Instantaneous Optimal State Feedback Control of Seismic Response using MR Dampers

Abstract

Instantaneous Optimal Control is used to obtain desired force from MR damper fitted to a seismically excited building. Excitation is considered when minimizing performance index, unlike in classical optimal controllers. Modified Bouc-Wen damper model and on-off voltage law is considered. Various forms of state weighting matrix are considered for controller design. IOC is compared with LQR/LQG and PON control. It yields reduction in: maximum peak interstorey drift; and generally in accelerations vis-a-vis LQR/LQG. IOCSF Riccati Matrix Type controller appears most effective, yielding: lowest maximum peak drift/acceleration and generally best storeywise drift control vis-a-vis PON/LQR/LQG; substantially lower peak accelerations vis-a-vis LQR/LQG.