The paper deals with the formulation of semiactive controllers for a class
of nonlinear seismically excited base-isolated structures in order to reduc
e the absolute motion of the base and the inter-story drifts of the buildin
g structure. The advantage of the proposed control scheme is that semiactiv
e control devices are only required at the base and the first floor to adju
st on-line the damping and stiffness using their displacements and velociti
es as feedback information. The feedback control law is derived and analyze
d via Lyapunov stability techniques. A numerical example is given to illust
rate the effectiveness of the control scheme for a 10-story frictional base
-isolated structure subject to seismic actions. (C) 2001 The Franklin Insti
tute. Published bs Elsevier Science Ltd. All rights reserved.