洁的计算方法。     

Analytic solution for the nucleolus of a three‐player cooperative game

The nucleolus solution for cooperative games in characteristic function form is usually computed numerically by solving a sequence of linear programing (LP) problems, or by solving a single, but very large‐scale, LP problem. This article proposes an algebraic method to compute the nucleolus solution analytically (i.e., in closed‐form) for a three‐player cooperative game in characteristic function form. We first consider cooperative games with empty core and derive a formula to compute the nucleolus solution. Next, we examine cooperative games with nonempty core and calculate the nucleolus solution analytically for five possible cases arising from the relationship among the value functions of different coalitions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

A search game taking account of attributes of searching resources

This article deals with a two‐person zero‐sum game called a search allocation game (SAG), in which a searcher and a target participate as players. The searcher distributes his searching resources in a search space to detect the target. The effect of resources lasts a certain period of time and extends to some areas at a distance from the resources' dropped points. On the other hand, the target moves around in the search space to evade the searcher. In the history of search games, there has been little research covering the durability and reachability of searching resources. This article proposes two linear programming formulations to solve the SAG with durable and reachable resources, and at the same time provide an optimal strategy of distributing searching resources for the searcher and an optimal moving strategy for the target. Using examples, we will analyze the influences of two attributes of resources on optimal strategies. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 2008     

一类线性规划模型的求解方法

应用矩阵理论知识得到了一类特殊的线性规划模型的相关定理,给出了一种简便求解方法,讨论了求解方法的推广问题.     

垂直线列阵无源定位精度分析

提出了一种基于垂直线阵的系统,给出了定位模型,并简要介绍了其定位原理.利用由时延引入的距离、高低角和观测得到的方位角信息,建立了三维坐标系下的状态方程和观测方程.通过理论分析和仿真计算,讨论了声速测量误差、时延估计误差和阵元位置误差对系统定位精度的影响,给出了时延估计误差的克拉美-罗下界.综合时延估计、基线横纵扰动、三类误差的影响,在一定条件下,对目标距离估计的相对误差可控制在20%以内.     

不同电流波形下永磁推进电机电磁转矩的时步有限元计算

以12相永磁推进实验样机为研究对象,介绍了其结构特点及运行控制模式,建立了该电机的时步有限元仿真系统.采用有限元法对正弦波、方波、梯形泼电流波形下的永磁推进电机电磁转矩进行了数值计算,给出了不同电流下的功角特性曲线.研究结果表明,对于电枢反应较强的12相永磁推进电机,在通常功角范围内通入正弦波电流可产生较大电磁转矩.