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浙江大学学报(工学版)  2026, Vol. 60 Issue (11): 2535-2545    DOI: 10.3785/j.issn.1008-973X.2026.11.022
土木工程、交通工程     
基于改进模糊滑模控制的高速列车速度跟踪控制
贾俊睿1(),陈光武1,*(),石建强1,康庄2,王东1,贾利民3
1. 兰州交通大学 自动化与电气工程学院,甘肃 兰州 730070
2. 宁夏大学 信息与网络空间安全学院,宁夏 中卫 755000
3. 北京交通大学 先进轨道交通自主运行全国重点实验室,北京 100044
Speed tracking control of high-speed train based on improved fuzzy sliding mode control
Junrui JIA1(),Guangwu CHEN1,*(),Jianqiang SHI1,Zhuang KANG2,Dong WANG1,Limin JIA3
1. School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
2. School of Information and Cybersecurity, Ningxia University, Zhongwei 755000, China
3. State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing 100044, China
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摘要:

针对高速动车组在复杂运行环境下跟踪精度差与鲁棒性低的问题,提出双层区间二型模糊滑模控制器. 上层基于区间二型模糊逻辑系统设计自适应切换增益,通过处理隶属度函数的不确定性实现对外部干扰的精准估计;下层设计双曲-指数复合幂次趋近律,构造连续光滑函数替代传统符号函数,在保留幂次趋近律快速收敛特性的同时消除控制输入的不连续切换. 以CRH380A型高速动车组在苏州北-上海虹桥路段的实际运行数据为基础进行仿真验证. 仿真结果表明,所提控制器速度与位移的跟踪误差分别为0.000 005 m/s和0.002 82 m,实现了对目标曲线的全时段高精度跟踪.

关键词: 铁路运输;  速度跟踪控制;  滑模控制;  高速列车;  区间二型模糊逻辑系统;  列车运行干扰    
Abstract:

A double-hierarchical interval-type-2 fuzzy sliding mode controller was proposed to address poor tracking accuracy and low robustness of high-speed trains under complex operating environments. In the upper-layer design, an adaptive switching gain based on an interval-type-2 fuzzy logic system was developed, whereby precise estimation of external disturbances was achieved through compensating for the uncertainties of membership functions. For the lower-layer control, a hyperbolic-exponential composite power reaching law was employed, and a continuous smooth function was constructed to replace the traditional sign function. Consequently, the discontinuous switching of the control input was successfully eliminated while the fast convergence characteristics of the power reaching law were effectively retained. A simulation was conducted based on actual data of the CRH380A high-speed train running on the Suzhou North–Shanghai Hongqiao section. The velocity and displacement tracking errors of the proposed controller were 0.000 005 m/s and 0.002 82 m, respectively, achieving high-precision tracking of the target trajectory throughout the operation.

Key words: railway transportation    speed tracking control    sliding mode control    high-speed train    interval-type-2 fuzzy logic system    train running disturbance
收稿日期: 2025-08-31 出版日期: 2026-10-16
CLC:  U 284.48+1  
基金资助: 国铁集团科技计划项目(N2024G056);甘肃省自然科学基金资助项目(24JRRA252);甘肃省优秀博士生资助项目(23JRRA912).
通讯作者: 陈光武     E-mail: JJR807C@163.com;cgwyjh1976@163.com
作者简介: 贾俊睿(1997—),男,硕士生,从事非线性系统控制和列车滑模控制研究. orcid.org/0009-0007-1760-0060. E-mail:JJR807C@163.com
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引用本文:

贾俊睿,陈光武,石建强,康庄,王东,贾利民. 基于改进模糊滑模控制的高速列车速度跟踪控制[J]. 浙江大学学报(工学版), 2026, 60(11): 2535-2545.

Junrui JIA,Guangwu CHEN,Jianqiang SHI,Zhuang KANG,Dong WANG,Limin JIA. Speed tracking control of high-speed train based on improved fuzzy sliding mode control. Journal of ZheJiang University (Engineering Science), 2026, 60(11): 2535-2545.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.11.022    或    https://www.zjujournals.com/eng/CN/Y2026/V60/I11/2535

图 1  区间二型模糊逻辑系统变量隶属度函数
变量模糊规则
$ \dot{V} $NBNSZOPSPB
?kNBNSZOPSPB
?$ \eta $NBNSZOPSPB
?GNBNSZOPSPB
表 1  自适应切换增益的模糊规则表
图 2  趋近律函数特性对比
图 3  双层全局快速终端区间二型模糊滑模控制结构
图 4  京沪线部分路段目标速度与线路信息曲线
图 5  不同经验系数取值下的干扰估计响应曲线
$ {G}_{1} $MAE/(10?6 m·s?2)${G}_{1} $MAE/(10?6 m·s?2)
16.058 62$ 15 $3.903 01
$ 5 $3.907 16$ 20 $3.903 07
$ 10 $1.313 58——
表 2  不同经验系数取值下的干扰估计平均绝对误差
图 6  幂次参数对跟踪误差的影响
图 7  幂次参数对控制输入的影响
图 8  指数参数对跟踪误差的影响
图 9  指数参数对控制输入的影响
参数数值参数数值
$ {a}_{1} $10$ p $5
$ {a}_{2} $5$ q $3
$ {a}_{3} $10$ \delta $0.000 3
$ {a}_{4} $5——
表 3  速度跟踪控制器的仿真参数
图 10  控制器的干扰估计效果对比
图 11  不同控制器的滑模面曲线对比
控制器$ {\left| s\right| }_{\max } $
SMC[14]0.091 8
GFTFSMC[20]5.105 2
DH_GFTFSMC[21]0.009 0
本研究0.000 2
表 4  大干扰时段各控制器滑模面偏离平衡面峰值
图 12  滑模类控制器控制输入对比
图 13  滑模类控制器速度跟踪效果对比
控制器MAE/(m·s?1)MAEs/(m·s?1)
SMC0.001 3640.002 269
GFTFSMC0.007 2540.008 649
DH_GFTFSMC0.000 4010.001 724
本研究0.000 0050.000 009
表 5  滑模类控制器的速度跟踪误差统计
图 14  滑模类控制器位移跟踪效果对比
控制器MAE/mMAEs/m
SMC0.023 600.060 52
GFTFSMC4.981 0116.461 00
DH_GFTFSMC0.032 760.060 95
本研究0.002 820.002 80
表 6  滑模类控制器的位移跟踪误差统计
图 15  不同类型控制器的速度跟踪性能对比
控制器MAE/(m·s?1)MAEs/(m·s?1)
PID[8]0.001 9580.000 126
ADRC[10]0.000 2490.000 028
本研究0.000 0050.000 009
表 7  不同类型控制器的速度跟踪误差统计
图 16  不同类型控制器的位移跟踪效果对比
控制器MAE/mMAEs/m
PID0.793900.09226
ADRC0.011970.00266
本研究0.002820.00280
表 8  不同类型控制器的位移跟踪误差统计
图 17  不同类型控制器的控制输入对比
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