Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks

A simultaneous non‐zero‐sum game is modeled to extend the classical network interdiction problem. In this model, an interdictor (e.g., an enforcement agent) decides how much of an inspection resource to spend along each arc in the network to capture a smuggler. The smuggler (randomly) selects a commodity to smuggle—a source and destination pair of nodes, and also a corresponding path for traveling between the given pair of nodes. This model is motivated by a terrorist organization that can mobilize its human, financial, or weapon resources to carry out an attack at one of several potential target destinations. The probability of evading each of the network arcs nonlinearly decreases in the amount of resource that the interdictor spends on its inspection. We show that under reasonable assumptions with respect to the evasion probability functions, (approximate) Nash equilibria of this game can be determined in polynomial time; depending on whether the evasion functions are exponential or general logarithmically‐convex functions, exact Nash equilibria or approximate Nash equilibria, respectively, are computed. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 139–153, 2017     

载人飞船逃逸飞行段姿态控制律设计

载人飞船在逃逸飞行过程中,需要对其姿态作较大幅度的调整,调整幅度可达０°～１８０°,飞船姿态的调整可以通过控制俯仰通道来完成。由于飞船姿态运动的三个通道一般是相互交连的,因此,在作姿态大幅度调整的过程中,还需要对其它两个通道进行姿态稳定。本文设计的一种相平面开关曲线和相应的姿态控制律,既可以用于飞船作大姿态调整,又可以用于姿态稳定。数字仿真结果表明,只要合理选择开关控制曲线的有关参数,可使姿态控制精度满足设计要求。     

两类临界静不稳定姿态控制系统设计

根据经典控制理论,设计了两类临界静不稳定姿态控制系统。     

基于欧拉角观测模型的航天器姿态确定方法

针对基于乘性误差四元数的EKF姿态确定技术,系统研究了姿态敏感器常用的欧拉角观测模型,从两个方面证明了目前许多文献中所构造的欧拉角误差相对于误差四元数矢部的测量灵敏度矩阵存在缺陷,从理论上剖析了这一问题的成因,并推导了正确的测量灵敏度矩阵形式,数值仿真进一步验证了本文的结论。     

The impact of exponential smoothing forecasts on the bullwhip effect

An important phenomenon often observed in supply chain management, known as the bullwhip effect, implies that demand variability increases as one moves up the supply chain, i.e., as one moves away from customer demand. In this paper we quantify this effect for simple, two‐stage, supply chains consisting of a single retailer and a single manufacturer. We demonstrate that the use of an exponential smoothing forecast by the retailer can cause the bullwhip effect and contrast these results with the increase in variability due to the use of a moving average forecast. We consider two types of demand processes, a correlated demand process and a demand process with a linear trend. We then discuss several important managerial insights that can be drawn from this research. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 269–286, 2000     

三维化学非平衡粘性激波层流场数值模拟

本文通过引进主流贴体坐标 ,将粘性激波层概念推广到三维流场 ,得到了三维粘性激波层方程 ;应用空间推进与总体迭代相结合的求解方法 ,对三维化学非平衡粘性激波层流场进行了数值模拟     

高维非线性电路平衡点稳定性研究

提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法.这种方法以矩阵分解为工具,结合平衡点的渐近稳定判据,用分解矩阵的稳定性决定平衡点的全局渐近稳定性.与目前该问题所采用的LIYAPUNOV直接法相比,该方法具有无须判断平衡点的唯一性,判别方法直接明了等优点.电路维数越大时,此方法越有其优势.同时,该方法对于其他形式的非线性系统的分析,也有重要的启发性及应用价值.     

光纤陀螺惯性导航算法及其仿真

针对角速率和比力输入时的惯性导航算法进行了深入的研究。对高动态环境下的不同的姿态更新算法进行了对比研究,提出了一种新的速度和位置更新中的转动补偿算法,它将低动态和高动态(划船效应和涡卷效应)转动效应合二为一进行修正。并对系统算法进行了计算机仿真研究,最后给出了仿真结果。     

双层气囊隔振装置多目标协同姿态控制方法

针对双层气囊隔振装置高精度姿态平衡控制需求,提出多目标协同姿态控制方法。通过建立双层隔振装置动力学模型、充放气控制等效作用力模型,建立了控制响应特性分析模型。并基于多目标满意优化方法建立了多目标协同姿态控制方法,使得双层气囊隔振装置能够较好地适应上下层气囊隔振装置姿态耦合,实现姿态平衡控制,并可有效抑制结构弹性变形对姿态平衡控制的影响。在双层气囊隔振装置上验证了该控制方法的可行性。该方法将用于某型船舶大型发电机组双层气囊隔振系统,实现双层气囊隔振装置柔性支撑状态下的姿态平衡控制。     

平方根Spherical Simplex UKF在飞船姿态估计中的应用

提出了一种用矢量观测来估计飞船姿态的平方根spherical simplex unscented卡尔曼滤波算法。该算法将spherical simplex unscented变换与unscented卡尔曼滤波结合起来,与采用scaled unscented变换的unscented卡尔曼滤波相比,具有更低的计算量。其平方根形式由于协方差阵的半正定性,拥有更好的数值稳定性。飞船的姿态运动学描述采用了四元数,而用广义罗德里格斯参数来克服卡尔曼滤波过程中的四元数归一化误差。仿真结果表明,该算法比标准扩展卡尔曼滤波具有更低的姿态估计误差及更快的收敛率。