“…Much work has been done in the field of semi-active control of structures in general and of base isolated structures in particular. Among other references, Nagarajaiah et al (1993) studied a variable normal force friction device, Yang et al (1996) considered variable stiffness devices, Makris (1997) proposed an electrorheological damper to mitigate effects of near fault pulse-like ground motions, Dyke et al (1998) proposed a phenomelogical model for MR dampers based on the Bouc-Wen hystreresis model, Gavin et al (2003) carried out a parametric study of a 3D base isolated structure, taking into account the effect of possible unequal response times of the adaptive fluid dampers, Wongprasert and Symans (2005) investigated experimentally the response of base-isolated structures equiped with semi-active hydraulic dampers, Narasimhan (2004) and Nagarajaiah and Narasimhan (2007) considered the application of H 2 and H ∞ controlers to variable stiffness and damping SAC devices, Sahasrabudhe and Nagarajaiah (2005) conducted analytical and experimental studies on the efficacy of a bang-bang semi-active controler imitating a sky-hook damper, Chang et al (2008) applied a semi-active control strategy with MR dampers to a 3D benchmark base isolated building. More recently Pozo Montero et al (2009) applied a non-linear velocity based control to a 3D benchmark problem, Zapateiro et al (2009) applied a non-linear adaptive back-stepping to a base isolated structure with MR dampers, Bahar et al (2010) proposed an accurate method for the parameter identification of a Bouc-Wen based model of MR dampers, Ozbulut and Hurlebaus (2010) proposed two fuzy logic controllers for variable friction devices to control the response of base isolated structures.…”