“…Currently, online joint estimation of states and hysteretic parameters of nonlinear structures is a challenging research area in the engineering field. In recent years, extensive research studies such as the methods of the extended Kalman filter (Astroza et al, 2019; Ebrahimian et al, 2015; Yang and Ma, 2003; Zhang et al, 2002), least-squares estimation (Huang et al, 2009; Mu et al, 2013; Wu et al, 2015; Yang et al, 2006, 2012; Yang and Huang, 2007), unscented Kalman filter (Al-Hussein and Haldar, 2015; Asgarieh et al, 2014; Astroza et al, 2017; Astroza and Alessandri, 2019; Wu and Smyth, 2008), ensemble Kalman filter (Ghanem and Ferro, 2006), particle filter (Chatzi and Smyth, 2009; Wan et al, 2018) have been developed. In fact, it can be said that among the proposed methods, Bayesian inference–based techniques provide a robust solution for system identification using probabilistic logic and have been widely used for engineering applications (Huang and Beck, 2018; Yuen and Mu, 2015; Yuen et al, 2019).…”