边缘化粒子概率假设密度滤波的多目标跟踪

针对复杂情况下的多目标跟踪问题,提出一种边缘化粒子概率假设密度滤波(MPF-PHD)方法。该方法首先将复杂情况下多个目标的状态向量分别提取出其中的非线性状态与线性状态。然后利用粒子概率假设密度滤波(PF-PHD)估计非线性状态,利用卡尔曼滤波(KF)估计线性状态,并把其中与非线性状态相关的线性状态估计用来优化非线性状态估计。通过对MPF-PHD方法与传统的PF-PHD方法仿真对比,验证了MPF-PHD方法有效解决了复杂情况下多目标跟踪的漏检问题,提高了多目标状态估计精度。     

Balancing perfectly periodic service schedules: An application from recycling and waste management

A national recycling and waste management company provides periodic services to its customers from over 160 service centers. The services are performed periodically in units of weeks over a planning horizon. The number of truck‐hours allocated to this effort is determined by the maximum weekly workload during the planning horizon. Therefore, minimizing the maximum weekly workload results in minimum operating expenses. The perfectly periodic service scheduling (PPSS) problem is defined based on the practices of the company. It is shown that the PPSS problem is strongly NP‐hard. Attempts to solve large instances by using an integer programming formulation are unsuccessful. Therefore, greedy BestFit heuristics with three different sorting schemes are designed and tested for six real‐world PPSS instances and 80 randomly generated data files. The heuristics provide effective solutions that are within 2% of optimality on average. When the best found BestFit schedules are compared with the existing schedules, it is shown that operational costs are reduced by 18% on average. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 160–171, 2012     

幂函数型完全非线性函数原像分布的特征

完全非线性函数是特征为奇数的有限域上抗差分密码攻击最优的函数,目前已有的六类完全非线性函数都是2-1的。当Π(x)为Fqm上的Dembowski-Ostrom函数或者Coulter-Matthews函数时,从Fqm到Fq的完全非线性函数tr(aΠ(x))的原像分布恰有两种取值,其中一种取值对应Fqm所有平方剩余元,另一种取值对应Fqm所有非平方剩余元。该结论在文中得到了证明。     

一类非线性反应扩散控制系统解的整体存在性

研究一类非线性反应扩散控制系统,采用对偶性技巧及Holder不等式方法,得到在Dirichlet边界条件下解的整体存在性.     

加权采样的序列蒙特卡罗滤波技术

在处理非线性滤波问题时,常用的几种通过模型近似或计算近似的滤波方法均在某种特定的情况下具有适用性.近年来随着计算机处理能力的快速发展,提出了序列蒙特卡罗滤波方法,因其在处理复杂的非线性和非高斯问题时表现出强大的潜力而引起广泛关注.详述了序列蒙特卡罗滤波算法的基本思想和原理,对其关键技术进行了归纳分析,并指出了该方法亟待解决的一些难点问题.     

基于反馈线性化的EMS型磁浮列车非线性悬浮控制器设计

悬浮系统控制技术是EMS型磁浮列车的关键技术之一。针对悬浮系统的非线性特征,设计了一种非线性悬浮控制器。在合理假设的基础上,建立了EMS型磁浮列车悬浮系统的非线性数学模型;通过反馈线性化将该非线性模型精确线性化,得到等价的线性模型,采用状态反馈的方法设计了非线性控制器。仿真结果表明,该非线性控制器的控制性能明显优于传统的局部近似线性化方法设计的控制器,对间隙干扰和负载干扰具有鲁棒性。     

Basic scheduling problems with raw material constraints

One of the achievements of scheduling theory is its contribution to practical applications in industrial settings. In particular, taking finiteness of the available production capacity explicitly into account, has been a major improvement of standard practice. Availability of raw materials, however, which is another important constraint in practice, has been largely disregarded in scheduling theory. This paper considers basic models for scheduling problems in contemporary manufacturing settings where raw material availability is of critical importance. We explore single scheduling machine problems, mostly with unit or all equal processing times, and L_max and C_max objectives. We present polynomial time algorithms, complexity and approximation results, and computational experiments. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

基于多目标优化的液体火箭发动机减损与延寿控制

着重分析了减损与延寿控制律的综合过程,提出其基于多目标优化方法的理论基础。在建立某型液体火箭发动机系统动力学模型、关键部件之涡轮叶片的结构分析模型及其材料损伤模型的基础上,分析了应用非线性规划法求解减损与延寿控制律的过程。对发动机起动过程实施减损与延寿控制,结果表明在系统性能略微损失的情况下,可以较大幅度地减小涡轮叶片的损伤,从而达到延长发动机工作寿命的目的。     

Signal‐to‐interference‐plus‐noise ratio estimation for wireless communication systems: Methods and analysis

The Signal‐to‐Interference‐plus‐Noise Ratio (SINR) is an important metric of wireless communication link quality. SINR estimates have several important applications. These include optimizing the transmit power level for a target quality of service, assisting with handoff decisions and dynamically adapting the data rate for wireless Internet applications. Accurate SINR estimation provides for both a more efficient system and a higher user‐perceived quality of service. In this paper, we develop new SINR estimators and compare their mean squared error (MSE) performance. We show that our new estimators dominate estimators that have previously appeared in the literature with respect to MSE. The sequence of transmitted bits in wireless communication systems consists of both pilot bits (which are known both to the transmitter and receiver) and user bits (which are known only by the transmitter). The SINR estimators we consider alternatively depend exclusively on pilot bits, exclusively on user bits, or simultaneously use both pilot and user bits. In addition, we consider estimators that utilize smoothing and feedback mechanisms. Smoothed estimators are motivated by the fact that the interference component of the SINR changes relatively slowly with time, typically with the addition or departure of a user to the system. Feedback estimators are motivated by the fact that receivers typically decode bits correctly with a very high probability, and therefore user bits can be thought of as quasipilot bits. For each estimator discussed, we derive an exact or approximate formula for its MSE. Satterthwaite approximations, noncentral F distributions (singly and doubly) and distribution theory of quadratic forms are the key statistical tools used in developing the MSE formulas. In the case of approximate MSE formulas, we validate their accuracy using simulation techniques. The approximate MSE formulas, of interest in their own right for comparing the quality of the estimators, are also used for optimally combining estimators. In particular, we derive optimal weights for linearly combining an estimator based on pilot bits with an estimator based on user bits. The optimal weights depend on the MSE of the two estimators being combined, and thus the accurate approximate MSE formulas can conveniently be used. The optimal weights also depend on the unknown SINR, and therefore need to be estimated in order to construct a useable combined estimator. The impact on the MSE of the combined estimator due to estimating the weights is examined. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

地球静止轨道航天器绕飞持续观测任务轨迹规划与控制

针对地球静止轨道(geosynchronous orbit, GEO)航天器的高清观测任务,成像卫星在连续小推力作用下接近GEO航天器,对GEO航天器自然绕飞并以有利的光照条件对其持续观测。针对Clohessy-Wiltshire (CW)方程的偏差问题,通过修正非球形摄动和重力加速度二次长期项偏差对CW方程进行改进,补偿非线性偏差的长期项和主要的摄动项。在轨迹规划问题上,计算绕飞轨迹的初始相位角区间,以保证成像卫星在整个绕飞任务中都能够以良好的观测角观测GEO航天器。基于CW方程和改进的CW方程对成像卫星接近和绕飞GEO航天器全过程进行仿真,基于CW方程的仿真没有达到预期目标;基于改进的CW方程的仿真达到预期目标,全过程所需施加的总速度增量仅为4.67 m/s,工程上具有很强的可行性。