Research On Control Of Large-scale Switched Systems And Its Application In High-speed Trains

Switched system is an important hybrid system.It consists of multiple subsystems and the description of switching rules between these subsystems.With the development of science and technology,the scale of system continues to expand and the complexity continues to deepen.Beside,there are many switching in these systems.Therefore,the switched system theory has received more and more attention in recent years.According to the different switching rules and nature of subsystems,switched systems can be divided into many types,such as affine switched systems,large-scale switched systems,time-delay switched system.For different types of switched systems,the stability analysis methods are also different.Based on the summary of the existing research results for switched system,this paper research on the stability of large-scale switched systems,controller design and reachable set estimation.Beside,these theories are used in the fault-tolerant control of high-speed train.Building a mathematical model of high-speed trains based on large-scale switched systems and performing the simulation analysis.The main content of the full paper is as follows:Firstly,a mathematical model of a large-scale switched systems is established.Large-scale switched systems are composed of multiple subsystems,and each subsystem is interrelated.It is emphasized that each subsystem has multiple modes and the switching rules may be different in different mode.Secondly,the stability and control of large-scale switched systems are studied under the average dwell time and arbitrary switching rules.Based on the Lyapunov function,the relevant theoretical theorem can be proved.The system stability and controller design can be realized by solving multiple sets of linear matrix inequalities to ensure the system globally uniformly asymptotically stable.The numerical simulation is built in MATLAB / Simulink to verify the correctness of relevant theories.Thirdly,in the case of external bounded interference,the reachable set estimation and controller design problems of large-scale switched systems are studied under mixed switching rules.Based on the multidimensional scale sphere technology,the relevant theorems are proved.These theorems can obtain a minimum set of the states for large-scale switched systems and the method of controller design by solving the linear matrix inequality to ensure the system globally uniformly asymptotically stable.The correctness of the relevant theories can been verified by the numerical simulation and the inverted pendulum model simulation in MATLAB / Simulink.Finally,a high-speed train fault-tolerant control method based on large-scale switched systems is developed.a multi-mass-point model of high-speed train based on large-scale switched systems is established and the decentralized controllers are designed based on the relevant conclusions in this paper.In addition,the problem of reachable set estimation and stabilization control of high-speed train in the case of external bounded interference is studied.According to the reachable set estimation theories studied in this paper,the trajectory set of the train system speed error is estimated and decentralized controllers is designed to guarantee the speed error of high-speed train globally uniformly asymptotically stable.Taking CRH-5 as the model and the fault-tolerant control algorithm is established to verify the correctness of relevant theories in MATLAB/Simulink.