Although the high-speed railways in China have been greatly advanced in the past decades with respect to expanding networks and increasing speed, a fixed block system, which separates the trains with several stationary track block sections, is utilized to guarantee the safe operation of multiple trains. A moving block system, which enables the moving authority of a high-speed train to be the real-time positioning point of its preceding one (plus some necessary safe redundant distance, of course), is under development to further make full use of the high-speed railway lines and improve the automation level by automatic train operation for high-speed trains. The aim of this paper is to design a distributed cooperative control for high-speed trains under a moving block system by giving a cooperative model with a back-fence communication topology. A nonlinear mapping-based feedback control method together with a rigorous mathematic proof for the global stability and ultimate bound of the closed-loop control systems is proposed. Comparative results are given to demonstrate the effectiveness and advantages of the proposed method.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Dong H R, Gao S G, Ning B. Cooperative control synthesis and stability analysis of multiple trains under moving signaling systems. IEEE Trans Intel Transp Syst, 2016, 17: 2730–2738
Canavan S, Graham D J, Melo P C, et al. Impacts of moving-block signaling on technical efficiency. Trans Res Record-J Transp Res Board, 2015, 2534: 68–74
Wang H F, Tang T, Roberts C, et al. A novel framework for supporting the design of moving block train control system schemes. Proc Institution Mech Eng Part F-J Rail Rapid Transit, 2014, 228: 784–793
Gao S G, Dong H R, Ning B, et al. Cooperative adaptive bidirectional control of a train platoon for efficient utility and string stability. Chin Phys B, 2015, 24: 090506
Chen F, Ren W, Lin Z L. Multi-leader multi-follower coordination with cohesion, dispersion, and containment control via proximity graphs. Sci China Inf Sci, 2017, 60: 110204
Zhou J L, Yang J Y, Li Z K. Simultaneous attack of a stationary target using multiple missiles: a consensus-based approach. Sci China Inf Sci, 2017, 60: 070205
Zhang Y, Su Y F. Cooperative output regulation for linear uncertain MIMO multi-agent systems by output feedback. Sci China Inf Sci, 2018, 61: 092206
Yan X H, Cai B G, Ning B, et al. Online distributed cooperative model predictive control of energy-saving trajectory planning for multiple high-speed train movements. Transp Res Part C-Emerg Technol, 2016, 69: 60–78
Su S, Tang T, Roberts C. A cooperative train control model for energy saving. IEEE Trans Intel Transp Syst, 2015, 16: 622–631
Yang X, Li X, Gao Z Y, et al. A cooperative scheduling model for timetable optimization in subway systems. IEEE Trans Intel Transp Syst, 2013, 14: 438–447
Gao S G, Dong H R, Ning B, et al. Neural adaptive coordination control of multiple trains under bidirectional communication topology. Neural Comput Applic, 2016, 27: 2497–2507
Ge S S, Wang C. Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans Neural Netw, 2004, 15: 674–692
Polycarpou M M. Stable adaptive neural control scheme for nonlinear systems. IEEE Trans Autom Control, 1996, 41: 447–451
Gao S G, Dong H R, Ning B. Neural adaptive dynamic surface control for uncertain strict-feedback nonlinear systems with nonlinear output and virtual feedback errors. Nonlinear Dyn, 2017, 90: 2851–2867
Gao S G, Dong H R, Chen Y, et al. Approximation-based robust adaptive automatic train control: an approach for actuator saturation. IEEE Trans Intel Transp Syst, 2013, 14: 1733–1742
Cunningham J F, Grossman N. On Young’s inequality. Am Math Mon, 1971, 78: 781–783
This work was supported by Fundamental Research Funds for Central Universities (Grant No. 2018JBM077), National Natural Science Foundation of China (Grant Nos. 61790573, 61703033) and State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University (Grant No. RCS2018ZT013).
About this article
Cite this article
Ning, B., Dong, H., Gao, S. et al. Distributed cooperative control of multiple high-speed trains under a moving block system by nonlinear mapping-based feedback. Sci. China Inf. Sci. 61, 120202 (2018). https://doi.org/10.1007/s11432-018-9563-y
- high-speed trains
- moving block system
- cooperative control