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Robust Cruise Control for Large-scale System of High-speed Train With Parameter Uncertainties and Time-varying Delay

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  • Control Theory and Applications
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Abstract

This paper investigates the problem of speed cruise control in high-speed trains, which are modeled as large-scale systems with each car considered as an independent subsystem. Decoupled \({\mathcal H}_{\infty}\) controllers are employed for each car. To address parameter uncertainties and time-varying delays, a comprehensive analysis of the robustness and time-delay stability of the large-scale system was conducted, which led to the design of decoupled controllers. Simulations and comparative analyses were conducted to validate the correctness of the control algorithm and demonstrate the feasibility of controlling high-speed trains as large-scale time-delay systems. This study has yielded theoretical results in large-scale system control, successfully applying results to high-speed train control. The idea and method offer new perspectives and lay the foundation for addressing more complex issues in high-speed trains.

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References

  1. J. Yin, T. Tang, L. Yang, J. Xun, Y. Huang, and Z. Gao, “Research and development of automatic train operation for railway transportation systems: A survey,” Transportation Research Part C: Emerging Technologies, vol. 85, pp. 548–572, 2017.

    Article  Google Scholar 

  2. X. Dai, H. Zhao, S. Yu, D. Cui, Q. Zhang, H. Dong, and T. Chai, “Dynamic scheduling, operation control and their integration in high-speed railways: A review of recent research,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 9, pp. 13994–14010, 2022.

    Article  Google Scholar 

  3. S. Gao, Q. Song, H. Jiang, and D. Shen, “History makes the future: Iterative learning control for high-speed trains,” IEEE Intelligent Transportation Systems Magazine, vol. 16, no. 1, pp. 6–21, 2024.

    Article  Google Scholar 

  4. B. Kaviarasan, R. Sakthivel, and Y. Shi, “Reliable dissipative control of high-speed train with probabilistic time-varying delays,” International Journal of Systems Science, vol. 47, no. 16, pp. 3940–3951, 2016.

    Article  MathSciNet  Google Scholar 

  5. Y. Chen, D. Q. Huang, C. Xu, and H. R. Dong, “Iterative learning tracking control of high-speed trains with nonlinearly parameterized uncertainties and multiple time-varying delays,” IEEE Transactions on Intelligent Transportation Systems, vol. 23, no. 11, pp. 20476–20488, 2022.

    Article  Google Scholar 

  6. X. M. Yao, B. Y. Zhao, X. F. Li, and S. H. Li, “Distributed formation control based on disturbance observers for highspeed trains with communication delays,” IEEE Transactions on Intelligent Transportation Systems, vol. 25, no. 5, pp. 3457–3466, 2024.

    Article  Google Scholar 

  7. X. Tian, D. Huang, N. Qin, Z. Gong, and Q. Wang, “Guaranteed cost optimal control of high-speed train with time-delay in cruise phase,” International Journal of Control, Automation, and Systems, vol. 19, no. 9, pp. 2971–2983, 2021.

    Article  Google Scholar 

  8. Y. H. Tong, Z. Y. Ren, D. B. Tong, Z. P. Fan, and X. Feng, “Combined finite-time state feedback for high-speed train systems with time-varying delays and disturbances,” International Journal of Robust and Nonlinear Control, vol. 34, no. 3, pp. 2184–2205, 2024.

    Article  MathSciNet  Google Scholar 

  9. Z. Li, C. Ni, and D. Huang, “Robust h∞ cruise control of high-speed train with parameter uncertainties, time-varying delays and disturbance,” Proc. of IEEE 16th Conference on Industrial Electronics and Applications (ICIEA), pp. 1901–1906, 2021.

    Google Scholar 

  10. V. L. Kharitonov and A. P. Zhabko, “Lyapunov–krasovskii approach to the robust stability analysis of time-delay systems,” Automatica, vol. 39, no. 1, pp. 15–20, 2003.

    Article  MathSciNet  Google Scholar 

  11. Z. Cai and L. Huang, “Lyapunov-krasovskii stability analysis of delayed filippov system: applications to neural networks with switching control,” International Journal of Robust and Nonlinear Control, vol. 30, no. 2, pp. 699–718, 2020.

    Article  MathSciNet  Google Scholar 

  12. L. Mozelli, F. O. Souza, and R. Palhares, “A new discretized lyapunov-krasovskii functional for stability analysis and control design of time-delayed ts fuzzy systems,” International Journal of Robust and Nonlinear Control, vol. 21, no. 1, pp. 93–105, 2011.

    Article  MathSciNet  Google Scholar 

  13. C. K. Zhang, Y. He, L. Jiang, and M. Wu, “Notes on stability of time-delay systems: Bounding inequalities and augmented lyapunov-krasovskii functionals,” IEEE Transactions on Automatic Control, vol. 62, no. 10, pp. 5331–5336, 2017.

    Article  MathSciNet  Google Scholar 

  14. X.-M. Zhang, Q.-L. Han, and X. Ge, “The construction of augmented lyapunov-krasovskii functionals and the estimation of their derivatives in stability analysis of time-delay systems: A survey,” International Journal of Systems Science, vol. 53, no. 12, pp. 2480–2495, 2022.

    Article  MathSciNet  Google Scholar 

  15. P. Park, J. W. Ko, and C. Jeong, “Reciprocally convex approach to stability of systems with time-varying delays,” Automatica, vol. 47, no. 1, pp. 235–238, 2011.

    Article  MathSciNet  Google Scholar 

  16. M. Wu, Y. He, J.-H. She, and G.-P. Liu, “Delay-dependent criteria for robust stability of time-varying delay systems,” Automatica, vol. 40, no. 8, pp. 1435–1439, 2004.

    Article  MathSciNet  Google Scholar 

  17. J. Lunze, Feedback Control of Large-scale Systems, Prentice Hall New York, 1992.

    Google Scholar 

  18. J. Lygeros, Hierarchical, Hybrid Control of Large-scale Systems, University of California, Berkeley, 1996.

    Google Scholar 

  19. Z. P. Jiang, A. R. Teel, and L. Praly, “Small-gain theorem for iss systems and applications,” Mathematics of Control, Signals and Systems, vol. 7, no. 2, pp. 95–120, 1994.

    Article  MathSciNet  Google Scholar 

  20. Z.-P. Jiang and T. Liu, “Small-gain theory for stability and control of dynamical networks: A survey,” Annual Reviews in Control, vol. 46, pp. 58–79, 2018.

    Article  MathSciNet  Google Scholar 

  21. K. Laib, A. Korniienko, M. Dinh, G. Scorletti, and F. Morel, “Hierarchical robust performance analysis of uncertain large scale systems,” IEEE Transactions on Automatic Control, vol. 63, no. 7, pp. 2075–2090, 2017.

    Article  MathSciNet  Google Scholar 

  22. T. Wang, X. Wang, and W. Xiang, “Reachable set estimation and decentralized control synthesis of large-scale switched systems under mixed switching,” International Journal of Robust and Nonlinear Control, vol. 30, no. 16, pp. 6909–6930, 2020.

    Article  MathSciNet  Google Scholar 

  23. T. Wang, X. Wang, and W. Xiang, “Reachable set estimation and decentralized control synthesis for a class of large-scale switched systems,” ISA Transactions, vol. 103, pp. 75–85, 2020.

    Article  Google Scholar 

  24. W. Xiang, J. Xiao, and L. Han, “Decentralized weighted control for a class of large-scale systems with multi-modes,” International Journal of Robust and Nonlinear Control, vol. 24, no. 18, pp. 3387–3408, 2014.

    Article  MathSciNet  Google Scholar 

  25. M. Hirata, K. Z. Liu, and T. Mita, “Active vibration control of a 2-mass system using μ-synthesis with a descriptor form representation,” Control Engineering Practice, vol. 4, no. 4, pp. 545–552, 1996.

    Article  Google Scholar 

  26. K. Zhou and J. C. Doyle, Essentials of Robust Control, Pearson, Upper Saddle River, vol. 38, 1998.

    Google Scholar 

  27. H. Shao, “Improved delay-dependent stability criteria for systems with a delay varying in a range,” Automatica, vol. 44, no. 12, pp. 3215–3218, 2008.

    Article  MathSciNet  Google Scholar 

  28. K. Gu, “An integral inequality in the stability problem of time-delay systems,” Proc. of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), vol. 3, pp. 2805–2810, 2000.

    Article  Google Scholar 

  29. X. Wang, L. Zhu, H. Wang, T. Tang, and K. Li, “Robust distributed cruise control of multiple high-speed trains based on disturbance observer,” IEEE Transactions on Intelligent Transportation Systems, vol. 22, no. 1, pp. 267–279, 2021.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Electrical Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Tao Wang, Jiaping Liao & Jikun Li

Authors
  1. Tao Wang
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  2. Jiaping Liao
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  3. Jikun Li
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Corresponding author

Correspondence to Tao Wang.

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The authors declare that there is no conflict of interest.

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This work was supported by the National Natural Science Foundation of China (U21A20169) and Natural Science Foundation of Sichuan Province(2022NSFSC0451).

Tao Wang is currently a Professor of electrical engineering at Southwest Jiaotong University, Chengdu, China. He received his Ph.D. degree in traffic information engineering and control from Southwest Jiaotong University in 2007. His research interests include electric traction control systems, computer control systems, and control theory and applications.

Jiaping Liao received his M.Eng. degree in electrical engineering from the School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China, in 2024. His main research interests include control system stability and data-driven control methods.

Jikun Li is currently an Associate Professor of electrical engineering at Southwest Jiaotong University, Chengdu, China. She received her master’s degree in electrical engineering and automation from Southwest Jiaotong University in 2004. Her research interests include power supply, traction motor control, and electromagnetic compatibility.

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Wang, T., Liao, J. & Li, J. Robust Cruise Control for Large-scale System of High-speed Train With Parameter Uncertainties and Time-varying Delay. Int. J. Control Autom. Syst. 22, 3083–3094 (2024). https://doi.org/10.1007/s12555-023-0722-y

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  • DOI: https://doi.org/10.1007/s12555-023-0722-y

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