Data structure and algorithms for fast automatic differentiation

In this paper we discuss the data structure and algorithms for the direct application of generalized Leibnitz rules to the numerical computation of partial derivatives in forward mode. The proposed data structure provides constant time access to the partial derivatives, which accelerates the automatic differentiation computations. The interaction among elements of the data structure is explained by several numerical examples. The paper contains analysis of the developed data structure and algorithms. Copyright © 2003 John Wiley & Sons, Ltd.     

任意取向多个介质旋转椭球的散射场

本文提出了一种用于计算任意取向多个介质椭球电磁散射的混合方法.利用扩展边界条件(EBC)导出具有旋转轴对称单个椭球以球面波矢量函数为基底的T矩阵,结合球矢量波函数旋转定理和递推T矩阵方法,给出多个任意取向介质椭球的散射场.数值例子验证了该混合方法的计算精度和有效性.     

线性二次型最优控制闭环系统极点的必要条件

本文推导了线性二次型（LQ）最优控制闭环系统极点应满足的必要条件，以及与加权阵Q和R的等式关系     

三维精细积分法地震正演及边界条件

 将任意差分精细积分法用于三维波动方程地震正演，关键在于如何消除数值计算中有限波场区域边界引起的边界反射。文中采用Berenger给出的电磁波完全匹配层吸收边界条件，推导出三维波动方程任意差分精细积分法地震正演的完全匹配层吸收边界条件计算公式，并给出了完全匹配层吸收边界条件算例。计算结果表明，此方法压制边界反射效果明显。三维波动方程地震正演模拟实例表明，完全匹配层吸收边界条件的任意差分精细积分法为复杂区地震波传播规律研究提供了一种实用的正演模拟工具     

Optimal tracking performance of MIMO discrete‐time systems with communication constraints

The optimal tracking problem for multiple‐input multiple‐output linear‐time‐invariant discrete‐time systems with communication constraints in the feedback path is studied in this paper. The tracking performance is measured by the energy of the error signal between the output of the plant and the reference signal. The objective is to obtain an optimal tracking performance, attainable by all possible stabilizing compensators. It is shown that the optimal tracking performance consists of two parts, one depends on the nonminimum phase zeros and zero direction of the given plant, as well as the reference input signal direction, and the other depends on the nonminimum phase zeros, unstable poles, and pole direction of the given plant, as well as the bandwidth and additive white Gaussian noise of the communication channel. It is also shown that, if the constraint of the communication channel does not exist, the optimal tracking performance reduces to the existing tracking performance of the control system without communication constraints. A typical example is given to illustrate the theoretical results. Copyright © 2011 John Wiley & Sons, Ltd.     

Optimal Performance in Tracking Stochastic Signal Under Disturbance Rejection

The analysis method of optimal tracking performance is proposed for multiple‐input multiple‐output (MIMO) linear time‐invariant (LTI) systems under disturbance rejection. An H₂ criterion of the error signal between the output of the plant and the reference signal is used as a measure for the tracking performance. Spectral factorization is applied to obtain the optimal solution of the system tracking error. The explicit expressions are derived for this minimal tracking error with respect to random reference signals under disturbance rejection. It is shown that the nonminimum phase zeros, the zero direction, the unstable poles, the pole direction of a given plant, statistical characteristics of the reference input signal, and disturbance signal have a negative effect on a feedback system's ability to reduce the system error with disturbance rejection. The results show that the optimal tracking performance will further be damaged because of disturbance rejection. Some typical examples are given to illustrate the theoretical results.     

基于高频暂态稀疏测量的复杂直流配电网故障定位

为了解决直流配电网中高速通信测量点不足、故障特征复杂等导致的故障定位精度差的问题,提出了一种适用于复杂直流配电网的新型直流极间短路故障定位算法。首先,根据高频瞬态电流环路,构建含有电平转换器和DC/DC转换器的高频阻抗等效模型为故障过程提供稳定的阻抗值。其次,利用BCS理论推导与稀疏测量点相对应的节点高频暂态电压方程。最后,结合节点高频瞬态电压方程和贝叶斯压缩感知理论,求解节点高频瞬态电流稀疏矢量实现故障定位。实验结果表明:所提算法对测量点的数量要求较低,不需要严格同步地测量数据,且不受转换器的控制策略和过渡电阻影响,具有较高的故障定位准确性。     

基于蜂群算法任意平面阵最大信干噪比研究

针对复杂战场环境下超短波电台天线接收低信噪比信号能力弱和易受定向干扰的缺陷,结合战场超短波电台不规则分布和位置不能任意改变的特点,提出任意结构天线阵信号接收模型,采用蜂群算法优化阵元相位使得天线阵输出信干噪比最大。假设信噪比为0 dB,干噪比为60 dB,且在平面内随机选取8个阵元,采用蜂群算法优化后输出信干噪比为8.633 dB。与改进差分进化算法、遗传算法和粒子群优化算法相比,分别提高了0.577 dB、1.124 dB和1.543 dB。研究成果可为超短波电台组阵通信提供参考。     

基于MFC和MCU的任意波形发生器的设计

为了获得测试测量中特殊信号的波形,在上位机波形编辑软件和信号发生器基础上,提出了任意信号发生器的设计方法。在MFC平台上,实现任意波形编辑软件。该软件支持手绘任意波形、高阶曲线拟合以及常用波形编辑,并可将波形数据下载至基于C8051F340单片机的信号发生器中。实验表明,本设计方案可以获得任意手绘波形、高阶拟合曲线波形、正弦波、可调占空比的三角波和方波、高斯噪声等,还实现了多通道输出和通道间有幅度或者相位关联输出,具有实际应用价值。     

一个新的极小谱任意符号模式

设A是-n／阶符号模式．若给定任意一个n次首一实系数多项式厂（A）,都存在一个实矩阵B∈Q（A）,使得B的特征多项式为f（λ）,则称A为谱任意符号模式．如果一个谱任意符号模式的任意非零元被零取代后所得到的符号模式不是谱任意,那么这个谱任意符号模式称为极小谱任意符号模式．作者在文中给出了一个新的极小谱任意符号模式．