Abstract In this paper a new method for online parameter identification and damage detection in smart building structures that are subjected to arbitrary seismic excitation is proposed. It uses real-time measurements of a structure's motion to identify its unknown constant or piecewise constant parameters such as stiffness, damping and mass over the time. The method is based on elements of system synchronization and adaptive control theories. First, a computational system, called the virtual system, is defined. Next, by using properly designed controller and estimations for the unknown parameters, the state of the virtual system is forced to follow the measured motion of the real structure. The mentioned estimations are computed from a proposed update law which depends on the measured motion of the real structure and the virtual system’s state. A major theoretical novelty of this paper is a proposed convergence condition which is applicable in case of arbitrary external forces or ground acceleration. It is shown that upon the satisfaction of that condition, as the synchronization completes, the computed estimation function converges to the true value of the vector of unknown parameters. In addition, an important practical contribution presented in this study is the introduction of a technique called scale factors. It helps to use available initial guesses of the unknown parameters to improve the speed of online identification. Numerical examples show that the proposed method is promising and has a good performance in both online identification and online damage detection problems.

中文翻译：

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基于虚拟同步和自适应控制设计的地震激发智能建筑结构在线参数识别新方法的开发

摘要 本文提出了一种在任意地震激发下智能建筑结构在线参数识别和损伤检测的新方法。它使用结构运动的实时测量来识别其未知的常数或分段常数参数，例如随时间变化的刚度、阻尼和质量。该方法基于系统同步和自适应控制理论的要素。首先，定义了一个称为虚拟系统的计算系统。接下来，通过使用正确设计的控制器和对未知参数的估计，虚拟系统的状态被迫跟随真实结构的测量运动。提到的估计是根据建议的更新定律计算的，该更新定律取决于真实结构的测量运动和虚拟系统的状态。本文的一个主要理论创新是提出了适用于任意外力或地面加速度的收敛条件。结果表明，在满足该条件时，随着同步完成，计算出的估计函数收敛到未知参数向量的真实值。此外，本研究中提出的一个重要的实际贡献是引入了一种称为比例因子的技术。它有助于使用未知参数的可用初始猜测来提高在线识别的速度。数值算例表明，所提出的方法是有前途的，并且在在线识别和在线损坏检测问题上都具有良好的性能。