基于杜芬方程的地铁ATS系统周期性风险反馈控制机理研究  

Research on the feedback control model of the system periodic risk in ATS system of metro based on duffing equation

作　　者：于耀程 黄文成[1,2,3,4] 帅斌[1,2,3,4] 张锐 许旻昊 徐逸飞 YU Yaocheng;HUANG Wencheng;SHUAI Bin;ZHANG Rui;XU Minhao;XU Yifei(School of Transportation and Logistics,Southwest Jiaotong University,Chengdu 611756,China;Institute of System Science and Engineering,Southwest Jiaotong University,Chengdu 611756,China;National United Engineering Laboratory of Intergrated and Intelligent Transportation,Southwest Jiaotong University,Chengdu 611756,China;National Engineering Laboratory of Integrated Transportation Big Data Application Technology,Chengdu 611756,China)

机构地区：[1]西南交通大学交通运输与物流学院,四川成都611756 [2]西南交通大学系统科学与系统工程研究所,四川成都611756 [3]西南交通大学综合交通运输智能化国家地方联合工程实验室,四川成都611756 [4]西南交通大学综合交通大数据应用技术国家工程实验室,四川成都611756

出　　处：《管理工程学报》2022年第6期233-243,共11页Journal of Industrial Engineering and Engineering Management

基　　金：国家自然科学基金资助项目(71173177);国家自然科学基金资助青年项目(72001179);四川省科技厅国际科技创新合作项目(2021YFH0106)。

摘　　要：为了研究地铁ATS系统的周期性风险控制机理,本文使用非线性振动理论中的杜芬方程对其周期性风险进行反馈控制建模。本文首先阐述地铁ATS系统的风险特性并将其分为周期性风险和非周期性风险。研究证明了采用杜芬方程描述地铁ATS系统震荡情况以及周期性风险的可行性,通过将杜芬方程中的参数、变量赋予描述了地铁ATS系统状态属性的实际意义,并建立了系统的震荡方程。同时,本文向系统震荡方程中加入反馈控制函数以调节震荡方程中的系数,通过多尺度法推导出加入不同形式控制函数时系统的周期性风险控制方程,最后以北京地铁二号线ATS系统为例对风险控制方程进行仿真。研究结果表明:系统本身存在宏观周期性干扰会打破系统原有震荡情况,产生周期性的风险,使系统震荡状态发生突跳,系统发生事故的可能性增大。使用杜芬方程可以清晰地描述系统在震荡过程中受到周期性风险后产生的突跳,加入相应反馈控制函数控制系数可有效抑制系统内由于周期性干扰产生的风险突跳,使系统振动情况朝着稳定、安全的方向发展。Automatic Train Supervision(ATS)system features redundant components and complex operation specifications,leading to higher failure probability of the ATS.Meanwhile,as one of the core components of Automatic Train Control(ATC)system,the Metro ATS system undertakes the task of monitoring train operation status.As a result,if any fault occurs to the ATS system,great threat will be posed to the train′s operation safety.However,few researches on the risk control mechanism of the Metro ATS system have been done.And,the existing risk control researches are also rarely devoted to the root reason of the system risk and the process of the system risk control at micro level.Therefore,in order to fundamentally reduce the failure probability of the Metro ATS system,ensure the safety of train operation and lay a theoretical foundation for the risk control and management of the Metro ATS system,the periodic risk of the Metro ATS system is taken as the main research object,and Duffing equation is used as the main method to study the risk control mechanism of the Metro ATS system in the micro perspective in this paper.Firstly,five risk characteristics of the Metro ATS system are studied,including bimodality,sudden transitions,hysteresis,inaccessibility,and divergence.According to the results,it can be concluded that it is feasible to use catastrophe theory to describe the risk state change of the Metro ATS system.Secondly,the types of the risk in Metro ATS system are discussed and divided into periodic risk and aperiodic risk.The periodic risk is determined as the main research object of this paper.Then,the Duffing equation is introduced briefly and the feasibility of using the Duffing equation to describe the safety state of the Metro ATS system from three aspects(including the vibration theory,the nonlinear system theory and the catastrophe theory)is proved.After that,each parameter and variable in the Duffing equation are assigned with practical significance to describe the state attributes of the Metro ATS system,and the o

关 键 词：杜芬方程 震荡方程 风险控制方程 地铁ATS系统 突跳 

分 类 号：U298[交通运输工程—交通运输规划与管理]