H∞ Control of High-Speed Train Stochastic Systems with Uncertainties, Disturbances, and Time-Varying Delays

This paper mainly studies the networked stochastic system stability and H infinity control when the multi-particle model of high-speed train (HST) is transformed into the Takagi-Sugeno (T-S) fuzzy model. Firstly, the sampling control system with two sampling frequency is set up, dealing with the sampling control system with input time delay method, turning it into continuous system with time-varying delay, introducing a meet the Bernoulli distribution of random variables, by aid of these methods establish model. Secondly, the design method of state feedback controller for networked stochastic system of high-speed train is given, and the closed-loop system of this model is obtained. Finally, the stability of the system is analyzed by the proper Lyapunov-Krasovskii functional (LKF) of the component, and the sufficient condition of the mean square asymptotically stable of the closed-loop system under the constraint of performance index H infinity is obtained by further considering the norm bounded uncertainty in the system.