A nonlinear controller is developed using gain-scheduled adaptation for a s
ix-story, base-isolated office building subjected to strong earthquakes. Se
veral linearized models and a scheduled piecewise linear model of the struc
ture are developed using a finite-element nonlinear model. Compensators are
designed, based on the H. control design method using the linearized model
s. The family of designed compensators is then gain-scheduled. The selected
scheduling variable is a combination of the interstory ductility and the m
easured earthquake magnitude. The performance and robustness of the gain-sc
heduled adaptive controller is extensively studied for a variety of earthqu
ake records and uncertainties, ranging from structure parameter variations
to controller hardware-related time delays. All controller simulations are
performed using the detailed finite-element nonlinear structure model. A ke
y advantage of the gain-scheduled adaptive controller, compared to a consta
nt-gain controller, is the reduction of up to 40% in the applied control fo
rces while maintaining the same closed loop performance.