CN102981408B - Running process modeling and adaptive control method for motor train unit - Google Patents

Running process modeling and adaptive control method for motor train unit Download PDF

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CN102981408B
CN102981408B CN201210524440.8A CN201210524440A CN102981408B CN 102981408 B CN102981408 B CN 102981408B CN 201210524440 A CN201210524440 A CN 201210524440A CN 102981408 B CN102981408 B CN 102981408B
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杨辉
张坤鹏
李中奇
付雅婷
刘杰民
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East China Jiaotong University
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Abstract

本发明公开了一种动车组运行过程建模与自适应控制方法。所述方法针对动车组运行过程复杂、信息不完备、非线性特征明显的特性,采用数据驱动的建模方法,提出了T-S双线性模型辨识方法;依据动车组实际运行图、前方线路情况、限速条件,牵引力/制动力饱和非线性特性等约束条件建立动车组约束模型;根据上述模型设计即时学习模型预测控制算法来改善多目标优化控制性能指标。本发明为动车组乘务员进行优化操纵,保证安全正点运行,改善运行舒适性,降低能源消耗提供了一套可靠的依据。本发明适用于动车组运行状态在线辨识与多目标优化控制。

The invention discloses a modeling and self-adaptive control method for the running process of an EMU. In view of the characteristics of EMU operation process complexity, incomplete information, and obvious nonlinear characteristics, the method adopts a data-driven modeling method and proposes a TS bilinear model identification method; Constraints such as speed limit conditions, traction force/braking force saturation nonlinearity and other constraints are used to establish the EMU constraint model; according to the above model, a real-time learning model predictive control algorithm is designed to improve the multi-objective optimization control performance index. The invention provides a set of reliable basis for the crew members of the EMU to optimize the operation, ensure safe and punctual operation, improve operation comfort and reduce energy consumption. The invention is suitable for on-line identification and multi-objective optimal control of the running state of the EMU.

Description

一种动车组运行过程建模与自适应控制方法A Modeling and Adaptive Control Method for EMU Running Process

技术领域     technical field

本发明涉及一种动车组运行过程建模与自适应控制方法,属动车组运行状态在线辨识与优化操纵技术领域。 The invention relates to a modeling and self-adaptive control method for the running process of a multiple train set, and belongs to the technical field of online identification and optimal manipulation of the running state of the multiple train set.

背景技术     Background technique

中国新一代高速列车,其持续运营时速可达350公里,试验时速已超过400公里,是世界上商业运营速度最快、科技含量最高、系统匹配最优的动车组。相对其他运输方式(如汽车、飞机、中低速客货运列车),动车组可以满足长距离、大运量、高密度、旅行时间短等运输需求。我国目前已经拥有全世界最大规模以及最高运营速度的高速铁路网,到2020年,将建成16000公里的高速铁路。然而,中国高速铁路网具有区别于欧洲和日本高速铁路的若干重要特征,如路网规模大,能源消耗明显增加;地理、地质、气候条件复杂多变;不同速度等级客运专线运营条件差异明显等。研究有自检测、自诊断、自决策能力的智能化动车组控制系统,实现安全可靠运行和优化操纵已成技术发展趋势。 China's new generation of high-speed trains can reach a speed of 350 kilometers per hour in continuous operation, and the test speed has exceeded 400 kilometers per hour. It is the EMU with the fastest commercial operation speed, the highest technological content, and the best system matching in the world. Compared with other modes of transportation (such as automobiles, airplanes, and medium- and low-speed passenger and freight trains), EMUs can meet transportation needs such as long distances, large volumes, high density, and short travel times. my country currently has the world's largest high-speed railway network with the highest operating speed. By 2020, 16,000 kilometers of high-speed railway will be built. However, China's high-speed railway network has some important characteristics that are different from European and Japanese high-speed railways, such as large-scale road network, significantly increased energy consumption; complex and changeable geographical, geological, and climatic conditions; and obvious differences in the operating conditions of passenger dedicated lines of different speeds, etc. . It has become a technological development trend to study intelligent EMU control systems with self-test, self-diagnosis, and self-decision-making capabilities to achieve safe and reliable operation and optimal operation.

针对动车组运行过程建模与控制问题,相关学者针对动车组动态特性建立了线性化机理模型并设计了                                                恒速控制器;提出了多质点单位移机理模型来描述动车组的动态过程,并采用模糊控制器来实现速度和位移的跟踪控制;建立了动车组牵引和制动工况非线性约束模型并设计了自适应backstepping控制器;研究了动车组不同目标速度下的能耗模型。但这些机理建模方法难以解决动车组空气动力学和手柄级位变化的非线性问题,从而可能导致系统综合评价指标降低。 Aiming at the problem of modeling and control of the EMU operation process, relevant scholars have established a linearized mechanism model for the dynamic characteristics of the EMU and designed a Constant speed controller; a multi-mass unit displacement mechanism model was proposed to describe the dynamic process of the EMU, and a fuzzy controller was used to realize the tracking control of speed and displacement; a nonlinear constraint model of EMU traction and braking conditions was established and An adaptive backstepping controller is designed; the energy consumption model of the EMU at different target speeds is studied. However, these mechanism modeling methods are difficult to solve the nonlinear problems of EMU aerodynamics and handle level changes, which may lead to a decrease in the system's comprehensive evaluation index.

在高速高密度运营条件下,人工操纵方式很难满足多目标优化要求,研究智能操纵优化算法对于提高动车组运行性能,具有重要意义。如相关学者针对动车组运行时间和能源消耗优化问题,提出基于模糊C-均值聚类分析和遗传算法优化的模糊控制模型;提出基于模糊逻辑控制的智能列车控制系统来优化动车组高速高密度运行性能;采用模型切换和优化策略来研究电动车组最小能耗操纵问题;也有学者考虑了不确定因素影响下的动车组经济操纵和准点运行的联合设计问题,采用遗传算法和模糊线性规划方法分别进行优化。然而这些方法大都以离线优化为主,不能较好地满足动车组实时优化要求。作为一种动态优化方法,非线性模型预测控制算法可以较好地解决慢时变非线性优化问题。不过由于非线性优化过程在线计算量大,直接应用在动车组运行控制中并不具有明显的优势。 Under the condition of high-speed and high-density operation, it is difficult for the manual operation method to meet the multi-objective optimization requirements. Therefore, it is of great significance to study the intelligent operation optimization algorithm for improving the operation performance of EMUs. For example, relevant scholars have proposed a fuzzy control model based on fuzzy C-means clustering analysis and genetic algorithm optimization for the optimization of EMU running time and energy consumption; proposed an intelligent train control system based on fuzzy logic control to optimize the high-speed and high-density operation of EMUs performance; model switching and optimization strategies are used to study the minimum energy consumption control problem of electric multiple units; some scholars also consider the joint design problem of economic control and punctual operation of EMUs under the influence of uncertain factors, and use genetic algorithm and fuzzy linear programming methods respectively optimize. However, most of these methods focus on off-line optimization, which cannot meet the real-time optimization requirements of EMUs well. As a dynamic optimization method, the nonlinear model predictive control algorithm can better solve the slow time-varying nonlinear optimization problem. However, due to the large amount of online calculation in the nonlinear optimization process, it does not have obvious advantages when directly applied to the operation control of EMUs.

发明内容     Invention content

本发明的目的是,针对动车组运行过程建模存在建模方法难以解决空气动力学和手柄级位变化的非线性问题,从而可能导致系统综合评价指标降低的问题;另外,基于模糊逻辑控制的智能列车控制系统来优化动车组高速高密度运行性能,还不能满足动车组实时优化要求。针对这些问题,本发明公开一种动车组运行过程建模与自适应控制方法,建立T-S双线性模型和多目标约束模型;采用基于即时学习的局部建模策略来动态校正模型参数,据此设计双线性自适应模型预测控制器进行滚动优化和闭环控制,实现动车组安全平稳、节能舒适、正点等多目标优化控制。 The purpose of the present invention is to solve the nonlinear problems of aerodynamics and handle level changes that are difficult to solve in the modeling method for the modeling of the EMU operation process, which may lead to the problem that the comprehensive evaluation index of the system is reduced; in addition, the fuzzy logic control based The intelligent train control system to optimize the high-speed and high-density operation performance of EMUs cannot meet the real-time optimization requirements of EMUs. In view of these problems, the present invention discloses a method for modeling and adaptive control of the running process of EMUs, which establishes a T-S bilinear model and a multi-objective constraint model; adopts a local modeling strategy based on real-time learning to dynamically correct model parameters, and accordingly A bilinear adaptive model predictive controller is designed for rolling optimization and closed-loop control to achieve multi-objective optimal control of EMUs such as safety and stability, energy saving and comfort, and punctuality.

实现本发明的技术方案是,本发明结合动车组动力学方程和操纵控制的特点建立T-S双线性模糊模型,并采用即时学习算法实现模型参数的自适应调整;提出了T-S双线性模型辨识方法。本发明依据动车组实际运行图、前方线路情况、限速条件,牵引力/制动力饱和非线性特性等约束条件建立动车组多目标约束模型,据此设计双线性模型预测控制器实现动车组优化运行。并根据上述模型设计即时学习模型预测控制算法来改善动车组多目标约束优化控制性能指标。即当模型输出误差在系统允许范围内时,T-S双线性模型参数无需优化;当模型输出误差超过阈值时,采用即时学习算法对模型参数进行在线校正。据此动态调整双线性模型预测控制器的参数,实现模型参数和控制器参数的同时优化,减少了双线性模型预测控制器在线计算量。整个辨识过程既可降低T-S双线性模型未建模部分和未知故障或干扰的影响,又可减少即时学习算法计算量,提高系统的多目标约束优化操纵水平。 The technical solution for realizing the present invention is that the present invention combines the dynamic equations of the EMU and the characteristics of handling control to establish a TS bilinear fuzzy model, and uses an instant learning algorithm to realize the adaptive adjustment of model parameters; the TS bilinear model identification is proposed method. The present invention establishes the multi-objective constraint model of the EMU based on constraints such as the actual operation diagram of the EMU, the situation of the front line, the speed limit condition, the traction force/braking force saturation nonlinear characteristics, and designs a bilinear model predictive controller based on this to realize the optimization of the EMU run. And based on the above model, a real-time learning model predictive control algorithm is designed to improve the multi-objective constraint optimization control performance index of the EMU. That is, when the model output error When the system is within the allowable range, the parameters of the TS bilinear model do not need to be optimized; when the model output error exceeds the threshold, the model parameters are corrected online by using an instant learning algorithm. Based on this, the parameters of the bilinear model predictive controller are dynamically adjusted, and the simultaneous optimization of model parameters and controller parameters is realized, which reduces the online calculation amount of the bilinear model predictive controller. The whole identification process can not only reduce the influence of the unmodeled part of the TS bilinear model and unknown faults or disturbances, but also reduce the calculation amount of the real-time learning algorithm, and improve the multi-objective constraint optimization control level of the system.

动车组运行过程建模与自适应控制方法步骤为: The steps of the EMU operation process modeling and adaptive control method are as follows:

(1)从动车组运行控制的基本原理出发,以操纵控制的特点和动力学方程为基础,建立描述动车组动态特性、能量消耗和运行时分的双线性模型;采用基于遗传模拟退火的FCM模糊聚类算法对采集的样本数据进行聚类分析,得到运行过程的经济控制点,为乘务员提供先验操纵优化信息;根据已经确定的模型结构确定各个模糊规则前件参数,通过递推加权最小二乘法辨识各个模糊规则后件参数,对局部每个模糊规则的动态特性进行准确描述;当模型输出误差超过预先设定的阈值时,采用基于即时学习的局部建模方法对模型参数在线校正。这样即可实现动车组运行过程多模式模型的在线估计。 (1) Starting from the basic principle of EMU operation control, based on the characteristics of the handling control and dynamic equations, a bilinear model describing the dynamic characteristics, energy consumption and running time of the EMU is established; FCM based on genetic simulated annealing is adopted The fuzzy clustering algorithm clusters and analyzes the collected sample data, obtains the economic control points of the operation process, and provides the flight attendants with prior manipulation and optimization information; determines the antecedent parameters of each fuzzy rule according to the determined model structure, and minimizes the weight by recursion The square method identifies the subsequent parameters of each fuzzy rule, and accurately describes the dynamic characteristics of each local fuzzy rule; when the model output error exceeds the preset threshold, the local modeling method based on real-time learning is used to correct the model parameters online. In this way, the online estimation of the multi-mode model of the running process of the EMU can be realized.

(2)通过建立动车组多目标约束优化模型,在上述建立的T-S双线性模型的基础上,结合非线性模型预测控制,将预测模型进行转换,设计T-S双线性自适应模型预测控制器来研究动车组优化操纵问题。 (2) By establishing the multi-objective constraint optimization model of the EMU, on the basis of the T-S bilinear model established above, combined with the nonlinear model predictive control, the predictive model is converted, and the T-S bilinear adaptive model predictive controller is designed To study the optimal maneuvering problem of EMUs.

动车组操纵控制主要包括牵引、惰行和制动三种运行工况,涉及启动,加速,恒速,惰行和制动等多种控制模式。其中牵引和制动工况下分别有多个手柄级位,如图3所示高铁乘务员所操纵的手柄。所有控车指令都是从手柄级位发出,不同手柄控制级位决定不同的控制模式。动车组不同手柄级位下的牵引特性曲线、制动特性曲线分别如图4(a)和图4(b)所示。 EMU handling control mainly includes three operating conditions of traction, coasting and braking, involving various control modes such as starting, acceleration, constant speed, coasting and braking. Among them, there are multiple handle levels under the traction and braking conditions, as shown in Figure 3, the handle operated by the high-speed train attendant. All car control commands are issued from the handle level, and different handle control levels determine different control modes. The traction characteristic curves and braking characteristic curves of the EMU at different handle levels are shown in Figure 4(a) and Figure 4(b) respectively.

本发明中动车组机理模型按以下原理和方法确定: EMU mechanism model is determined by the following principles and methods in the present invention:

从图4可以看出,动车组运行过程所需的牵引力/制动力与运行速度和手柄级位之间是多变量非线性关系: It can be seen from Figure 4 that the traction/braking force required for the operation of the EMU and running speed and handle level There is a multivariate nonlinear relationship between:

                                                (1) (1)

此外,因为不同手柄控制级位决定不同的控制模式,而密切相关,其非线性动态会呈现控制变量与状态变量相乘的现象,可将动车组运行过程等效描述为一双线性系统。 In addition, because different handle control levels determine different control modes, and and are closely related, whose nonlinear dynamics present control variables with state variable The phenomenon of multiplication can be equivalent to describe the running process of the EMU as a bilinear system.

对于动车组运行过程的双线性系统,考虑到各动力单元间的相对位移通常近似为零,各辆车速度近似相等,电分相点,坡道和曲率等是距离的函数,以距离为独立变量较为合适,则辆编组的动车组动态特性、能量消耗和运行时分可用如下的双线性模型描述: For the bilinear system in the operation process of the EMU, considering that the relative displacement between each power unit is usually approximately zero, and the speed of each vehicle is approximately equal, the electrical separation phase point, ramp and curvature are functions of distance, and the distance is Independent variables are more appropriate, then The dynamic characteristics, energy consumption and running time of the EMU can be described by the following bilinear model:

          (2) (2)

                                            (3) (3)

                                  (4) (4)

式中:为动车组等价总质量;是动车组的运行距离,系统输入是作用于动车组上的不同手柄级位下的控制力(牵引力/制动力);系统输出是速度;符号Kronecker算子,使得满足乘积关系;G为线路参数(电分相点,坡度和曲率);分别表示起点和终点的位置;为运行时分;为动车组运行过程中的能量消耗;为机械阻力系数,大小一般在左右;为空气阻力系数,大小一般在左右,当时,非线性空气阻力项在式(2)中所占比例较小。 In the formula: is the equivalent total mass of the EMU; is the running distance of the EMU, and the system input is the control force acting on the EMU at different handle levels (traction effort/braking effort); system output is speed ;symbol Kronecker operator such that and Satisfy the product relationship; G is the line parameter (electrical separation phase point, slope and curvature); and represent the start and end positions, respectively; is the running time; is the energy consumption during the operation of the EMU; is the coefficient of mechanical resistance, generally in the about; is the air resistance coefficient, generally in the around when , the nonlinear air resistance term The proportion in formula (2) is small.

为了简化列车运行过程建模与控制器设计,许多工程应用和研究者忽略其影响。如在不考虑非线性空气阻力的情况下,相关研究者设计了模糊PID增益控制器来调节地铁列车运行速度;采用自适应优化控制算法来解决地铁列车运行管理和节能优化问题;针对中低速重载货运列车动力学模型的速度控制分别提出了开环启发式优化策略和基于启发式算法的闭环LQR控制算法。但当时,非线性空气阻力项在式(2)中所占比例越来越大,成为动车组运行过程中所需克服的主要阻力,其能量消耗也越来越大, 基于普通中低速列车的线性建模与控制方法难以满足动车组运行过程高精度跟踪控制和多目标优化要求。 In order to simplify the train operation process modeling and controller design, many engineering applications and researchers ignore its influence. For example, without considering nonlinear air resistance, relevant researchers designed a fuzzy PID gain controller to adjust the running speed of subway trains; used adaptive optimization control algorithm to solve the problems of subway train operation management and energy-saving optimization; An open-loop heuristic optimization strategy and a heuristic-based closed-loop LQR control algorithm are proposed for speed control of a freight train dynamics model. but when , the nonlinear air resistance term The proportion in formula (2) is getting larger and larger, becoming the main resistance to be overcome during the operation of the EMU, and its energy consumption is also increasing. The linear modeling and control method based on ordinary medium and low-speed trains is difficult to satisfy High-precision tracking control and multi-objective optimization requirements in the running process of EMUs.

本发明中采用T-S双线性模型自学习预测控制算法对动车组运行过程进行研究: Adopt T-S bilinear model self-learning predictive control algorithm in the present invention to research the running process of EMU:

对于各个模糊规则,采用乘积推理机、单值模糊器及中心平均解模糊,T-S模糊双线性模型输出为: For each fuzzy rule, using product reasoning machine, single value fuzzer and center average defuzzification, the output of T-S fuzzy bilinear model is:

                 (5) (5)

式中:表示对于系统输入输出变量,第条规则的模糊隶属度。 In the formula: Indicates that for system input and output variables, the first The fuzzy membership degree of the rule.

(1)T-S双线性模型结构辨识 (1) T-S bilinear model structure identification

如何对T-S双线性模型结构进行优化,对模型辨识速度和精度有重要影响。常用的结构辨识方法有FCM聚类算法等,但FCM的局部搜索性,以及对聚类中心初值的敏感性,限制了其应用。本发明采用基于遗传模拟退火算法的FCM聚类分析方法对动车组模型结构进行辨识。该算法继承了遗传算法较强的并行和全局搜索能力,并采用模拟退火算法的Metropolis接受准则保持种群的多样性,提高局部搜索能力,克服了遗传算法的早熟现象和模拟退火算法收敛速度低的缺陷。 How to optimize the structure of the T-S bilinear model has an important impact on the speed and accuracy of model identification. Commonly used structure identification methods include FCM clustering algorithm, etc., but the local searchability of FCM and the sensitivity to the initial value of the cluster center limit its application. The invention adopts the FCM clustering analysis method based on the genetic simulated annealing algorithm to identify the structure of the EMU model. The algorithm inherits the strong parallel and global search ability of the genetic algorithm, and adopts the Metropolis acceptance criterion of the simulated annealing algorithm to maintain the diversity of the population, improve the local search ability, and overcome the premature phenomenon of the genetic algorithm and the low convergence speed of the simulated annealing algorithm. defect.

上述聚类算法可以得到指定个类别中的全局最优聚类中心。但动车组运行工况复杂多变,难以事先确定系统工作点。不同类别下聚类算法性能的优劣可以用有效性指标来衡量。Davies-Bouldin(DB)指标是一类经典的聚类有效性评价指标,采用类内紧致性和类间分离性评价聚类结果的好坏。 The above clustering algorithm can be obtained by specifying The global optimal cluster center in each category. However, the operating conditions of EMUs are complex and changeable, and it is difficult to determine the system operating point in advance. The performance of clustering algorithms under different categories can be measured by the effectiveness index. The Davies-Bouldin (DB) index is a class of classical clustering validity evaluation index, which uses intra-class compactness and inter-class separation to evaluate the quality of clustering results.

(2)动车组T-S双线性模型参数辨识 (2) Parameter identification of EMU T-S bilinear model

基于模型参数辨识原理,式(5)可转换为如下形式: Based on the principle of model parameter identification, formula (5) can be transformed into the following form:

                                       (6) (6)

式中:为观测向量,且满足: In the formula: is the observation vector, and satisfy:

;

为待辨识的参数。这是一个典型的最小二乘估计问题,可用如下公式求得参数 is the parameter to be identified. This is a typical least squares estimation problem, and the parameters can be obtained by the following formula :

                               (7) (7)

但其目标函数是全局优化的,并不能准确描述局部每个模糊规则的动态特性。 But its objective function is optimized globally, which cannot accurately describe the dynamic characteristics of each local fuzzy rule.

本发明采用递推加权最小二乘法方法来迭代辨识模型参数和避免矩阵求逆。 The invention adopts the recursive weighted least square method to iteratively identify model parameters and avoid matrix inversion.

(3)基于即时学习的模型参数在线校正 (3) Online correction of model parameters based on real-time learning

为了提高即时学习算法的效率,本发明只在模型输出误差超过阈值时启用即时学习算法进行校正并更新学习集。如何建立学习集是影响模型精度的主要因素,为提高在线建模精度,本发明将动车组双线性动态变化趋势考虑到选择样本的准则中。 In order to improve the efficiency of the real-time learning algorithm, the present invention enables the real-time learning algorithm to correct and update the learning set only when the model output error exceeds the threshold. How to establish the learning set is the main factor affecting the accuracy of the model. In order to improve the accuracy of online modeling, the present invention takes the bilinear dynamic change trend of the EMU into the criterion for selecting samples.

本发明设计双线性自适应模型预测控制器进行滚动优化和闭环控制,实现动车组安全平稳、节能舒适、正点等多目标优化控制,主要计算步骤如下: The present invention designs a bilinear adaptive model predictive controller to perform rolling optimization and closed-loop control, and realize multi-objective optimization control such as safety and stability of the EMU, energy saving and comfort, and punctuality. The main calculation steps are as follows:

通过最小化目标函数,T-S双线性模型预测控制算法可以准确地描述其动态过程,给出最优控制序列,但模型中的双线性项具有非线性,多步预测的在线计算量较大。为了降低在线优化的计算量,式(5)可转换为: By minimizing the objective function, the T-S bilinear model predictive control algorithm can accurately describe its dynamic process and give the optimal control sequence, but the bilinear term in the model is nonlinear, and the online calculation of multi-step prediction is large . In order to reduce the calculation amount of online optimization, formula (5) can be transformed into:

         (8) (8)

在动车组运行过程中,控制器的设计应使动车组运行平稳、舒适、节能、准时并保证精确停车。则动车组运行多目标约束优化模型为:     During the operation of the EMU, the design of the controller should make the operation of the EMU stable, comfortable, energy-saving, punctual and ensure precise parking. Then the multi-objective constrained optimization model for EMU operation is:

                               (9) (9)

式中:分别为运行时分权重和能耗权重, 为目标速度,为速度跟踪误差范围,为运行图的运行时分,为区间运行期望的能耗,代表最大制动力,为控制量增量,代表最大牵引力。 In the formula: and are the runtime weight and energy consumption weight respectively, is the target speed, is the speed tracking error range, is the running time of the graph, is the expected energy consumption of interval operation, represents the maximum braking force, is the control increment, Represents maximum traction.

由于节能指标和平稳舒适度可通过控制量的变化来描述,正点率和精确停车指标可通过对最优速度曲线的精确跟踪来实现,则目标函数可表述为: Since the energy-saving index and smooth comfort can be described by the change of the control quantity, and the punctuality rate and accurate parking index can be realized by accurately tracking the optimal speed curve, the objective function can be expressed as:

         (10) (10)

式中:为未来速度参考轨迹,分别是最小输出长度、预测长度和控制长度,为加权系数序列,约束控制量;为未来控制增量序列。 In the formula: is the future velocity reference trajectory, are the minimum output length, predicted length, and control length, respectively, is the weighted coefficient sequence, constraining the control quantity; Controls the sequence of increments for the future.

基于滚动优化机制,可得最优控制律: Based on the rolling optimization mechanism, the optimal control law can be obtained:

(11)           (11)

其中 in

将计算出来的个控制增量的第一个值付诸实施,实现滚动优化。在当前第个采样位置处,控制量表示为: will be calculated The first value of a control increment is put into effect, enabling scrolling optimization. in the current At sampling positions, the control quantity is expressed as:

                             (12) (12)

综上所述,针对动车组运行过程建模和实时优化控制问题,可以根据其牵引特性曲线、惰行阻力曲线、制动模式曲线和运行数据,建立T-S双线性模型来有效描述其多模式运行过程;设计即时学习模型预测控制器来改善其多目标优化控制性能指标。 To sum up, for the modeling and real-time optimal control of the EMU operation process, the T-S bilinear model can be established to effectively describe its multi-mode operation based on its traction characteristic curve, coasting resistance curve, braking mode curve and operating data. Process; Designing instant learning model predictive controllers to improve their multi-objective optimal control performance metrics.

本发明与现有技术比较的有益效果是,动车组运行涉及坡道、隧道、桥梁、电分相和天气变化等多种场景,运行过程复杂、信息不完整、非线性特征明显,传统控制方法难以建立有效描述模型和实施安全、正点、节能、舒适等多目标优化操纵。本发明首先提出动车组按照既定运行图,在指定时段和区间内有规律地运行,控制变量和状态变量之间的动态关系遵循牵引特性曲线、惰行阻力曲线和制动模式曲线变化,为基于数据驱动的建模和优化控制方法提供了可能;然后结合其动力学方程和操纵控制特点建立T-S双线性模糊模型,并采用即时学习算法实现模型参数的自适应调整;依据动车组实际运行图、前方线路情况、限速条件,牵引力/制动力饱和非线性特性等约束条件建立约束模型,据此设计双线性模型预测控制器实现动车组优化运行,为乘务员优化操纵提供先验信息,从而改变了凭经验调节的盲目性,是一种行之有效的优化操纵辅助手段。本发明更直观、更迅速,且不受场地、环境等条件限制,具有简单实用,改善高铁乘务员优化操纵水平,减少人力资源投入,提高铁路部门运营效率,降低成本的优点。 The beneficial effect of the present invention compared with the prior art is that the operation of the EMU involves various scenarios such as ramps, tunnels, bridges, electric phase separation, and weather changes. The operation process is complicated, the information is incomplete, and the nonlinear characteristics are obvious. The traditional control method It is difficult to establish an effective description model and implement multi-objective optimization operations such as safety, punctuality, energy saving, and comfort. The present invention firstly proposes that the EMU runs regularly within the specified time period and interval according to the established operation diagram, and the dynamic relationship between the control variable and the state variable follows the change of the traction characteristic curve, the coasting resistance curve and the braking mode curve, which is based on data The driving modeling and optimization control methods provide the possibility; then the T-S bilinear fuzzy model is established by combining its dynamic equations and handling control characteristics, and the real-time learning algorithm is used to realize the adaptive adjustment of model parameters; according to the actual operation diagram of the EMU, Constraint models are established based on constraints such as line conditions ahead, speed limit conditions, traction force/braking force saturation nonlinear characteristics, and a bilinear model predictive controller is designed based on this to realize optimal operation of EMUs and provide prior information for flight attendants to optimize manipulation, thus changing It eliminates the blindness of empirical adjustment, and is an effective auxiliary means for optimal operation. The present invention is more intuitive and rapid, and is not limited by conditions such as site and environment, and has the advantages of being simple and practical, improving the optimal manipulation level of high-speed rail attendants, reducing human resource investment, improving the operating efficiency of railway departments, and reducing costs.

本发明适用于动车组运行状态在线辨识与多目标优化控制。 The invention is suitable for on-line identification and multi-objective optimal control of the running state of the EMU.

附图说明     Description of drawings

图1为动车组运行过程控制系统结构图; Fig. 1 is the structural diagram of the EMU operation process control system;

图2为动车组运行控制基本原理; Fig. 2 is the basic principle of EMU operation control;

图3为动车组主控单元; Fig. 3 is the EMU main control unit;

图4(a)为动车组不同手柄级位下的牵引特性曲线; Figure 4(a) is the traction characteristic curve of the EMU under different handle levels;

图4(b)为动车组不同手柄级位下的制动特性曲线; Figure 4(b) is the braking characteristic curve of the EMU under different handle levels;

图5为线路限速图; Figure 5 is a line speed limit diagram;

图6为动车组实际运行过程图; Fig. 6 is the actual operation process diagram of the EMU;

图7为本发明建模方法输出及其误差曲线; Fig. 7 is output and error curve thereof of modeling method of the present invention;

图8(a)为本发明控制方法得到的速度跟踪及误差曲线; Fig. 8 (a) is the velocity tracking and error curve that control method of the present invention obtains;

图8(b)为本发明方法得到的控制力变化曲线; Fig. 8 (b) is the control force change curve that the inventive method obtains;

图8(c)为本发明方法得到的优化能耗和运行时间曲线。 Fig. 8(c) is the optimized energy consumption and running time curve obtained by the method of the present invention.

具体实施方式   Detailed ways

本发明具体实施在某铁路局所辖京沪高速铁路济南—徐州东下行区间进行,运行数据在动车组CRH380AL上现场采集。中间经过泰安站、曲阜东站、滕州东站和枣庄站,但只在泰安站停车2分钟。起始里程为393.74km,泰安站里程为465.77km,终点里程为693.74km。高速动车组运行工况变化复杂,受到线路坡度(最大坡度已达到20‰)、运行时间、限速等约束。全程有9个隧道,11处电分相点,17处坡度值超过12‰ 。表1为运行图规定的各站间运行时分,图5是线路限速图。 The present invention is specifically implemented in the Jinan-Xuzhou East downlink section of the Beijing-Shanghai high-speed railway under the jurisdiction of a certain railway bureau, and the operating data is collected on-site on the EMU CRH380AL. It passes through Tai'an Station, Qufu East Station, Tengzhou East Station and Zaozhuang Station, but only stops at Tai'an Station for 2 minutes. The starting mileage is 393.74km, the mileage at Tai'an Station is 465.77km, and the final mileage is 693.74km. The operating conditions of high-speed EMUs are complex and subject to constraints such as line gradient (the maximum gradient has reached 20‰), operating time, and speed limit. There are 9 tunnels in the whole process, 11 electrical separation phase points, and 17 slope values exceeding 12‰. Table 1 shows the operating hours and minutes between stations specified in the operation diagram, and Figure 5 is the line speed limit diagram.

表1   区间运行时刻表 Table 1 Interval operation timetable

区间名称interval name 区间运行时分(时:分:秒)Interval running hours and minutes (hour: minute: second) 济南→泰安Jinan→Taian 09:38:30→10:03:1909:38:30→10:03:19 泰安→曲阜东Tai'an → Qufu East 10:05:19→10:21:3910:05:19→10:21:39 曲阜东→滕州东Qufu East → Tengzhou East 10:21:39→10:33:0210:21:39→10:33:02 滕州东→枣庄Tengzhou East → Zaozhuang 10:33:02→10:40:2210:33:02→10:40:22 枣庄→徐州东Zaozhuang→Xuzhou East 10:40:22→10:56:3010:40:22→10:56:30

图6描述了2012年7月13日该型号动车组实际运行时分、运营速度。其中,实际运行时间为1小时19分51秒,比运行图规定时间1小时18分钟晚点1分51秒;制动过程采用电空联合制动方式,其中再生电量可以回馈到电网,总能耗为牵引耗电量减去再生制动电量,其值为14230kwh。 Figure 6 describes the actual running time and operating speed of this type of EMU on July 13, 2012. Among them, the actual running time is 1 hour, 19 minutes and 51 seconds, which is 1 minute and 51 seconds later than the time specified in the operation diagram of 1 hour and 18 minutes; the braking process adopts the electro-pneumatic combined braking method, in which the regenerative power can be fed back to the grid, and the total energy consumption It is the traction power consumption minus the regenerative braking power, and its value is 14230kwh.

本发明实施例基于CRH380AL型动车组不同手柄级位下的牵引/制动特性曲线对现场运行2000组数据进行预处理,得到范围内1800组有效数据。利用本发明聚类有效性算法分析这些数据,当工况数为6时DB值最小,即最优模糊规则个数为6,对应的模型最佳工作点分别为: In the embodiment of the present invention, based on the traction/braking characteristic curves of the CRH380AL EMU at different handle levels, 2000 sets of data in field operation are preprocessed to obtain 1800 sets of valid data within the range. Utilize the clustering effectiveness algorithm of the present invention to analyze these data, when the number of working conditions is 6, the DB value is the smallest, that is, the number of optimal fuzzy rules is 6, and the corresponding optimal working points of the model are respectively:

  启动工况; start-up conditions;

 中低速惰行工况; Low and medium speed coasting conditions;

  恒功率牵引工况; Constant power traction working condition;

   高速惰行工况; High speed idling condition;

  高速制动调速工况; High-speed braking and speed regulation working conditions;

   低速制动停车工况; Low-speed braking and parking conditions;

图7为基于即时学习的T-S双线性模型输出及其与实际输出的误差曲线。 Figure 7 shows the output of the T-S bilinear model based on real-time learning and its error curve with the actual output.

从图7可以看出,在动车组多工况运行过程中,本发明建模方法的模型输出仍能较好地跟踪实际输出的变化情况(均方根误差为)。特别是在不同牵引手柄级位、不同制动手柄级位过渡阶段,模型输出的最大正误差和最小负误差仅为,其绝对值均在线路限速范围内,模型辨识精度和泛化能力较高,可以较好地满足CTCS-3列控系统误差要求,即30以下2,30以上不超过速度值的2%。 As can be seen from Fig. 7, in the multi-working mode operation process of the EMU, the model output of the modeling method of the present invention can still track the variation of the actual output better (the root mean square error is ). Especially in the transition stages of different traction handle levels and different brake handle levels, the maximum positive error and minimum negative error output by the model are only and , whose absolute values are all within the line speed limit range, the model identification accuracy and generalization ability are high, which can better meet the CTCS-3 train control system error requirements, that is, 30 the following 2 , 30 The above does not exceed 2% of the speed value.

为了进一步验证本文建模与控制方法的有效性并适应对象和扰动特性的变化,从而使系统工作区域位于最经济操作区,根据动车组现场运行数据进行多目标优化控制仿真实验。 In order to further verify the validity of the modeling and control method in this paper and adapt to the changes of objects and disturbance characteristics, so that the system working area is located in the most economical operating area, a multi-objective optimal control simulation experiment is carried out according to the field operation data of the EMU.

采用基于T-S双线性自学习模型预测控制算法,图8(a)表明本文方法可以进一步改善动车组复杂运行环境中速度跟踪性能指标,运行安全指标也得以提高,其最大控制误差和最小负控制误差分别为,均满足目标速度误差要求; 控制系统的均方根误差()明显优于建模系统的均方根误差()。从图8(b)可以看出,控制力变化曲线符合工况变化情况,即牵引工况控制力大于零,惰行工况控制力等于零,制动工况控制力小于零;启动过程控制力基于时间最优原则变化,恒速过程控制力按照节能原则进行恒功率和惰行工况有序变化,制动过程采用再生制动将能量回馈到电网进行节能,减少了最大制动的使用频率,提高了运行平稳性;整个区间运行过程中,控制力保持平滑过渡和切换,改善了乘客舒适性。图8(c)描述了本发明方法得到的优化能耗和运行时间曲线,能耗曲线在制动过程呈下降趋势;当能耗明显增加时,运行时间增长速率变慢;在整个运行过程的能耗为14095kwh, 运行时间为1小时17分42秒,正点运行,相对乘务员经验操纵方法,该算法节能265kwh,相对节能1.88%,较好地满足安全、节能、正点、平稳舒适等多目标优化要求。 Using the predictive control algorithm based on the TS bilinear self-learning model, Figure 8(a) shows that the method in this paper can further improve the speed tracking performance index in the complex operating environment of the EMU, and the operating safety index can also be improved. Its maximum control error and minimum negative control The error is and , both meet the target speed error requirements; the root mean square error of the control system ( ) is significantly better than the root mean square error of the modeled system ( ). It can be seen from Fig. 8(b) that the change curve of the control force conforms to the change of working conditions, that is, the control force in the traction condition is greater than zero, the control force in the coasting condition is equal to zero, and the control force in the braking condition is less than zero; the control force in the starting process is based on The time optimal principle changes, the constant speed process control force changes in an orderly manner in accordance with the principle of energy saving, constant power and idling conditions, the braking process uses regenerative braking to feed energy back to the grid for energy saving, reduces the frequency of use of the maximum braking, and improves During the whole interval running, the control force maintains smooth transition and switching, which improves the comfort of passengers. Fig. 8 (c) has described the optimization energy consumption that the inventive method obtains and running time curve, and energy consumption curve is downward trend in braking process; When energy consumption increases obviously, running time growth rate slows down; The energy consumption is 14095kwh, the running time is 1 hour, 17 minutes and 42 seconds, and the operation is on time. Compared with the flight attendant's experience control method, this algorithm saves 265kwh of energy saving, which is 1.88% of relative energy saving. It can better meet the multi-objective optimization of safety, energy saving, punctuality, stability and comfort. Require.

Claims (3)

1.一种动车组运行过程建模与自适应控制方法,其特征是,所述方法依据动车组实际运行图、前方线路情况、限速条件,牵引力/制动力饱和非线性特性约束条件建立动车组运行多目标约束优化模型,据此设计双线性模型预测控制器实现动车组优化运行;并根据上述模型设计即时学习模型预测控制算法来改善动车组多目标约束优化控制性能指标;当模型输出误差e在系统允许范围内时,T-S双线性模型参数无需优化;当模型输出误差超过阈值时,采用即时学习算法对模型参数进行在线校正;据此动态调整双线性模型预测控制器的参数,实现模型参数和控制器参数的同时优化,减少了双线性模型预测控制器在线计算量;1. A kind of EMU operation process modeling and self-adaptive control method, it is characterized in that, described method is based on EMU actual operation chart, line situation ahead, speed limit condition, tractive force/braking force saturation non-linear characteristic constraint condition establishes EMU A multi-objective constraint optimization model for group operation, based on which a bilinear model predictive controller is designed to realize the optimal operation of the EMU; and a real-time learning model predictive control algorithm is designed according to the above model to improve the multi-objective constraint optimization control performance index of the EMU; when the model outputs When the error e is within the allowable range of the system, the parameters of the T-S bilinear model do not need to be optimized; when the model output error exceeds the threshold, the model parameters are corrected online using an instant learning algorithm; accordingly, the parameters of the bilinear model predictive controller are dynamically adjusted , realizing the simultaneous optimization of model parameters and controller parameters, reducing the amount of online calculation of the bilinear model predictive controller; 所述动车组运行多目标约束优化模型为:The multi-objective constraint optimization model for the operation of the EMU is: minmin Ff == WW TT || tt -- tt ** tt ** || ++ WW EE. || EE. -- EE. ** EE. ** || r-δ)≤ν≤(νr+δ)r -δ)≤ν≤(ν r +δ) t≤t* t≤t * Umin≤U≤Umax U min ≤ U ≤ U max Δumin≤Δu≤Δumax Δu min ≤ Δu ≤ Δu max 式中:F表示目标函数;WT为运行时分的权重;WE为能耗权重;vr为目标速度;δ为速度跟踪误差范围;t*为运行图的运行时分;E*为区间运行期望的能耗;Umin代表最大制动力;Δu为控制量增量;Umax代表最大牵引力;Δumin为控制量增量的下限值;Δumax为控制量增量的上限值;In the formula: F represents the objective function; W T is the weight of running time; W E is the weight of energy consumption; v r is the target speed; δ is the error range of speed tracking; Expected energy consumption; U min represents the maximum braking force; Δu is the control increment; U max represents the maximum traction force; Δu min is the lower limit of the control increment; Δu max is the upper limit of the control increment; 所述双线性模型为:The bilinear model is: N辆编组的动车组动态特性、能量消耗和运行时分的双线性模型为:The bilinear model of the dynamic characteristics, energy consumption and running time of the N-car EMU is: tt (( xx )) == ∫∫ xx 11 xx 22 11 vv (( xx )) dxdx EE. (( xx )) == ∫∫ xx 11 xx 22 Uu (( xx )) ·&Center Dot; vv (( xx )) ·&Center Dot; tt (( xx )) dxdx 式中:M为动车组等价总质量;x是动车组的运行距离;系统输入是作用于动车组上的不同手柄级位下的控制力U(x);系统输出是速度v(x);符号算子使得U(x)和v(x)满足乘积关系;G为线路参数;x1表示起点的位置;x2表示终点的位置;t为运行时分;E(x)为动车组运行过程中的能量消耗;C1为机械阻力系数,大小为7.4×10-3,C2为空气阻力系数,大小为1.24×10-4In the formula: M is the equivalent total mass of the EMU; x is the running distance of the EMU; the system input is the control force U(x) acting on the EMU at different handle levels; the system output is the speed v(x) ;symbol The operator makes U(x) and v(x) satisfy the product relationship; G is the line parameter; x 1 represents the position of the starting point; x 2 represents the position of the end point; t is the running time; energy consumption; C 1 is the mechanical resistance coefficient, which is 7.4×10 -3 , and C 2 is the air resistance coefficient, which is 1.24×10 -4 . 2.根据权利要求1所述一种动车组运行过程建模与自适应控制方法,其特征是,所述方法步骤为:2. A kind of EMU operation process modeling and adaptive control method according to claim 1, is characterized in that, described method step is: (1)从动车组运行控制的基本原理出发,以操纵控制的特点和动力学方程为基础,建立描述动车组动态特性、能量消耗和运行时分的双线性模型;根据已经确定的模型结构确定各个模糊规则前件参数,通过递推加权最小二乘法辨识各个模糊规则后件参数,对局部每个模糊规则的动态特性进行准确描述;当模型输出误差超过预先设定的阈值时,采用基于即时学习的局部建模方法对模型参数在线校正;这样即可实现动车组运行过程多模式模型的在线估计;(1) Starting from the basic principle of EMU operation control, and based on the characteristics of maneuvering control and dynamic equations, establish a bilinear model describing the dynamic characteristics, energy consumption and running time of EMUs; determine according to the established model structure For each fuzzy rule antecedent parameter, each fuzzy rule subsequent parameter is identified by the recursive weighted least square method, and the dynamic characteristics of each local fuzzy rule are accurately described; when the model output error exceeds the preset threshold, the real-time based The local modeling method of learning corrects the model parameters online; in this way, the online estimation of the multi-mode model in the operation process of the EMU can be realized; (2)在上述建立的T-S双线性模型的基础上,结合非线性模型预测控制,将预测模型进行转换,设计T-S双线性自适应模型预测控制器来研究动车组优化操纵问题。(2) On the basis of the T-S bilinear model established above, combined with the nonlinear model predictive control, the predictive model is converted, and the T-S bilinear adaptive model predictive controller is designed to study the optimal handling of EMUs. 3.根据权利要求1所述一种动车组运行过程建模与自适应控制方法,其特征是,所述T-S双线性模型辨识和自适应控制方法包括:3. A kind of EMU operation process modeling and adaptive control method according to claim 1, it is characterized in that, described T-S bilinear model identification and adaptive control method comprise: (1)动车组T-S双线性模型参数辨识,采用递推加权最小二乘法方法来迭代辨识模型参数和避免矩阵求逆;(1) For parameter identification of the EMU T-S bilinear model, the recursive weighted least squares method is used to iteratively identify model parameters and avoid matrix inversion; (2)基于即时学习的模型参数在线校正,在模型输出误差超过阈值时启用即时学习算法进行校正并更新学习集;设计双线性自适应模型预测控制器进行滚动优化和闭环控制,实现动车组安全平稳、节能舒适、正点多目标优化控制。(2) Online correction of model parameters based on real-time learning. When the model output error exceeds the threshold, the real-time learning algorithm is used to correct and update the learning set; design a bilinear adaptive model predictive controller for rolling optimization and closed-loop control to realize EMU Safe and stable, energy-saving and comfortable, punctual multi-objective optimal control.
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