Sequential design of multioverlapping controllers for structural vibration control of tall buildings under seismic excitation

摘要

In this article, a computationally effective strategy to obtain multioverlapping controllers via the inclusion principle isudapplied to design a state-feedback multioverlapping linear-quadratic regulator controller for a 20-story building. The proposedudsemidecentralized controller only requires state information of neighboring stories to compute the correspondingudcontrol actions. This particular information exchange configuration allows introducing a dramatic reduction in the transmissionudrange required for a wireless implementation of the communications system. More specifically, just a one-storyudtransmission range is required by the proposed multioverlapping controller, while a full-building transmission rangeudwould be necessary in a classical centralized design. From a computational point of view, the presented design strategyudonly involves the actual computation of a reduced set of low-dimension controllers. The numerical simulations indicateudthat despite the simplified low-dimension design and the severe information exchange constraints, the proposed semidecentralizedudmultioverlapping controller achieves a surprisingly high level of seismic attenuation when compared with theudcentralized linear-quadratic regulator controller.