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Guaranteed Cost Optimal Control of High-speed Train with Time-delay in Cruise Phase

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  • Control Theory and Applications
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Abstract

In this paper, a novel guaranteed cost control scheme that takes into account state time-delay and parametric uncertainties is proposed for high-speed train (HST) optimal operation control. First, a linear dynamic model of HST is built, where the basic and additional resistances, in-train force, train effort as well as state time-delay are addressed explicitly. Second, an operation criterion considering the velocity tracking, operation safety and running cost is established. Third, a guaranteed cost controller is then designed to realize the optimal control with trade-off among the multiple objectives. To the best knowledge of the authors, it is the first time to address the velocity tracking, the operation safety and the running cost simultaneously while considering both state time-delay and parametric uncertainties, which corresponds to a more practical scenario in high-speed train control. At last, simulation is carried out to validate the effectiveness of the proposed control scheme under different delay degrees.

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Authors and Affiliations

  1. Institute of Systems Science and Technology, Southwest Jiaotong University, 999 Xian Road, Pidu District, Chengdu, 610031, China

    Xiangjin Tian, Deqing Huang, Na Qin & Zifeng Gong

  2. School of Electrical Engineering, Southwest Jiaotong University, 999 Xian Road, Pidu District, Chengdu, 610031, China

    Qingyuan Wang

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  1. Xiangjin Tian
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  2. Deqing Huang
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Correspondence to Deqing Huang.

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The work was partially supported by the National Natural Science Foundation of China under Grants U1934221 61773323, 61733015 and the Fundamental Research Funds for the Central Universities 2682018CX15 and in part by the Sichuan Science and Technology Program under Grant 2019YJ0210.

Xiangjin Tian received her B.E. degree in electronic information engineering from Southwest Minzu University, Chengdu, China, in 2018. She is currently working toward an M.S. degree in control science and engineering with the Southwest Jiaotong University, Chengdu, China. Her research interests include energy-efficient operation control of high-speed train and multi-train coordination.

Deqing Huang received his B.S. and Ph.D. degrees in applied mathematics from the Mathematical College, Sichuan University, Chengdu, China, in 2002 and 2007, respectively. He received the second Ph.D. degree in control engineering from National University of Singapore (NUS). From 2013 to 2016, he was a Research Associate with the Department of Aeronautics, Imperial College London, London, U.K. In January 2016, he joined the Department of Electronic and Information Enginerring, Southwest Jiaotong Univerisity, Chengdu, China as a Professor and the Department Head. His research interests lie in the areas of modern control theory, fluid analysis and control, convex optimization, and robotics.

Na Qin received her B.S. degree from the School of Electrical Engineering, Zhengzhou University, Zhengzhou, China, in 2000, and her M.S. and Ph.D. degrees from the School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China, in 2003 and 2014, respectively. She is currently an Associate Professor with the School of Electrical Engineering, Southwest Jiaotong University. Her research interests include intelligent information processing, fault diagnosis, pattern recognition, and intelligent systems.

Zifeng Gong received his B.E. degree in electrical engineering from Southwest Minzu University, Chengdu, China, in 2018. He is currently working toward an M.S. degree in electrical engineering with the Southwest Jiaotong University, Chengdu, China. His research interests include modeling, fault diagnosis, and fault tolerant control of electrical traction system.

Qingyuan Wang received his B.S. degree in electronic and information engineering and an M.S. degree in electrical engineering from Southwest Jiaotong University, Chengdu, China, in 2006 and 2009, respectively, where he is currently working toward a Ph.D. degree with the School of Electrical Engineering, China. His research interests include energy-efficient control of single trains, robust control and optimal control for automatic train operation, and design and implementation of driver assistant systems.

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Tian, X., Huang, D., Qin, N. et al. Guaranteed Cost Optimal Control of High-speed Train with Time-delay in Cruise Phase. Int. J. Control Autom. Syst. 19, 2971–2983 (2021). https://doi.org/10.1007/s12555-020-0189-z

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