An iterative method for suboptimal control of linear time-delayed systems

This article presents a new approach for solving the Optimal Control Problem (OCP) of linear time-delay systems with a quadratic cost functional. The proposed method can also be used for designing optimal control time-delay systems with disturbance. In this study, the Variational Iteration Method (VIM) is employed to convert the original Time-Delay Optimal Control Problem (TDOCP) into a sequence of nonhomogeneous linear two-point boundary value problems (TPBVPs). The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoint vector sequence. The feedback term is determined by solving Riccati matrix differential equation. By using the finite-step iteration of a nonlinear compensation sequence, we can obtain a suboptimal control law. Finally, Illustrative examples are included to demonstrate the validity and applicability of the technique.     

求非线性方程近似解的逐次迭代法

本文提出了求解非线性问题的一种新方法——逐次迭代法，本方法先是给出一个初始近似解，然后将这个近似解进行校正迭代，使之接近于真实解，把一个非线性问题转化为一个线性问题来解决。     

A feasibility study of a direct-mapping parallel processing method to solve linear equations in load-flow calculation

With the growing size and complexity of power systems, system analysis—such as transients calculation—takes much time. Hence, fast calculation methods are required. Although parallel processing is a hopeful method, there have been difficulties in the parallel solution of linear equations which appear in power-flow calculations by the Newton-Raphson method. This paper aims at the fast calculation of the power-flow problem by means of parallel processing. In order to improve the suitability to the parallel solution of the differential equation in transients calculation, we assume the use of a direct-mapping parallel processing machine to map directly the network of a power system onto a network of processors. Under this assumption, we propose a new parallel-processing-oriented method in which the linear equation is solved by linear iterations between nodes with Aitken acceleration. We simulate the method on three model power systems and compare this Parallel Iterative Method (PIN) with a Parallel Direct Method (PDM) which uses the banded matrix according to the number of operations required. As a result, we can expect that PIM may solve linear equations faster than PDM with m processors, although the PIM might be inferior to the PDM with m × m processors, where m denotes the half-band width of the banded matrix.     

A time aggregation approach to Markov decision processes

We propose a time aggregation approach for the solution of infinite horizon average cost Markov decision processes via policy iteration. In this approach, policy update is only carried out when the process visits a subset of the state space. As in state aggregation, this approach leads to a reduced state space, which may lead to a substantial reduction in computational and storage requirements, especially for problems with certain structural properties. However, in contrast to state aggregation, which generally results in an approximate model due to the loss of Markov property, time aggregation suffers no loss of accuracy, because the Markov property is preserved. Single sample path-based estimation algorithms are developed that allow the time aggregation approach to be implemented on-line for practical systems. Some numerical and simulation examples are presented to illustrate the ideas and potential computational savings.     

非线性地基上桩结构物空间分析

本文提出了桩结构物－非线性地基空间相互作用分析的迭代法和非线性有限元法。其中，桩基分析用ｐ－ｙ曲线法。结合实际结构物进行了大量的计算及比较分析，成果是令人满意的，可以付诸应用。     

层状介质中重力,地震联合反演的迭代算法

本文提出一种用于层状介质中重力、地震资料联合反演层速度、层密度及弯曲界面深度的迭代算法。该方法通过引入加权最小平方目标泛函,将层状介质中的重力、地震资料联合反演问题转化成具体的优化问题。为了得到反问题的最优解,文中系统地研究了层状介质中双摄动处理技术,以及层状介质中波场摄动的一阶 Born 近似解与理论重力异常摄动解。并应用 Tarantola 的反演理论,导出了梯度算子的计算公式。然后应用最速下降法给出了求取最优解的具体算法,得到了一种类似于地震偏移与空间更投影的迭代反演方法。对理论模型进行重力、地震联合反演的结果表明,该方法不仅可碱少未知参数的个数,提高反演的收敛速度,而且可减少反演的不适定性,不失为一种可行的多参数反演方法。     

牛顿迭代法在求解物料平衡式中的应用

高炉数学模型是分析炉况、指导操作的有效工具.物料平衡是高炉生产遵循的基本理论,建立高炉数学模型中常需要建立物料平衡式计算相关数据.文章提出采用Newton迭代法来求解物料平衡式,并针对炉身模拟模型建立了物料平衡式并进行了求解.结果表明,Newton迭代法能够有效的求解物料平衡方程式,并具有易于软件实现,以及高效率、高精度的优点.     

基于特征迭代的云存储数据即时确定性删除方法

传统数据删除方法易受到云存储环境中大量近似特征的影响,产生冗余数据,导致加解密时间过长、密钥可用率较低,为此提出一种基于特征迭代的云存储数据即时确定性删除方法。首先,提取云存储数据中的冗余数据特征,对云存储下冗余数据进行分类,迭代直至收敛,实现冗余数据高性能删除;其次,采用加密机制实现云存储数据在网络用户间的安全共享,将原始数据密文切分为剩余密文和采样密文;最后,把不完整的剩余数据密文上传至云端,同时引入可信任第三方对取样密文进行保存,通过销毁取样密文实现数据即时确定性删除。实验结果表明,所提方法的数据密文拆分所用时间较短,且密钥可用率较高,可达90%,说明其方法能够有效满足云存储系统中对冗余数据或过期数据的确定性删除要求。     

Pb(Mg_(1+x)/3Nb_(2-x)/3)O_3铁电材料中有序-无序相变的理论研究

基于Kikuchi自洽迭代方法,利用有序-无序相变理论,并取最近邻相互作用近似,研究了Pb(Mg_((1+x)/2)Nb_((2-x)/2)O_3晶粒中在x=0.5时有序区形成的原因,提出Mg~(2+)∶Nb~(5+)=1∶1(离子数比)时,形成B位有序排列最为有利,并且弱的空间电荷场不影响这种有序排列的形成,同时给出了温度-组份的有序-无序相图。     

广角摄像机在机器人视觉定位中的应用

为了保证广角摄像机在现代机器人视觉定位应用中的准确性,以广角摄像机像素坐标的反畸变过程为研究对象,提出一种在畸变对应表的基础上使用中心迭代法以及区域插值法确定物体实际位置的方法。通过实验证明了该方法能够测量物体的位置,其精度能够满足工业使用要求。