An improved α-cut approach to transforming fuzzy membership function into basic belief assignment

In practical applications, pieces of evidence originated from different sources might be modeled by different uncertainty theories. To implement the evidence combination under the Dempster–Shafer evidence theory(DST) framework, transformations from the other type of uncertainty representation into the basic belief assignment are needed. a-Cut is an important approach to transforming a fuzzy membership function into a basic belief assignment, which provides a bridge between the fuzzy set theory and the DST. Some drawbacks of the traditional a-cut approach caused by its normalization step are pointed out in this paper. An improved a-cut approach is proposed, which can counteract the drawbacks of the traditional a-cut approach and has good properties. Illustrative examples, experiments and related analyses are provided to show the rationality of the improved a-cut approach.     

基于直接自适应控制的挠性航天器高精度姿态控制

研究了挠性航天器高精度姿态控制问题.考虑被控对象的非线性、外部干扰以及挠性结构和惯量参数不确定性,设计了直接自适应姿态控制律.通过对经典直接自适应控制中参数自适应律的改进,进一步提高了姿态控制系统性能.该控制系统不仅考虑了挠性结构和惯量参数不确定性,同时考虑了系统非线性特性及外部干扰,且参考模型阶数小于实际被控对象阶数...     

校准喷嘴系统的不确定度分析方法

介绍了热线／热膜流速仪的基本原理和用于热线／热膜流速仪校准用的校准喷嘴系统的气体速度确定方法,分析和推导了用不确定度理论全面分析系统不确定度的方法。     

接触定位式量块干涉仪测量不确定度的分析

分析了一台用于测量量块的激光干涉仪的测量不确定度。着重介绍了干涉信号质量,空气折射率及材料热膨胀等因素对测量不确定度的影响。     

如何将SYSTEMⅡ扩展到8mm波段

SYSTEMⅡ为微波小功率校准系统。叙述了利用SYSIEMⅡ现有设备将其频段扩展到 8mm波段的一种新方法 ,给出了系统组成 ,工作原理 ,误差分析及系统不确定度合成。     

NPL改进的光谱响应标准(400nm～20μm)(一)

英国国家物理实验室已建立了两套光谱响应标准。用高量子效率的硅光电二级管建立400～92Onm范围内的光谱响应标准,NPL此标准的传递不确定度为0．1％。用装有半球形反射腔的热释电探测器建立了1～20μm范围内的光谱响应标准,此标准的不确定度小于1．6％。     

A double integral method for quantitative evaluation of influence on thin-walled casing response caused by bearing uncertainties

Bearings in a gas turbine engine are the key connecting components transmitting force and motion between rotors and thin-walled flexible casing. The bearing stiffness and damping of squeeze film damper(SFD) nearby bearings are easily affected by many factors, such as assembly process, load condition and temperature variation, resulting in uncertainties. The uncertainties may influence the response of the measuring point on the casing. Hence, it is difficult to carry out the fault diagnosis, whol...     

Interval analysis of rotor dynamic response based on Chebyshev polynomials

Uncertainty is extensively involved in the rotor systems of rotating machinery, which may cause an unstable vibrational response. To take the uncertainty into consideration for the uncertain rotor-bearing system, an improved unified interval analysis method based on the Chebyshev expansion is established in this paper. Firstly, the Chebyshev Interval Method(CIM) to calculate not only the critical speeds but also the dynamic response of rotor with uncertain parameters is introduced. Then, the num...     

代理模型在空间碎片碰撞概率分析中的应用

利用代理模型来高效计算空间目标之间的碰撞概率。碰撞概率计算的经典方法包括蒙特卡洛（Monte Carlo,MC）方法,以及基于速度线性化、位置误差服从高斯分布等假设,在相遇平面上对碰撞概率密度函数（高斯型）进行积分的方法。相较于MC方法要处理原轨道模型由大量重复仿真带来的计算量增长,代理模型针对输入变量的先验分布设计得到相应数学模型,不仅大大降低了单次仿真的计算时间,还减少了计算概率所需的仿真数量。代理模型去除了线性化假设等限制条件,对于碰撞概率密度函数可能呈现出的非高斯型特征也有很好的统计解释,其适用范围更广。本文结果表明,代理模型方法能够在大幅降低计算量的同时,保证对碰撞概率的估计较为准确。     

基于二维不确定性量化分析的射流换向阀切换性能研究

真实情况中,射流换向阀的边界参数呈现明显的不确定性,由于主流和控制流压强是影响射流换向阀切换性能的重要因素,因此其不确定性将导致切换性能产生明显的波动。本文采用不确定量化分析方法中的PCM（Probabilistic Collocation Method）方法,研究了主流和控制流压强的不确定性对射流换向阀切换性能的耦合影响,获得了一维和二维不确定度下的切换性能不确定度带。研究结果显示,主流或控制流压强的不确定性均使得射流换向阀切换性能产生明显的波动;其中控制流压强的不确定性对其影响尤为突出;当存在二维不确定性时,射流换向阀的切换性能将出现更大幅度的波动,最大波动幅度达29%。