“…Traditional semiactive controllers, such as the on-off controller, fuzzy controller, and clip-optimal controller, do not guarantee system stability (Liao et al, 2011;Zhu et al, 2014;Nguyen et al, 2018a;Jansen and Dyke, 2000). Recently, many scientists have proposed improved versions of the controllers, such as the adaptive sliding mode controller (Fei and Xin, 2012;Fallah and Taghikhany, 2015), the adaptive fuzzy sliding mode controller (Nguyen et al, 2017a;Phu et al, 2014), and the robust adaptive controller for semiactive controller (Nguyen et al, 2018b). These methods guarantee zero convergence of the displacement response and provide robust stability.…”