An input-to-state stabilizing control approach for non-linear structures under strong ground motions

摘要

The bottom and other vulnerable floors of civil structures usually have large, non-linear-inducedndeformation due to seismic excitations, possibly bring about the total collapse of the overall structures.nRepresenting severe local damage is a distinct subsystem property of civil structures. Hence, it may be morenconvenient to design decentralized controllers that depend only on information regarding the local statesnfor control command calculation as the decentralized controllers may pay more attention to a particularnvulnerable subsystem. In this study, a non-linear robust control approach is proposed to address thenvibration control problem of civil structures using the subsystem property. The overall structure isndecomposed into several subsystems, with different subsystems adopting corresponding controlnalgorithms. The input-to-state stability of the entire system can be guaranteed by the proposed controlnmethod. Furthermore, H infinity performance is achieved through a subsystem with the proposedncontroller. Finally, numerical examples are presented to demonstrate the effectiveness and robustness ofnthe proposed controller. Copyright r 2009 John Wiley & Sons, Ltd.