LINEARIZATION RELAXATION PROCEDURE FOR A KIND OF N-DIMENSIONAL NONLINEAR OPTIMIZATION PROBLEM

Ｄ ＯＦ Ｎ－ＤＩＭＥＮＳＩＯＮＡＬ ＮＯＮＬＩＮＥＡＲ ＯＰＴＩＭＩＺＡＴＩＯＮ ＰＲＯＢＬＥＭTX＠徐飞＠王浣尘ＩｎｔｒｏｄｕｃｔｉｏｎＩｔｉｓｄｅｓｉｒａｂｌｅｔｏｒｅｐｌａｃｅｎｏｎｌｉｎｅａｒｐｒｏｂｌｅｍｓｗｉｔｈｌｉｎｅａｒａｐｐｒｏｘｉｍａｔ...     

机车控制系统数学模型的研究

分析了电传动内燃机车控制系统结构及电机转速的变化，电机磁路的饱和，电枢反应对模型参数的影响；建立了内燃机车控制系统的数学模型结构，并通过实验数据获得模型参数，解决了系统线性化问题。     

铂电阻数字测温仪表的最佳设计方案

提出了铂电阻数字测温仪表的最佳设计方案,分析了铂热电阻传感器的非线性特性;论证了现有的线性化方法的利弊,确定了采用非线性A/D转换器实现线性化补偿的设计方案;详细介绍了在-200℃～850℃范围内任意量程的最佳线性化参数及最大非线性化误差的计算方法;给出了具有三线制导线电阻消除功能的仪表完整的设计原理图及整机调试方法.该设计方案整机稳定性好,线路简单易行,调试方便,线性化精度高,不需要基准电压源,适用于全范围内任意量程的仪表,最大限度地降低了铂电阻数字测温仪表的元器件成本和调试成本,另外,同一个线路板,可用于铜电阻数字测温仪表.该设计方案具有很高的推广应用价值.     

基于联合粒子滤波的系统误差修正方法

在非线性滤波系统中,线性化误差和系统误差是影响滤波精度的两个主要因素.提出联合粒子滤波方法,在减少线性化误差的同时,能够实时估计系统误差的大小并自适应地消除其影响.说话人跟踪仿真实验结果验证了此方法的有效性.     

热敏电阻特性的线性化方法

讨论几种负温度系数(NTC)热敏电阻特性的线性化方法。首先,论文中会介绍一些关于NTC热敏电阻的理论知识和特性曲线。然后,会介绍几种模拟线性化方法。最后,电阻模式线性化和桥梁网络线性化方法将被详细讨论并在软件LTSpice和MATLAB上分别进行模拟,通过实验模拟来验证这两种线性化的实际效果,并进行比较。     

Control of a hydraulically actuated continuously variable transmission

Vehicular drivelines with hierarchical powertrain control require good component controller tracking, enabling the main controller to reach the desired goals. This paper focuses on the development of a transmission ratio controller for a hydraulically actuated metal push-belt continuously variable transmission (CVT), using models for the mechanical and the hydraulic part of the CVT. The controller consists of an anti-windup PID feedback part with linearizing weighting and a setpoint feedforward. Physical constraints on the system, especially with respect to the hydraulic pressures, are accounted for using a feedforward part to eliminate their undesired effects on the ratio. The total ratio controller guarantees that one clamping pressure setpoint is minimal, avoiding belt slip, while the other is raised above the minimum level to enable shifting. This approach has potential for improving the efficiency of the CVT, compared to non-model based ratio controllers. Vehicle experiments show that adequate tracking is obtained together with good robustness against actuator saturation. The largest deviations from the ratio setpoint are caused by actuator pressure saturation. It is further revealed that all feedforward and compensator terms in the controller have a beneficial effect on minimizing the tracking error.     

Norm approximation method for handling traffic count inconsistencies in path flow estimator

Path flow estimator (PFE) is a one-stage network observer proposed to estimate path flows and hence origin–destination (O–D) flows from traffic counts in a transportation network. Although PFE does not require traffic counts to be collected on all network links when inferring unmeasured traffic conditions, it does require all available counts to be reasonably consistent. This requirement is difficult to fulfill in practice due to errors inherited in data collection and processing. The original PFE model handles this issue by relaxing the requirement of perfect replication of traffic counts through the specification of error bounds. This method enhances the flexibility of PFE by allowing the incorporation of local knowledge, regarding the traffic conditions and the nature of traffic data, into the estimation process. However, specifying appropriate error bounds for all observed links in real networks turns out to be a difficult and time-consuming task. In addition, improper specification of the error bounds could lead to a biased estimation of total travel demand in the network. This paper therefore proposes the norm approximation method capable of internally handling inconsistent traffic counts in PFE. Specifically, three norm approximation criteria are adopted to formulate three L_p-PFE models for estimating consistent path flows and O–D flows that simultaneously minimize the deviation between the estimated and observed link volumes. A partial linearization algorithm embedded with an iterative balancing scheme and a column generation procedure is developed to solve the three L_p-PFE models. In addition, the proposed L_p-PFE models are illustrated with numerical examples and the characteristics of solutions obtained by these models are discussed.     

基于三自由度的智能汽车模糊滑模横向运动控制研究

针对智能汽车运动过程中存在的车身姿态变化问题以及运动控制精度问题,设计了一种基于非线性3自由度动力学模型的模糊滑模横向运动控制器。建立了包括侧倾运动的3自由度动力学模型,进行了模型线性化;对基于线性化处理后的动力学模型进行了滑模控制器设计,通过控制前轮转角实现了路径跟踪横向控制,并引入了模糊控制提高控制效果,本控制系统能够在跟踪过程中对车身姿态变化进行观察。仿真结果表明,搭建的基于3自由度动力学模型的模糊滑模控制器能够在考虑侧倾运动的基础上,实现路径跟踪,且构建的模糊滑模控制系统相较于传统滑模控制其横向偏差与方向偏差分别降低了7.28%和1.50%,同时模糊控制也减弱了滑模控制固有的抖振影响。     

A nonlinear model reference adaptive inverse control algorithm with pre-compensator

In this paper, the reduced-order modeling （ROM） technology and its corresponding linear theory are expanded from the linear dynamic system to the nonlinear one, and H∞ control theory is employed in the frequency domain to design some nonlinear system＇ s pre-compensator in some special way. The adaptive model inverse control （AMIC）theory coping with nonlinear system is improved as well. Such is the model reference adaptive inverse control with pre-compensator （PCMRAIC）. The aim of that algorithm is to construct a strategy of control as a whole. As a practical example of the application, the nunlerical simulation has been given on matlab software packages. The numerical result is given. The proposed strategy realizes the linearization control of nonlinear dynamic system. And it carries out a good performance to deal with the nonlinear system.     

Equivalent stochastic linearization for nonlinear uncertain structure under stationary Gaussian stochastic excitation

Equivalent stochastic linearization （ESL） for nonlinear uncertain structure under stationary stochastic excitation is presented. There are two parts of difference between the original system and equivalent system： one is caused by the difference between the means of original and equivalent stochastic structure; and another is caused by the difference between the original and equivalent stochastic structure which has the relation with stochastic variables. Statistical characteristics of equivalent stochastic structure can be obtained in accordance with mean square criterion, so nonlinear stochastic structure is transformed into linear stochastic structure. In order to attain that objective, the compound response spectrum of linear stochastic structure under stationary random excitation which is used in the solution is derived in the case of the mutual independence between stochastic excitation and stochastic structure. Finally, the example shows the accuracy and validity of the proposed method.