H∞ cruise control for high-speed trains with process and data transmission time-varying delay

• Published in: Transactions of the Institute of Measurement and Control 2023-12, Vol.45 (16), p.3173-3186
• Main Authors: Zhang, Xiuxiu, Cui, Yanliang
• Format: Article
• Language: English
• Subjects: Control methods; Couplers; Cruise control; Data transmission; Feedback control; Gusts; H-infinity control; High speed rail; Linear matrix inequalities; Mathematical models; Multibody systems; State feedback; Time delay systems; Time varying control
• ISSN: 0142-3312; 1477-0369
• DOI: 10.1177/01423312231160303

This paper investigates an H∞ cruise control strategy for uncertain high-speed trains (HSTs) with two time-varying delays. The multibody model of the cascading car is established, taking into account the influence of the flexible coupler and the basic resistance (rolling mechanical resistance + aerodynamic resistance) in the actual operation process. There are many uncertainties in the actual operation of the train, such as disturbances caused by gusts and track irregularities and time-varying delays caused by flexible couplers. Based on the above factors, this paper fully considers and supplements the multibody model. A cruise control strategy based on Lyapunov stability theory and linear matrix inequality (LMI) is proposed. The state feedback control rate with input short time delay is designed, and a cruise control method with double time-varying delays is proposed by sampling data. Constructed Lyapunov–Krasovskii function (LKF) with time-delay parameters for time-delay systems to fully introduce the information of time delays. In view of the disturbance effect, the sufficient condition to suppress the disturbance is given. The proposed H∞ cruise control method controls the fluctuating speed and displacement of the train to quickly converge to the steady state. The HST at equilibrium tracks the desired velocity and ensures a stable relative displacement. The specified H∞ interference attenuation level is achieved to ensure safe and comfortable operation. Two numerical simulations are carried out to illustrate the effect of state time-varying delay and disturbance on train stationarity, which proves the superiority of the proposed method.