Active Control of Buildings With Bilinear Hysteresis and Time Delay

In this paper, an active controller for buildings with bilinear hysteresis and time delay is studied. The bilinear hysteretic model is treated as a stiffness restoring force. By using specific transformation and augmentation of state parameters, the equation of motion of the system with an explicit time delay is transformed into a standard state space where there is no explicit time delay. A linear quadratic Gaussian control method is proposed for the controller design with time delay. The method is verified with numerical simulations of three-story and 20-story buildings. Comparison study of simulation results indicates that the control performance will deteriorate if the time delay is not taken into account in the control design. The proposed time-delay controller not only effectively compensate the time delay for better control effectiveness, but it also works well with both small and large time-delay problems.