磁通密度反馈在磁悬浮系统中的应用

对于磁悬浮列车的悬浮控制,如果取悬浮间隙、电磁铁速度以及电流为状态变量进行反馈控制,在实验中控制参数的稳定区间较小,不易寻找控制参数的稳定区间,而且控制参数之间的影响比较严重;采用悬浮间隙、电磁铁速度以及磁通密度作为状态变量进行反馈控制的方法可以解决上述问题,便于实际的调试工作.仿真结果证明了第二种方法的有效性.     

《连续系统建模》的计算机辅助学习与考核系统

本文介绍了一个用于《连续系统建模》学习与考核的计算机辅助教学课件的功能和设计原理,重点介绍了系统动力学模型图的知识表达和建模行为的有效性度量的方法。     

反函数的导数定理的一个注记

给出反函数的导数定理的改进形式:若f(x),x∈(a,b)与φ(y),y(A,B)互为反函数,x0∈(a,b),y0=f(x0),φ(y)在点y0处可导且φ′(y)≠0,f(x)在点x0处连续,则f(x)在点x0处可导,且f′(x0)=1/φ′(y0).并说明,f(x)在点x0处连续这一条件不可去掉。     

Production‐inventory systems with imperfect advance demand information and updating

We consider a supplier with finite production capacity and stochastic production times. Customers provide advance demand information (ADI) to the supplier by announcing orders ahead of their due dates. However, this information is not perfect, and customers may request an order be fulfilled prior to or later than the expected due date. Customers update the status of their orders, but the time between consecutive updates is random. We formulate the production‐control problem as a continuous‐time Markov decision process and prove there is an optimal state‐dependent base‐stock policy, where the base‐stock levels depend upon the numbers of orders at various stages of update. In addition, we derive results on the sensitivity of the state‐dependent base‐stock levels to the number of orders in each stage of update. In a numerical study, we examine the benefit of ADI, and find that it is most valuable to the supplier when the time between updates is moderate. We also consider the impact of holding and backorder costs, numbers of updates, and the fraction of customers that provide ADI. In addition, we find that while ADI is always beneficial to the supplier, this may not be the case for the customers who provide the ADI. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Inventory control in divergent supply chains with time‐based dispatching and shipment consolidation

This article analyses a divergent supply chain consisting of a central warehouse and N nonidentical retailers. The focus is on joint evaluation of inventory replenishment and shipment consolidation effects. A time‐based dispatching and shipment consolidation policy is used at the warehouse in conjunction with real‐time point‐of‐sale data and centralized inventory information. This represents a common situation, for example, in various types of vendor managed inventory systems. The main contribution is the derivation of an exact recursive procedure for determining the expected inventory holding and backorder costs for the system, under the assumption of Poisson demand. Two heuristics for determining near optimal shipment intervals are also presented. The results are applicable both for single‐item and multiitem systems. © 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 59–71, 2011     

A combination of Lagrangian relaxation and column generation for order batching in steelmaking and continuous‐casting production

This article considers the order batching problem in steelmaking and continuous‐casting production. The problem is to jointly specify the slabs needed to satisfy each customer order and group all the slabs of different customer orders into production batches. A novel mixed integer programming model is formulated for the problem. Through relaxing the order assignment constraints, a Lagrangian relaxation model is then obtained. By exploiting the relationship between Lagrangian relaxation and column generation, we develop a combined algorithm that contains nested double loops. At the inner loop, the subgradient method is applied for approximating the Lagrangian dual problem and pricing out columns of the master problem corresponding to the linear dual form of the Lagrangian dual problem. At the outer loop, column generation is employed to solve the master problem exactly and adjust Lagrangian multipliers. Computational experiments are carried out using real data collected from a large steel company, as well as on large‐scaled problem instances randomly generated. The results demonstrate that the combined algorithm can obtain tighter lower bound and higher quality solution within an acceptable computation time as compared to the conventional Lagrangian relaxation algorithm. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

带有状态滞后的连续广义系统的鲁棒正实控制﹡

对带有状态滞后的连续广义系统的严格正实性进行了分析,得出了这类系统渐近稳定且严格正实的充分条件,该充分条件与滞后无关。进一步地,对这类系统带有不确定性和控制量的情况进行了研究。提出了一种基于线性状态反馈控制的鲁棒正实控制器设计方法,使得控制器设计可以通过求解线性矩阵不等式方便地加以解决,且保证了闭环系统的严格正实性。最后,通过实例分析说明所提出的鲁棒正实控制器设计方法是可行的、有效的。     

某型飞机侧向通道EA/QFT鲁棒控制

提出了一种MIMO定量反馈理论与特征值配置相结合的鲁棒解耦控制方法,该方法首先利用特征值配置使系统达到性能指标要求,通过对特征向量的限制实现MIMO系统解耦,然后利用QFT方法使其具备鲁棒性.通过对某型飞机侧向通道的仿真表明:该方法不仅解耦效果良好,而且具有较强的鲁棒性.     

基于李亚普诺夫最优反馈控制的中制导

基于李亚普诺夫最优反馈控制的2种实现方法,即时间最速下降法与空间最速下降法,提出了一种混合策略。应用于导弹中制导,获得了满意的结果,可以极大地缩短中制导飞行时间并大幅度地提高中制导末端速度。仿真结果表明,该方法有一定的工程应用参考价值。     

On‐line parameter estimation for a partially observable system subject to random failure

In this paper, we study the on‐line parameter estimation problem for a partially observable system subject to deterioration and random failure. The state of the system evolves according to a continuous time homogeneous Markov process with a finite state space. The system state is not observable, except for the failure state. The information related to the system state is available at discrete times through inspections. A recursive maximum likelihood (RML) algorithm is proposed for the on‐line parameter estimation of the model. The RML algorithm proposed in the paper is considerably faster and easier to apply than other RML algorithms in the literature, because it does not require projection into the constraint domain and calculation of the gradient on the surface of the constraint manifolds. The algorithm is illustrated by an example using real vibration data. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006