Abstract
This paper develops an analytical approach to the estimation of seismic random response of multi-degree-of-freedom elasto-plastic systems with bilinear hysteretic characteristics under the saturation control force. Numerical calculations are carried out and the efficiency of the theoretical nonlinear control approach is examined cocerning interstory floor displacement, velocity, absolute acceleration response, ductility factor and shear force coefficient. Trade-off relationship between nonlinear effect of control force and hysteretic energy dissipation based on energy balance is also examined. The usefulness of the analytical approach under seisimic random earthquake excitiation is demonstrated through the simulation analysis.