基于微分流形理论的虚拟仪器测量不确定度评估方法研究

项目名称： 基于微分流形理论的虚拟仪器测量不确定度评估方法研究

项目编号： No.51275310

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 机械、仪表工业

项目作者： 荆学东

作者单位： 上海应用技术学院

项目金额： 80万元

中文摘要： 虚拟仪器测量不确定度评估这一关键基础理论问题的研究目前遇到三个瓶颈：(1)软件（算法）是虚拟仪器的核心，但目前没有公认而有效的方法评估其测量不确定度；(2)对于静态测量，在虚拟仪器各个环节测量不确定度已知的情况下尚没用有效的方法评估仪器的测量不确定度；(3)对于动态测量，由于虚拟仪器各个环节的不确定度呈现时变性，使得仪器的测量不确定度呈现时变性和高度非线性而难以确定。本课题基于黑箱理论及流形理论建立了软件（算法）不确定度评估模型；然后应用微分流形理论并基于指数族分布规律建立"统一分布规律"模型，以解决仪器单一硬件环节的测量不确定度评估问题；之后应用微分流形及最大熵原理建立虚拟仪器静态测量不确定度评估模型；最后，应用微分流形及信息融合理论建立虚拟仪器动态测量不确定度评估模型。基于上述研究，开发虚拟仪器测量不确定度评估应用程序。上述这些方法也为传统仪器的测量不确定度评估提供指导。

中文关键词： 虚拟仪器；不确定度评估；DSP不确定度模型；静态测量；动态测量

英文摘要： There are three bottlenecks with resptect to the problems of measurement uncertaity of a virtual instrument(VI):(1)hitherto, there are no effective approaches to evaluate the measurement uncertainty of a software(algorithms), which is the kernel of a VI;(2) and so far,there are also no acceptable methods to evaluate the measurement uncertainty of a VI under static measurement occasion;and (3) up to now, there are still no acceptable methods to evaluate the measurement uncertainty of a VI under dynamic measurement occasion. Try to solve these problems, a novel mathematical model for evaluating the measurement uncertainty of the software(algorithm)adopted by a VI will be established by applying the theory of black box and that of differential manifold;then the universal distribution model will also be put forward based on exponentiale family of distribution by application of theory related to differential manifold, and this model could be applied to evaluating the measurement uncertainty of the hardware of a VI. Meanwhile, a nother mathematical model will also configurated for evaluating the measurement uncertainty of a VI under static measurement occasion by applying the theory of differential manifold and that of Maximum entropy;moreover, a nother novel mathematical model will also be presented to evaluate th

英文关键词： virtual instrument；uncertainty evaluation；measurement uncertainty model for DSP；static measurement；dynamic measurement