基于累积前景理论和Choquet积分的直觉梯形模糊多属性决策

针对属性值为直觉梯形模糊数且属性存在关联性的风险决策问题, 提出一种基于累积前景理论和Choquet积分的直觉梯形模糊多属性决策方法。根据直觉梯形模糊数距离公式定义了直觉梯形模糊信息的前景价值函数, 通过价值函数和决策权重函数计算方案单属性前景值, 并运用Choquet积分融合属性间存在关联性的前景价值信息获得方案综合前景值, 根据综合前景值的大小实现方案的排序和优选。风险投资实例分析说明了该方法的可行性。     

On adaptive sliding mode control without switching gain overestimation

This paper presents some further results on adaptive sliding mode control (ASMC) for a class of nonlinear systems with bounded uncertain parameters. Given a large initial tracking error, current ASMC design generally produces an unnecessarily large switching gain, consequently leading to a serious chattering problem or a large‐amplitude control jump for the continuous counterpart. To solve such an overadaptation problem, the switching gain adaptation mechanism is first analyzed in this paper, and the adaptation induced by the initial tracking error is suggested to be removed. Then, by exploiting the global sliding mode feature of time‐varying sliding mode control and integral sliding mode control, we present two effective methodologies for ASMC design. The proposed ASMC algorithms ensure that there is no overestimation of the switching gain and the system response is not slowed down when a small switching gain is generated. The validity of the proposed methods is verified by both theoretical analysis and simulation results. Copyright © 2012 John Wiley & Sons, Ltd.     

基于变速积分PID的恒温控制系统的应用研究

在多个领域都会用到恒温控制系统,设计一种基于变速积分PID的恒温控制系统,系统以STM32为核心处理器。该文讲述了系统的构成,分析了变速积分PID算法,并在恒温控制系统中得到运用。经过长时间的调试,得到合适的PID系数,使得系统的控制精度达到＆#177;0.01℃/30min。系统具有性能稳定,可靠性高的优点。     

Accommodation and convergence in integral imaging 3D display

In this paper, we analyze the visual fatigue of integral imaging three‐dimensional (3D) display by studying the accommodation and convergence when viewing the integral imaging 3D images. The theoretical analyses show that there is no inconsistency between the accommodation and convergence distances, which means that the integral imaging 3D display has no visual fatigue. Experiments are implemented, and the results finally demonstrate the rationality of the theoretical analyses. These analyses can be quite beneficial for researchers to better understand the performances and promote the practical applications of the integral imaging 3D display.     

不定积分中的几何背景和表格分部积分法

论述了数学背景对数学发展的重要性,提供了不定积分中的几何背景,介绍了不定积分的表格分部积分法及案例,对改革教学内容和改进教学方法进行了尝试。     

Dirichlet边界条件的声波散射问题的两种数值方法

利用单层位势理论将声波散射的外边值问题转化为第一类边界积分方程,采用迭代的Tikhonov正则化和改进的Tikhonov正则化方法求解,给出了二维空间的数值实例。与Nystrom方法相比,计算简单得到的精度却一样。     

面曝光快速成形系统升降工作台运动精度研究

介绍了面曝光快速成形实验系统的基本原理,构建了由运动控制卡、驱动器、精密滚珠丝杠、直线导轨等组成的升降工作台,并对其运动精度进行了测试和评定．工作台向下进给时,定位精度为10．9μm,单向重复定位精度为10．8μm;工作台向上进给时,定位精度和单向重复定位精度都为7．6μm．测试结果表明,该系统能够满足制作小尺寸零件的精度要求．     

关于加权的Bernstein-Markov型不等式

假设函数f在端点处具有奇性,该文针对此类函数定义了一类修正的Bernstein算子,并在此基础上给出了修正的Bernstein算子的加权Bernstein-Markov型不等式,此类不等式推广了数学工作者们的结论。     

基于多特征融合的运动物体识别方法研究

为了实现运动目标的实时检测,本文基于多特征融合,提出了一种运动物体分级识别方法.首先通过对运动目标的分割,分析得到各个物体的形状矩特征、面积大小及运动速度.对上述特征,采用支持向量机方法对其矩特征进行快速的一级分类,然后对一级分类结果及各物体的面积、速度等信源根据其对分类的重要程度,采用模糊积分技术进行多特征融合分类.实验表明,本方法具有较强的学习能力及较高的识别精度,可有效地应用于道路监控等系统.     

L-fuzzy闭包算子及其等价刻画

借助L-fuzzy映射和L-fuzzy集的像,给出了由L-fuzzy映射诱导的L-fuzzy闭包算子及其等价刻画.当L为有限分配格时,讨论了代数的L-fuzzy闭包算子及其所诱导的闭包系统的等价刻画.