Fine singularity analysis of solutions to the Laplace equation

We present here a fine singularity analysis of solutions to the Laplace equation in special polygonal domains in the plane. We assume piecewise constant Neumann data on one component of the boundary. Our motivation is to study the so‐called Berg effect, which is explained in the introduction. Copyright © 2014 John Wiley & Sons, Ltd.     

A measure of mutual complete dependence in discrete variables through subcopula

Siburg and Stoimenov [12] gave a measure of mutual complete dependence of continuous variables which is different from Spearman's ρ and Kendall's τ. In this paper, a similar measure of mutual complete dependence is applied to discrete variables. Also two measures for functional relationships, which are not bijection, are investigated. For illustration of our main results, several examples are given.     

Robust sampled‐data H∞ control for mechanical systems

This article addresses the issue of robust sampled‐data control for a class of uncertain mechanical systems with input delays and linear fractional uncertainties which appear in all the mass, damping, and stiffness matrices. Then, a novel Lyapunov–Krasovskii functional is constructed to obtain sufficient conditions under which the uncertain mechanical system is robustly, asymptotically stable with disturbance attenuation level about its equilibrium point for all admissible uncertainties. More precisely, Schur complement and Jenson's integral inequality are utilized to substantially simplify the derivation of the main results. In particular, a set of sampled‐data controller is designed in terms of the solution of certain linear matrix inequalities that can be solved effectively using available MATLAB software. Finally, a numerical example with simulation result is provided to show the effectiveness and less conservativeness of the proposed sampled‐data control scheme. © 2014 Wiley Periodicals, Inc. Complexity 20: 19–29, 2015     

Estimation of rating classes and default probabilities in credit risk models with dependencies

Let Y = m(X) + ε be a regression model with a dichotomous output Y and a one‐step regression function m . In the literature, estimators for the three parameters of m , that is, the breakpoint θ and the levels a and b , are proposed for independent and identically distributed (i.i.d.) observations. We show that these standard estimators also work in a non‐i.i.d. framework, that is, that they are strongly consistent under mild conditions. For that purpose, we use a linear one‐factor model for the input X and a Bernoulli mixture model for the output Y . The estimators for the split point and the risk levels are applied to a problem arising in credit rating systems. In particular, we divide the range of individuals' creditworthiness into two groups. The first group has a higher probability of default and the second group has a lower one. We also stress connections between the standard estimator for the cutoff θ and concepts prevalent in credit risk modeling, for example, receiver operating characteristic. Copyright © 2014 John Wiley & Sons, Ltd.     

基于CAN总线的遥测数据处理模块软件设计

随着飞行器电子综合化技术的发展,数据总线在飞行器中得到大量应用。为满足某飞行器总线系统测量的需求,本文设计了一种基于CAN总线的遥测数据处理模块。硬件部分主要由CAN总线驱动器模块、DSP数字信号处理模块、FPGA逻辑处理模块组成。软件设计包括TMS320F28335的初始化,CAN总线数据处理和外部中断处理三部分。该模块用于某飞行器双路CAN总线数据的采集及处理,并经过了多次飞行试验验证。该模块简化了系统设计,实现了高速、可靠的CAN总线遥测数据处理。     

运载火箭试验数据管理及可视化系统设计

针对现有运载火箭试验数据管理及可视化系统依赖于第三方功能插件,未实现纯浏览器端三维模型渲染及交互,系统对运行环境依赖性强、部署和维护成本高等问题,设计了基于JavaScript框架ExtJS和WebGL框架three.js的运载火箭试验数据管理及可视化系统。首先基于B/S架构设计了系统总体框架,然后针对二维图形数据传输延迟问题设计了基于Web Worker的数据读取方案,最后针对浏览器端三维模型渲染需求提出了基于VTK模型的转换算法,设计了三维模型渲染及交互方案。试验结果显示,本系统不依赖于运行环境和功能插件,能实现浏览器端二维图形和三维模型渲染及流畅交互,为兼容国产化操作系统、降低部署和维护成本创造了条件。     

基于CPCI总线的雷达数据采集与控制系统显控软件设计

CPCI总线作为PCI总线的加固版本,目前已成为计算机上流行的高速外设接口总线。在工业自动化领域,进行数据采集和控制基本上也都是通过这一成熟技术来实现的。本文简要介绍该测量雷达和数据采集与控制系统的基本结构,以及CPCI总线标准,重点分析显控软件的功能需求,采用自顶向下的设计,并在VC环境下基于MFC架构利用多线程和双缓存技术以及多种ActiveX控件进行显控软件设计。实现了对测量雷达的控制以及对雷达回波的原始数据的实时存取和绘制。     

基于多功能数据采集卡和变速PID的转台控制系统设计

为了提高采用转台对惯导系统和惯性仪表进行误差模型标定时的可靠性和精度,对角位置转台的控制系统进行了研究。首先借助NI公司PXI-8101控制器和功能强大的数据采集卡PXIe-6363对转台控制系统进行了硬件设计。随后在对转台常规PID控制方法研究的基础上提出了一种能随系统调节偏差自动改变积分项累加速度的变速PID控制方法。接着又对基于软件实现的双通道旋转变压器轴角解调算法进行了研究并提出了一种粗精组合角纠错方法。最后对本文设计的转台控制系统进行了测试实验,结果表明提出的轴角解调算法具有较好的解码速度和精度,并且变速PID控制方法大大提高了转台控制系统的自学习能力和鲁棒性,显著地改善了转台控制过程的稳定性。     

装备使用与保障研究数据的生成方法研究

装备使用与保障数据是开展装备科学研究的重要依据,而由于管理不善、保密、样本过少等原因常常导致相关数据缺少应有的积累,无法满足实际研究的需要。为了克服这一困难,文章提出通过算法生成数据予以解决。首先根据数据的应用特性,将装备使用与保障数据看作简单数据、规律已知数据和规律未知数据三类,分别制定生成策略。对于简单数据和规律已知数据,通过已有的商用软件或简单的自定义方法生成;对于规律未知数据,采用模式注入或特性继承的方法生成。在某大型装备管理综合信息系统的设计开发中,对这些生成方法进行了工程实践,结果表明了方法的正确性和可行性。     

基于瑞利熵的多无源传感器数据关联算法

针对当前多无源传感器数据关联算法构造关联代价时,未考虑位置估计不确定性所引入的误差,提出一种基于位置估计不确定性的被动传感器数据关联算法。首先通过量测与伪量测概率密度函数之间的瑞利熵构建关联代价函数,以准确描述两个相似的概率密度函数之间差异,然后通过具体实验测试本文算法的有效性和优越性。实验结果表明,相对于当前经典的数据关联算法,本文算法提高了数据关联的正确率和速度,具有更高的实际应用价值。