Time-Varying LQG Control for Vibration of Coupled Vehicle-Bridge System

Abstract:

Time-varying linear quadratic Gaussian (LQG) control for vibration of coupled vehicle-bridge system is studied. The vehicle is modeled as a moving mass model with three degrees of freedom, which consists of vehicle body, bogie and wheel. Active suspensions are adopted for the primary and secondary ones, and the control forces are produced by two actuators placed between the bogie and wheel, and between the vehicle body and the bogie, respectively. Vehicle-bridge coupling systems are time-dependent, which lead to the time-varying Riccati differential equation and the time-varying Kalman-Bucy filter equation in the LQG controller design. However, both of them are solved precisely via precise integration method and symplectic conservative perturbation method. In the example, the time history responses of the bridge and the vehicle were calculated respectively for the vehicle with passive suspensions or with active suspensions. Numerical results show that with active suspensions adopted, ride comfort can be improved when the vehicles passing through the bridge.

• Periodical: Applied Mechanics and Materials (Volumes 347-350)
• Pages: 541-547
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.347-350.541
• Online since: August 2013
• Authors: Gang Song
• Keywords: LQG Control, Precise Integration, Symplectic Conservative Perturbation, Time-Varying, Vehicle-Bridge Coupling

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