基于机械故障诊断的算法及小波基选择研究

针对小波分析在机械故障诊断应用中的快速算法和小波基选择存在的问题,对常用的正交、半正交、双正交小波提取信号特征的能力进行了分析比较,研究表明半正交B样条小波因具有线性相位和采用较长的分解序列而具有较好的频率局部化特性和较小的变换误差,具有比较好的综合性能。推导了正交小波包的图形显示算法,利用该算法解决了小波变换快速算法中存在的数据长度随分解层数成倍减小的问题。研究结果为机械故障诊断中选择小波基进行信号处理提供了依据和途径。     

Sojourn times in G/M/1 fork‐join networks

We consider a processing network in which jobs arrive at a fork‐node according to a renewal process. Each job requires the completion of m tasks, which are instantaneously assigned by the fork‐node to m task‐processing nodes that operate like G/M/1 queueing stations. The job is completed when all of its m tasks are finished. The sojourn time (or response time) of a job in this G/M/1 fork‐join network is the total time it takes to complete the m tasks. Our main result is a closed‐form approximation of the sojourn‐time distribution of a job that arrives in equilibrium. This is obtained by the use of bounds, properties of D/M/1 and M/M/1 fork‐join networks, and exploratory simulations. Statistical tests show that our approximation distributions are good fits for the sojourn‐time distributions obtained from simulations. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

The stochastic single resource service‐provision problem

The service‐provision problem described in this paper comes from an application of distributed processing in telecommunications networks. The objective is to maximize a service provider's profit from offering computational‐based services to customers. The service provider has limited capacity and must choose which of a set of software applications he would like to offer. This can be done dynamically, taking into consideration that demand for the different services is uncertain. The problem is examined in the framework of stochastic integer programming. Approximations and complexity are examined for the case when demand is described by a discrete probability distribution. For the deterministic counterpart, a fully polynomial approximation scheme is known 2 . We show that introduction of stochasticity makes the problem strongly NP‐hard, implying that the existence of such a scheme for the stochastic problem is highly unlikely. For the general case a heuristic with a worst‐case performance ratio that increases in the number of scenarios is presented. Restricting the class of problem instances in a way that many reasonable practical problem instances satisfy allows for the derivation of a heuristic with a constant worst‐case performance ratio. Worst‐case performance analysis of approximation algorithms is classical in the field of combinatorial optimization, but in stochastic programming the authors are not aware of any previous results in this direction. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

扩张状态观测器的观测误差前馈补偿设计

在"总和"扰动模型未知的前提下,针对线性扩张状态观测器跟踪时变信号精度不高的问题,设计出一种前馈观测补偿器。在分析线性扩张状态观测器观测原理的基础上,通过对扰动项的线性近似、误差系统动态响应的忽略,在时域内推导出观测静差的量化表达式,进而使用扰动微分项的估计值替代真值对观测作前馈补偿。理论分析了替代的可行性,证明了补偿器减小观测误差幅值、超前校正观测相位滞后的作用。将这一补偿思想推广至非线性扩张状态观测器中。通过仿真对补偿器提高观测精度、加快误差收敛的有效性进行检验,实验结果进一步表明,补偿器的引入能显著提高整个自抗扰控制系统的控制精度,从而证明了这种补偿思路的可行性。     

论微分方程中的两个不等式

对于具有无限时滞中立型泛函微分方程,以空间为相空间,讨论了方程解的性质,得到了关于解的两个重要不等式。     

态势估计中的二维模糊空间知识处理

空间推理是态势估计中的一个重要组成部分。针对海战态势估计的要求,建立了模糊确定性下二维空间点、区域,以及几种对态势估计中常用的空间关系的数学模型和用来确定空间关系的计算方法。     

一种提高应用层组播转发速率的机制

针对应用层组播报文转发的特点,提出了一种能够提高应用层组播转发速率的新机制.该机制降低了应用层组播报文从主机内存到网卡缓冲区之间数据复制的次数,节省了CPU处理开销.理论分析表明该机制能够降低应用层组播延迟和提高应用层组播转发速率.实验验证了该机制的可行性与有效性.     

时延分布式控制系统的Truetime仿真分析

针对航空发动机分布式控制系统的时延问题,应用Matlab的Truetime工具箱,设计了控制系统仿真分析平台,分析了时延对系统稳定性的影响。首先针对一类应用状态反馈的控制系统,分析了存在传感器到控制器单侧时延的情况下,系统保持稳定的充分条件。在此基础上,以某型航空发动机为例,基于Truetime工具箱设计了分布式控制仿真系统,分析了不同的时延条件对系统稳定性的影响。仿真结果与理论分析结果一致,证明了系统的有效性。     

具连续分布滞量的二阶中立型阻尼偏微分方程解的振动准则

研究一类具有阻尼项和连续分布滞量的二阶中立型偏微分方程解的振动性,通过利用Riccati变换,引入一类Φ(t,s,l)型的新函数,获得该类方程在Robin,Dirichlet边值条件下振动的充分判据.     

基于步进频率正交信号的星载MIMO-GMTI雷达空时频处理研究

多发多收(MIMO)体制雷达综合采用多通道、多频技术,为解决星载GMTI面临的探测慢速运动目标和消除盲速估计等问题提供了有效途径。MIMO雷达工作的基础是有效的波形设计。因此,在分析正交波形性能的基础上,结合GMTI应用需求,建立了星载MIMO雷达步进频率正交信号的基本参数确定准则,研究了步进频率MIMO雷达空时频联合自适应处理的基本原理,通过仿真验证了MIMO雷达在杂波抑制和GMTI性能上的优势。