一种新的广义凸多目标分式规划的对偶定理

本文给出了一类新的广义凸函数-(F,α,ρ,θ)-b-凸函数,讨论了多目标分式规划(MFP)的三种对偶模型:Mond-Weir型对偶、Lagrange型对偶、Schaible型对偶,并基于(F,α,ρ,θ)-b-凸性证明了各自相应的弱、强对偶定理。     

A regional model for the prediction of M(3000)F2 over East Asia

Research on empirical or physical models of ionospheric parameters is one of the important topics in the field of space weather and communication support services. To improve the accuracy of predicting the monthly median ionospheric propagating factor at 3000 km of the F2 layer (identified as M(3000)F2) for high frequency radio wave propagation, a model based on modified orthogonal temporal–spatial functions is proposed. The proposed model has three new characteristics: (1) The solar activity parameters of sunspot number and the 10.7-cm solar radio flux are together introduced into temporal reconstruction. (2) Both the geomagnetic dip and its modified value are chosen as features of the geographical spatial variation for spatial reconstruction. (3) A series of harmonic functions are used to represent the M(3000)F2, which reflects seasonal and solar cycle variations. The proposed model is established by combining nonlinear regression for three characteristics with harmonic analysis by using vertical sounding data over East Asia. Statistical results reveal that M(3000)F2 calculated by the proposed model is consistent with the trend of the monthly median observations. The proposed model is better than the International Reference Ionosphere (IRI) model by comparison between predictions and observations of six station, which illustrates that the proposed model outperforms the IRI model over East Asia. The proposed method can be further expanded for potentially providing more accurate predictions for other ionospheric parameters on the global scale.     

Basic belief assignment approximations using degree of non-redundancy for focal element

Dempster-Shafer evidence theory, also called the theory of belief function, is widely used for uncertainty modeling and reasoning. However, when the size and number of focal elements are large, the evidence combination will bring a high computational complexity. To address this issue, various methods have been proposed including the implementation of more efficient combination rules and the simplifications or approximations of Basic Belief Assignments (BBAs). In this paper, a novel principle for approximating a BBA into a simpler one is proposed, which is based on the degree of non-redundancy for focal elements. More non-redundant focal elements are kept in the approximation while more redundant focal elements in the original BBA are removed first. Three types of degree of non-redundancy are defined based on three different definitions of focal element distance, respectively. Two different implementations of this principle for BBA approximations are proposed including a batch and an iterative type. Examples, experiments, comparisons and related analyses are provided to validate proposed approximation approaches.     

Analyzing Qualitative Spatio-Temporal Calculi using Algebraic Geometry

Abstract

Qualitative spatial reasoning is based on calculi which comprise relations and operation tables that encode operations like relation composition. Designing a calculus involves determining these tables and analyzing reasoning properties—a demanding task that is susceptible to errors if performed manually. This paper is concerned with automating computation of operation tables and analysis of qualitative calculi over real-valued domains like the plane ². We present an approach to specify qualitative relations using polynomial equations that allows methods from algebraic geometry to be applied. This paper shows how reasoning with qualitative relations can be posed algebraically and demonstrates algebraic reasoning using Gröbner base analysis. We evaluate this approach and describe our implementation, which is freely available as part of the spatial reasoning toolbox SparQ.     

含模型不确定性和状态约束的航天器姿态鲁棒控制

针对严格反馈三轴稳定航天器姿态控制问题,在考虑航天器系统存在模型不确定性、未知外部扰动、系统存在时延情况下,提出了一种鲁棒控制方法。首先建立航天器误差运动学和动力学模型,使用神经网络对系统不确定性和未知扰动进行逼近、引入障碍李雅普诺夫函数对系统状态约束进行处理;然后利用反步法构造一种鲁棒自适应姿态控制器,通过李雅普诺夫方法证明闭环系统是最终一致有界的;最后,结合工程实际经验对系统已知时延进行前馈补偿。半物理仿真结果表明了所设计控制器的有效性和鲁棒性。     

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.     

速率限制舵机描述函数模型研究

基于电传飞行控制系统中速率限制舵机的非线性特征,建立了速率限制舵机的简化模型.提出运用描述函数法建立速率限制舵机的精确正弦描述函数模型、高度饱和与近饱和描述函数模型.将高度饱和与近饱和描述函数模型的频率特性与精确正弦描述函数模型的频率特性进行了对比研究,获得了高度饱和与近饱和描述函数模型的使用域.研究结果可为控制系统中...     

新型高可靠性主燃油控制装置设计仿真研究

为了提高主燃油控制装置的可靠性,在设计方案中增加了泵转换单元和计量转换活门。泵转换单元连接燃油计量子系统和导叶作动子系统,计量转换活门连接主燃油电液伺服阀与热计量电液伺服阀,实现了泵源备份和计量控制备份功能。通过AMESim建立的主燃油控制装置的数学模型对两个新增备份转换装置及功能进行了性能仿真,重点分析了备份切换过程中压力、流量等参数的波动情况。仿真结果表明:泵备份切换和计量备份切换过程引起的燃油波动都能在较短时间内恢复,分别为0.3s和1s。主燃油控制装置在单泵源状态工作时,导叶作动子系统工作正常,对计量燃油子系统的影响极小。     

Fluxes and nuclear abundances of cosmic rays inside the magnetosphere using a transmission function approach

At 1 AU and outside the Earth’s magnetosphere, the relative abundances to protons for He (He/p), C (C/p) and Fe (Fe/p) nuclei were calculated using the observation data of AMS-01 (for p and He) and HEAO-3 (for C and Fe) above 0.8 GeV/nucleon. In addition, the transmission function (TF) for the GCR propagation inside the magnetosphere was evaluated using the IGRF and T96 (introduced by Tsyganenko and Stern) models to obtain permitted and forbidden trajectories inside the magnetosphere. The TF allowed one to derive the primary He-nuclei fluxes in the same geomagnetic regions of AMS-01 observations. These fluxes were found in good agreement with the observation data. Furthermore inside the magnetosphere in addition to the flux of helium, it allowed one to obtain those of the primary p, C, and Fe nuclei and the relative abundances of He, C and Fe nuclei to protons from the same observation data of AMS-01 and HEAO-3 above ≈0.8 GeV/nucleon. Up to a geomagnetic latitude of ≈45.84°, the relative isotopic abundances were found to depend on the mass number I_isot and, on average, range from a factor ≈2.31 up to ≈3.35 larger than those outside the magnetosphere at 1 AU. Thus, the magnetospheric isotopic/nuclear relative abundances differ from those inside the solar cavity and those in the interstellar space. The usage of the TF approach can allow one to determine the nuclear abundances in the magnetosphere at any geomagnetic latitude and, thus, any orbit, provided that the CR spectra are determined at 1 AU.     

考虑不同载荷顺序下应力损伤模糊性的Miner法则

针对传统Miner法则无法考虑载荷加载顺序的缺陷，应用模糊理论分析了不同载荷顺序下疲劳极限附近的应力对构件造成疲劳损伤的模糊性，使修正后的模糊Miner理论能够较好地反映出载荷加载顺序对疲劳寿命的影响。算例分析结果表明，该方法可使疲劳寿命的预测误差由原来的61．6％减小到21．7％。