Vibration control of a building with magneto-rheological-dampers based on interconnection and damping assignment

The design of a passivity based control law with interconnection and damping assignment (PBC-IDA) to decrease story displacements of a building subject to seismic excitation is presented. A magneto-rheological damper (MRD), installed between ground and first story, is used as actuator. The building-MRD model is posed in port controlled Hamiltonian equations (PCHE). It incorporates a novel non-linear dynamical model for the damper that guarantees passivity of the building-MRD model. Simulation results indicates large reductions in story displacements