状态空间表达下控制系统的稳态误差

经典控制理论对系统稳态误差的讨论从传递函数入手,重点是对系统开环传递函数的研究,当系统的输入是任意函数时,引入动态误差系数方法来研究稳态误差,但是当输入具有高阶导数时,动态误差系数将很难得到.现代控制理论中的状态空间表达下求系统的稳态误差很好地解决了这个问题.利用矩阵之间的运算来表示动态误差系数,并且可以得到任意输入下的稳态误差值,在线性定常系统下的推导结果还可以适用于线性时变系统,具有一定的普遍性.     

一种变质心高速旋转炮弹鲁棒姿态控制律

针对采用变质心技术的高速旋转炮弹的姿态控制问题,提出一种基于扩张状态观测器的动态面控制方法。根据由弹体和单滑块组成的多体系统的特点,建立了系统的姿态动力学模型,并对其进行了合理的简化。将系统的滚转通道引起的强耦合、建模误差及外部扰动等视为未知不确定干扰,并且考虑由于炮弹尺寸限制而引起的多体系统控制输入(滑块位移)的有限性,设计了扩张状态观测器和辅助系统,分别对系统的干扰进行观测以及处理控制输入的有限性,综合动态面控制技术设计了姿态控制律,最后基于李雅普诺夫稳定性原理证明了控制器的稳定性。仿真结果表明,该控制器能够在克服干扰的前提下快速稳定地跟踪指令信号,具有良好的控制精度和鲁棒性。     

备件冷储备方案下装备群任务可靠性建模

针对具有相同结构功能的装备群系统可靠性评估问题,根据任务周期内对装备完好数的要求,合理表示了系统状态转移过程。以部件任务期间状态变化为研究对象,将系统等效表示为多阶段任务系统,即串行k/N(G)系统。在确定系统可行状态过程基础上,分别建立了部件寿命分布在3种不同情形下的系统任务可靠性模型,并分析了备件冷储备方案的影响。为确定系统任务期间备件携带量提供决策支持,最后给出了一个应用实例。     

Generalizing the survival signature to unrepairable homogeneous multi‐state systems

The notion of signature has been widely applied for the reliability evaluation of technical systems that consist of binary components. Multi‐state system modeling is also widely used for representing real life engineering systems whose components can have different performance levels. In this article, the concept of survival signature is generalized to a certain class of unrepairable homogeneous multi‐state systems with multi‐state components. With such a generalization, a representation for the survival function of the time spent by a system in a specific state or above is obtained. The findings of the article are illustrated for multi‐state consecutive‐k‐out‐of‐n system which perform its task at three different performance levels. The generalization of the concept of survival signature to a multi‐state system with multiple types of components is also presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 593–599, 2017     

The probability of the existence of a feasible flow in a stochastic transportation network

Stochastic transportation networks arise in various real world applications, for which the probability of the existence of a feasible flow is regarded as an important performance measure. Although the necessary and sufficient condition for the existence of a feasible flow represented by an exponential number of inequalities is a well‐known result in the literature, the computation of the probability of all such inequalities being satisfied jointly is a daunting challenge. The state‐of‐the‐art approach of Prékopa and Boros, Operat Res 39 (1991) 119–129 approximates this probability by giving its lower and upper bounds using a two‐part procedure. The first part eliminates all redundant inequalities and the second gives the lower and upper bounds of the probability by solving two well‐defined linear programs with the inputs obtained from the first part. Unfortunately, the first part may still leave many non‐redundant inequalities. In this case, it would be very time consuming to compute the inputs for the second part even for small‐sized networks. In this paper, we first present a model that can be used to eliminate all redundant inequalities and give the corresponding computational results for the same numerical examples used in Prékopa and Boros, Operat Res 39 (1991) 119–129. We also show how to improve the lower and upper bounds of the probability using the multitree and hypermultitree, respectively. Furthermore, we propose an exact solution approach based on the state space decomposition to compute the probability. We derive a feasible state from a state space and then decompose the space into several disjoint subspaces iteratively. The probability is equal to the sum of the probabilities in these subspaces. We use the 8‐node and 15‐node network examples in Prékopa and Boros, Operat Res 39 (1991) 119–129 and the Sioux‐Falls network with 24 nodes to show that the space decomposition algorithm can obtain the exact probability of these classical examples efficiently. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 479–491, 2016     

基于集对分析的军用车辆修理社会化保障效益评价

在构建效益评价指标体系基础之上,基于集对分析思想提出了一种军用车辆修理社会化保障效益评价新方法,并结合实例对评价模型进行了检验,结果客观、合理。     

基于计算机三维建模技术的两栖车辆静水性能计算

为了解决传统静水性能计算中倾斜浮态下浮心计算困难的问题,建立了两栖车辆的三维实体模型,研究了任意浮态下浮心的计算方法。在此基础上,求解了两栖车辆在静水平衡时的浮态,并利用SolidWorks提供的API函数进行二次开发,实现了计算的自动化。经实例验证表明,该算法准确、快速。     

Lipschitz非线性系统状态观测器设计新方法

针对Lipschitz非线性系统状态观测器,提出了一种以极小化条件数为目标准则的新的设计方法。运用梯度下降法和Slyvester方程,计算极小化条件数,优化增益矩阵和最大允许Lipschitz常数,完成观测器设计。通过同其它文献的算例比较,结果发现按文中方法设计的观测器具有迭代次数少、优化结果好的特点。     

基于压缩估计的单星观测定轨方法

分析了单星观测模式下的天基测控系统的可行性,并针对该观测模式下轨道确定中法矩阵的特点,提出了一种基于压缩估计的定轨方法,对法矩阵进行压缩变换,避免了法矩阵奇异造成的误差传递。证明了当满足一定条件时,该压缩方法的估计精度要高于传统的定轨方法。结合单星观测的特殊性,提出了误差传递因子,设计了单星观测下的压缩估计定轨算法。最后以单星模式下的天基测控系统作为仿真背景进行了仿真试验。结果表明,该压缩估计可有效提高单星观测模式下轨道确定的精度。     

PHEV电池电荷状态估计设计及仿真

电池管理系统(battery management system,BMS)是混合动力汽车(parallel hybrid electric vehicle,PHEV)能量管理系统中的核心组成部分,而其中电池电荷状态(state of charge,soc)则是PHEV控制策略中的重要参数.针对PHEV动力电池组SOC系统高度非线性和复杂性的特点,提出了一种基于改进的BP神经网络的HEV动力电池组的实时SOC估计,并对网络的收敛性进行了证明.利用大量PHEV动力电池组在行驶过程中充放电的数据样本,对神经网络进行网络训练并且进行仿真.结果表明,与传统离线SOC估计方法相比,能够有效地减小误差,提高电池SOC的精度.