一种基于最小二乘支持向量机的预测控制算法

针对工业过程中普遍存在的非线性被控对象，提出一种基于最小二乘支持向量机建模的预测控制算法．首先，用具有RBF核函数的LS-SVM离线建立被控对象的非线性模型；然后，在系统运行过程中，将离线模型在每一个采样周期关于当前采样点进行线性化，并用广义预测算法实现对被控系统的预测控制．仿真结果表明了该算法的有效性和优越性．     

八节点四边形等参元非线性有限元分析

应用几何非线性有限元方法 ,研究了大变形问题中的纸张力学特性 ,采用修正的拉格朗日格式 ,推导了八节点四边形等参元用于非线性问题分析时的增量平衡方程 ,并编写了有关有限元计算程序 .应用该程序 ,对纸张在悬臂状态及自重作用下的静变形、无阻尼动态响应以及有阻尼动态响应分别进行计算 ,并与日本理光公司提供的试验数据以及MARC的计算结果进行比较 ,证实了该方法对于纸张的非线性力学特性的分析是有效的 ,可以为办公设备的合理设计提供科学依据     

基于支持向量机的非线性预测控制技术

探讨了利用支持向量机进行非线性系统辨识的方法,并将支持向量机模型应用到非线性预测控制,提出了基于支持向量机模型的非线性预测控制算法.对一个CSTR反应器的仿真表明,支持向量机在小样本情况下具有良好的非线性建模能力和泛化能力.基于支持向量机的预测控制具有很好的控制性能,为通用非线性控制提供了一种新的控制思路.􀁽     

人口经济动力学与CGE模型仿真

用通用数学建模系统软件GAMS建立了一个可以用于中长期预测和政策模拟的可计算一般均衡(CGE)模型系统.本系统由人口增长模型、生产模型和消费与储蓄模型组成.利用各个模型间的综合平衡关系和模型的动态反馈结构,将人口增长模型的输出作为外生变量,工资替代率和退休年龄作为控制变量,研究了按照中国人口老龄化的速度和依然运行传统的社会保障体系将会给国民经济和人民生活水平带来的影响,并探索了现有养老金系统改革可能达到的经济与社会效益.     

一类带不确定输入动态非线性系统的鲁棒H∞控制

研究一类带不确定输入动态非线性系统的H∞控制问题.在输入动态存在的条件下, 利用反传设计方法构造了鲁棒状态反馈控制器,使得闭环系统在零初始状态下从干扰到输出的 L2增益任意小,同时在干扰输入恒为零时闭环系统是全局渐近稳定的.     

Dynamic Modeling and Simulation of Impact in Tether Net/Gripper systems

The objective of this paper is to study the dynamic modeling andsimulation of a tether-net/gripper system during an impact, while it isbeing deployed or retrieved by a winch on a satellite orbiting aroundearth. We stick to Tether-Net system but the analysis is applicable toTether-Gripper systems too. We assume that the net is deployed from thesatellite in orbit and the motion is restricted to the orbital plane.This net captures a second satellite and tows it. The motion of atether-net system can be broken down into the following phases: (i)Phase 1: Net is shot out from the satellite with the tether completelyslack, (ii) Phase 2: Net comes to a location where the tether is tautwhile the drum on the orbiter is locked, (iii) Phase 3: Drum is unlockedand the net moves with the tether, (iv) Phase 4: Net captures a body.The continua (tether) is modeled using mode functions and coordinates.The theory of impulse and momentum can be used to model Phases 1, 2, and4 of motion of the tether-net system. The dynamics of the motion of thesystem in phase 3 is characterized by differential and algebraicequations (DAEs). Matlab ODE solvers were used to solve these DAEs.     

An Attempt at the Classification of Energy Decaying Schemes for Structural and Multibody Dynamics

This paper analyzes the formulation of energy preserving/decaying schemes for dynamics problems. We argue that any energy preserving/decaying scheme can always be seen as composed of an underlying temporal discretization, that is then slightly modified in order to prove a discrete energy bound within a time step. While the details of the modified scheme depend in a critical way on the governing equations, the underlying discretization can in principle be applied to a variety of models. We review some of the temporal underlying schemes recently proposed in the literature, presenting them with a common notation. We show their similarities and highlight their differences.     

Nonlinear Inverse Boundary-Value Problems of Conformal Mapping with a Controlling Potential

Some characteristic cases of formation of an ideal flow are described depending on preset values of controlling potential. Based on the modified G. Polozhii's method of summary mappings, the characteristic function of the flow is obtained. Examples of construction of a dynamic grid, field of velocities, and formation of different flows are given. Types of key problems of finding the values of controlling potential, which provide optimization of definite functionals are defined. An example of solution to one of them is presented.     

黄土湿陷性与物性关系的研究

黄土的湿陷性为黄土的主要工程地质问题 ,本文通过对黄土的物性指标进行主成分分析 ,得出 1个在总方差中占的比例最大的综合指标Y1,然后对综合指标Y1和自重湿陷系数δzs进行非线性回归 ,进而确定黄土湿陷性与物性关系。     

多级旋转式倒立摆的建模与分析

运用刚体的动力学知识对多级旋转式倒立摆系统进行了动力学分析,归纳其规律性,并推导出旋臂及各级摆杆的运动微分方程,从而获得任意级旋转式倒立摆的非线性数学模型。文中还对旋转式倒立摆系统进行了能控性分析。最后利用MATLAB对一级、二级旋转式倒立摆的控制进行了仿真,并得到较好的仿真结果。