应用LQG方法在生产—库存管理系统中的应用研究

给出线性二次型最优输出跟踪问题的系统方程和目标函数,对目标函数中每一项的实际意义做出分析,并讨论了加权矩阵中元素的选取。给出控制规律的最优解,并对最优控制与预期输出的关系做出分析。给出一个生产—库存管理模型,分析了该模型应满足的状态方程,从而说明了它是一个可观测系统,且可以用线性二次型最优输出跟踪问题来解决。最后用具体实例验证了方法的有效性。     

直齿渐开线齿轮齿面磨损模拟计算

在初步研究直齿轮齿面磨损的基础上,对磨损机理做了进一步的分析研究,综合考虑了摩擦系数、载荷、齿面曲率及滑动系数等影响磨损量的主要因素,提出了齿面磨损量的计算公式,并运用齿面离散化方法进行齿廓磨损的数值计算。     

弹道导弹制导计算中扰动引力的快速赋值

主动段扰动引力是引起弹道导弹制导方法误差的主要因素。因此,要提高导弹的制导精度,就必须能够在弹上实时计算扰动引力。但现有方法在计算快速性和存储量之间无法得到有效协调。为此,把广义延拓逼近思想引入有限元逼近方法中,将插值单元周围节点的信息也包含到单元内一点扰动引力的计算当中,建立了一种新的数学模型。对所选发射空域,在发射坐标系中进行了直角坐标划分。计算结果表明,这种方法能够更加精确地逼近弹道导弹主动段的扰动引力,在600 km×250 km×6 km的主动段飞行区域内,只需要保存60个节点数据,就能使由逼近误差导致的落点偏差小于10 m,是一般有限元逼近方法精度的4倍以上。     

在非结构网格上求解非线性航空声学问题的高精度有限体积法

介绍了有限体积数值方法,该方法适用于在任意非结构网格上求解线性和非线性的航空声学问题.本方法基于角点-中心的多参数格式,可在笛卡尔网格上达到六阶精度,对于可能的不连续性采用了自适应耗散.通过一系列算例研究了该方法的特性,结果表明:在模拟谐振型管中的噪声抑制中,所提出的方法是很有效的.     

Spacecraft optimal rendezvous controller design using simulated annealing

A new global approach for rendezvous Linear Quadratic controller design is presented in this paper. Instead of solving the algebraic Riccati equation, a continuous simulated annealing (SA) algorithm is used to design rendezvous LQ controller. Optimization of one automatic rendezvous controller with 18 design parameters is illustrated. The results show that the SA algorithm can locate the global solution effectively and robust, besides a great number of global solutions have been obtained by the SA. The SA has demonstrated better performance than other optimization algorithms such as floating-coded Genetic Algorithm, Simplex method and Powell algorithm.     

关于Davidson—Lanczos方法的收敛率

本文对文[1]提出的求解大型对称矩阵A的极端(几个最大或最小)特征值及相应特征向量的Davidson—Lanczos方法,用Rayleigh—Ritz逼近理论,研究了该方法的收敛率。证明了由该方法产生的规范正交向量{v_i}_i~m=1是Krylov子空间K_m≡Span(v_1,Av_1,…,A~(m-1)v_1)的一组基。设A的k个最大特征值为又,λ_1>λ_2>…>λ_k,相应的近似特征值为λ_i~(m)(i=1,…,k),得到 这里γ_i(γ_i>1),W_i和W_i~(m)是常数。     

线性摩擦焊设备的振动测量和分析

针对线性摩擦焊设备焊接误差较大的问题，采用参数记录系统和加速度传感器测量了设备多个部位的振动幅度，并设计了高刚度顶锻滑台，为线性摩擦焊设备优化结构设计、减小振动以提高焊接精度提供了参考。     

Families of halo orbits in the elliptic restricted three-body problem for a solar sail with reflectivity control devices

Solar sail halo orbits designed in the Sun-Earth circular restricted three-body problem (CR3BP) provide inefficient reference orbits for station-keeping since the disturbance due to the eccentricity of the Earth’s orbit has to be compensated for. This paper presents a strategy to compute families of halo orbits around the collinear artificial equilibrium points in the Sun-Earth elliptic restricted three-body problem (ER3BP) for a solar sail with reflectivity control devices (RCDs). In this non-autonomous model, periodic halo orbits only exist when their periods are equal to integer multiples of one year. Here multi-revolution halo orbits with periods equal to integer multiples of one year are constructed in the CR3BP and then used as seeds to numerically continue the halo orbits in the ER3BP. The linear stability of the orbits is analyzed which shows that the in-plane motion is unstable while the out-of-plane motion is neutrally stable and a bifurcation is identified. Finally, station-keeping is performed which shows that a reference orbit designed in the ER3BP is significantly more efficient than that designed in the CR3BP, while the addition of RCDs improve station-keeping performance and robustness to uncertainty in the sail lightness number.     

A novel surrogate modeling strategy of the mechanical properties of 3D braided composites

In this paper, a surrogate-based modeling methodology is developed and presented to predict the elastic properties of three dimensional (3D) four-directional braided composites. Using this approach, the prediction process becomes feasible with only a limited number of training points. The surrogate models constructed using Finite Element (FE) method and Diffuse Approximation, reduce the computational time and cost for preparing experimental samples. In the FE model, multiscale method is applied to couple the computations of elastic properties at microscale and mesoscale. Subsequently, a parametric study is performed to analyze the effects of the three design parameters on the elastic properties. Satisfactory results are obtained via the surrogate-based modeling predictions, which are compared with the experimental measurements. Moreover, the predictions obtained from surrogate models concur well with the FE predictions. This study orients a new direction for predicting the mechanical properties based on surrogate models which can effectively reduce the sample preparation cost and computational efforts.     

基于T-S模糊模型的模糊大系统的混合滤波

针对非线性大系统内部过程参数的检测估计,采用连续模糊大系统模型,利用lyapunov定理和分布式处理方法,给出了模糊大系统的H2/H∞混合滤波器设计方法。该方法在保证滤波误差系统全局稳定的同时,具备了H2/H∞性能。通过求解线性矩阵不等式,可以得到滤波器参数。最后,用一个数值例子验证了该方法的正确性和有效性。