Control oriented formulation for structures interacting with moving loads

This paper addresses the control oriented formulation of structures interacting thorough moving contact points. The example used for illustration is the dynamic interactions of moving vehicles and bridges structure. Such systems are time varying due to the moving vehicles. The system representation can be partitioned into time invariant part (bridge and vehicle dynamics) and time varying part (moving contact points). Such system's approach facilitates modularized analytical model development, analysis, simulation, and control system design. Block diagram based simulation with integral causality will be presented to demonstrate the utility of this approach for parametric investigation of the system dynamics. Further, it will be shown that such problem can be put into the linear parameter varying (LPV) standard feedback form to exploit the available theoretical and numerical tools.