A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion

In this paper, we propose a new compact fourth-order accurate method for solving the two-dimensional fourth-order elliptic boundary value problem with third-order nonlinear derivative terms. We use only 9-point single computational cell in the scheme. The proposed method is then employed to solve Navier–Stokes equations of motion in terms of streamfunction–velocity formulation, and the lid-driven square cavity problem. We describe the derivation of the method in details and also discuss how our streamfunction–velocity formulation is able to handle boundary conditions in terms of normal derivatives. Numerical results show that the proposed method enables us to obtain oscillation-free high accuracy solution.     

Approximating of conic sections by DP curves with endpoint interpolation

Conic sections have many applications in industrial design, however, they cannot be exactly represented in polynomial form. Hence approximating conic sections with polynomials is a challenging problem. In this paper, we use the monomial form of Delgado and Peña (DP) curves and present a matrix representation for them. Using the matrix form and the least squares method, we propose a simple and efficient algorithm for approximating conic sections by DP curves of arbitrary degree with endpoint interpolation. Finally, we test and compare the proposed algorithm on some numerical examples which validates and confirms efficiency of it.     

MIMO-OFDM系统的低阶信道估计的改进

在慢衰落信道条件下,MMSE估计有较好的估计性能但复杂度较高。为了降低信道估计的运算复杂度,分析并总结了原有的MMSE信道估计算法以及其改进算法,提出一个基于MIMO-OFDM系统的OLR-MMSE信道估计算法。OLR-MMSE估计是结合了MMSE算法的低秩近似以及SVD分解,大大降低了大矩阵的阶数,有效地降低运算复杂度并可以保持良好的估计性能。通过计算机模拟仿真验证了提出的信道估计可以达到系统性能和复杂度之间较好的权衡。     

基于逻辑回归模型的木片和树皮的图像识别

为了提高木片生物能的利用率,需要除去木片中的树皮杂质。识别木片和树皮的图像对于实现二者分离具有重要作用。提出一种基于逻辑回归模型来对木片和树皮进行图像识别的算法。算法流程包括计算各种可以描述木片和树皮纹理的参数,利用SAS统计分析出最佳参数,将最佳参数计算所得的样本数据用于SAS LOGISTIC过程得到预测方程,再将预测方程用于逻辑回归模型来实现木片和树皮的图像识别。通过实验可知,最佳参数为灰度方差,该图像识别算法的正确率能达到97.4%。     

基于GPU的元胞自动机熔岩流动模拟

为解决基于元胞自动机进行熔岩流动模拟的计算效率问题,提出一种应用在元胞自动机上的GPU并行计算方法。将元胞自动机中每一个方形网格映射到GPU的一个逻辑计算单元上,通过并行计算,提高模拟的效率,解决传统串行计算方法的不足,使模拟达到实时性。模拟结果表明,在元胞自动机的物理模型理论基础上,用GPU并行计算进行加速,在模拟效果和时间效率上均取得了良好的效果。     

锅炉过热蒸汽压力控制系统设计与实现

针对工业过程中具有大惯性、大滞后和模型参数时变等特性的蒸汽出口压力系统,采用常规PID控制方法,往往无法得到满意的控制效果.为此,提出采用三自由度内模控制-模糊自适应PID算法,通过最小二乘原理辨识主蒸汽压力对象的内部模型,实现对蒸汽出口压力系统的串级控制.该控制系统融合了模糊控制、内模控制、PID控制3种方法的特点,程序设计简单,便于工业应用.通过仿真和PCS7实验表明,该方案增强了系统抗干扰能力和鲁棒性能,改善了系统的控制品质.     

基于最小二乘法的pH值温度补偿系统设计

温度对水样的pH值和pH值传感器复合电极电位都有影响,通过对pH值测量原理的分析,提出以最小二乘法为原理的pH值传感器温度补偿模型,设计了以ATMEGA128单片机为核心控制器的水样pH值测量系统.通过对测试数据分析表明:该系统测量的数据精度较高,实现了对水样pH的精确测量.     

全相位与Geiger算法的岩石声发射源定位方法

Geiger定位算法在岩石定位分析中得到广泛应用,但是对初始值要求非常严格,若初始值选择不当,则很难进入收敛范围。为了提高定位精度,减少迭代次数,针对这些问题,提出全相位与Geiger算法的岩石声发射源定位方法。首先进行花岗岩（50 mm×100 mm×50 mm）断铅实验,接着充分利用全相位FFT相位不变性的优势分析断铅信号,通过相位差法求出时延同时反演声发射源求出Geiger迭代初始值,最后综合最小二乘法与Geiger算法,迭代求出最优解。实验仿真结果显示此算法的平均误差相比美国PCI-2型声发射仪器定位结果降低了约5 mm,有效解决了Geiger初始值选取的问题,能够迅速进入收敛范围,提高了收敛速度和定位精度。     

Analysis of General Ideal Proportional Navigation Guidance Laws

In this work, the capture region of the general ideal proportional navigation guidance law is analyzed with the following constraints: (i) the target's input acceleration is subject to independent or magnitude saturation, and (ii) the missile's input acceleration is subject to magnitude saturation. In addition to the case of unbounded maneuverability of missile with or without knowing the target acceleration, the necessary and sufficient condition for a bounded maneuvering missile that captures a nonmaneuvering target is also derived. Furthermore, the conditions that result in zero impact velocity are discovered and discussed in some of the cases. The capture regions that cannot be obtained analytically are determined numerically by a powerful classifier, the least square support vector machines. To have the capture region ready for least square support vector machines, all the state variables are transformed into modified polar variables and non‐dimensionalized to reduce the number of independent variables. In order to make the implementation possible in real time, an approximation of the Gaussian radial basis function is adopted to obtain the corresponding nonlinear feature mapping function. Through numerous numerical experiments, the proposed technique is found to be adequate for storing the capture region in an onboard fire control computer.     

An analysis of the exponential stability of linear stochastic neutral delay systems

This paper is concerned with the analysis of the mean square exponential stability and the almost sure exponential stability of linear stochastic neutral delay systems. A general stability result on the mean square and almost sure exponential stability of such systems is established. Based on this stability result, the delay partitioning technique is adopted to obtain a delay‐dependent stability condition in terms of linear matrix inequalities (LMIs). In obtaining these LMIs, some basic rules of the Ito calculus are also utilized to introduce slack matrices so as to further reduce conservatism. Some numerical examples borrowed from the literature are used to show that, as the number of the partitioning intervals increases, the allowable delay determined by the proposed LMI condition approaches h_max, the maximal allowable delay for the stability of the considered system, indicating the effectiveness of the proposed stability analysis. Copyright © 2013 John Wiley & Sons, Ltd.