Application of Adaptive Wavelet Networks for Vibration Control of Base Isolated Structures Hamid Reza Karimi 1 , Mauricio Zapateiro 2 and Ningsu Luo 2 1 Faculty of Technology and Science, University of Agder, Serviceboks 509, N-4898 Grimstad, Norway 2 Institute of Informatics and Applications. University of Girona, Campus de Montilivi, Ed. P4. 17071, Girona, Spain Abstract - This paper presents an application of wavelet networks (WNs) in identification and control design for a class of structures equipped with a type of semiactive actuators, which is called magnetorheological (MR) dampers. The nonlinear model is identified based on a WN framework. Based on the technique of feedback linearization, supervisory control and ∞ H control, an adaptive control strategy is developed to compensate for the nonlinearity in the structure so as to enhance the response of the system to earthquake type inputs. Furthermore, the parameter adaptive laws of the WN are developed. In particular, it is shown that the proposed control strategy offers a reasonably effective approach to semi-active control of structures. The applicability of the proposed method is illustrated on a building structure by computer simulation. Keywords: Vibration control; wavelet network; system identification; ∞ H control, nonlinear structures AMS Subject Classification: 42C40, 93B30, 93B36 1 Corresponding author. E-mail address: hamid.r.karimi@uia.no (hrkarimi)