Active Control of Lateral Vibration for Bogie Using Variable Structure Model Reference Adaptive Control

Lateral vibration and hunting is a known phenomenon in dynamics of railway vehicles. In this paper critical velocity of conventional bogie is investigated. The conventional bogie consists of two wheelsets with two degrees of freedom and one frame with one degree of freedom. The forward velocity is assumed constant and bogie travels in straight line. Contact forces are calculated by linear Kalker's theory. Linearized equations of motion are considered. Then a controller is designed for controlling these vibrations with using four actuators replaced by longitudinal and lateral suspension. A variable structure model reference adaptive controller using state variables is proposed for stabilizing the system. Adaptation law is of variable structure type and switching functions is designed based on stability requirements. Global exponential stability is proved based on Lyapunov criterion.