Static output-feedback vibration control of seismically excited buildings: An effective multistep approach

Static output-feedback (SOF) controllers are particularly interesting for vibration control of complex structures under a multiactuation scheme. In this chapter, we present a novel iterative linear matrix inequality computational procedure that allows designing high-performance SOF controllers for vibration control of multistory buildings equipped with a distributed set of interstory actuators. The effectiveness of the proposed methodology is illustrated by designing an SOF H ∞ controller for the seismic protection of a 20-story building equipped with a complete set of interstory actuators and a system of collocated interstory-velocity sensors. Numerical simulations of the building response using a near-fault impulsive-type seismic disturbance demonstrate the high-performance characteristics of the obtained SOF controller and its robustness against broadband seismic excitations.