Abstract

Focusing on exploring optimal control method of high-speed train, this research explicitly introduces a fuzzy predictive control framework to enhance safety, comfort, and energy-efficiency. The dynamic equation of the high-speed train is modeled as a cascade of cars connected by spring-like couplers and then represented by Takagi–Sugeno fuzzy model. Based on model predictive control approach, an effort is made on the design of fuzzy predictive controller such that each car tracks the target speed, and every coupler is stabilized to the equilibrium state as well as optimizing the performance function value at every time instant with regard to accelerating and braking constraints. Sufficient conditions for the existence of corresponding controller optimization problem are given in a set of linear matrix inequalities. Some simulations are performed to show the effectiveness of the model and the algorithm.

Highlights

  • Background and literature reviewSince the world’s first high-speed railway, Japan Tokaido Shinkansen, was put into commercial operation in 1964, high-speed railway systems have attracted much attention as they can provide greater transport capacity, significantly faster speeds, and outstanding features of punctuality when compared to aircraft and auto vehicle

  • X(kjk) ÀH(k) the control gain Fl(k) = Yl(k)G(k)À1 is obtained to guarantee each car tracks the predefined velocity profile, every coupler is stabilized to the equilibrium state, and the upper bound of performance objective function (15) is minimized

  • The control gain Fl(k) = Yl(k)G(k)À1 is obtained to ensure each car tracks the desired velocity profile, every coupler is stabilized to the equilibrium state as well as the upper bound of performance objective function (15) is being minimized

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Summary

Introduction

Since the world’s first high-speed railway, Japan Tokaido Shinkansen, was put into commercial operation in 1964, high-speed railway systems have attracted much attention as they can provide greater transport capacity, significantly faster speeds, and outstanding features of punctuality when compared to aircraft and auto vehicle. High-speed railways have gone through a rapid development in Europe, Russia, Japan, China, and many other developing countries. As the high-speed railway networks are becoming more and more complex, many new challenging technical and commercial issues such as reduction of energy consumption, safety, and comfort have been brought up. With the breakthrough in computer control and communication technology, the automatic train control (ATC) system is equipped to automatically supervise the train speed to follow a desired trajectory which makes it possible to operate the train in a safe, energyefficient, and comfortable way.[1,2,3].

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