Fuzzy Identification of Seismically Excited Smart Systems

1. Introduction

The development of an accurate explicit mathematical model of dynamical systems is one of the most important tasks in structural health monitoring and control system design for hazard prediction and mitigation of dynamical systems because precise mathematical information related to the dynamic systems is used for damage prediction and/or calculation of control forces (Kerber et al. 2007; Yen & Langari 1998; Lin et al. 2001; Bani-Hani 1999; Kim et al. 2011). However, it is still challenging to derive a mathematical model of nonlinear dynamic systems (Moon & Aktan 2006). An example of such nonlinear dynamic systems can be sought when highly nonlinear hysteretic actuators/dampers are applied to structural systems for efficient energy dissipation: the structure integrated with the nonlinear control devices behaves nonlinearly although the structure itself is usually assumed to remain linear (Yi et al. 2001; Ramallo et al. 2004). Because the structure integrated with the nonlinear hysteretic control device is intrinsically nonlinear, it is challenging to develop an appropriate mathematical model for the integrated nonlinear system including the interaction effects between the structural system and the nonlinear control device while it plays a key role in both structural health monitoring and controlling system (Dyke et al. 1998).