“…Especially in the case of external disturbances acting on time-delay systems, an input-time-delay even degrades the disturbance rejection capability, for a certain degree of different phases between the input control and the disturbances. To improve the disturbance rejection performance in input-time-delay systems, many methods, such as repetitive control (RC) (Inoue et al, 1981a; Pérez-Arancibia et al, 2010; Yamamoto and Hara, 1988), disturbance observer (DOB) (Musmade and Patre, 2015; Natori and Ohnishi, 2008; Shim et al, 2008) and robust control (Hua et al, 2007; Kwon and Park, 2004; Wang et al, 2013) have been proposed. The extended state observer (ESO) is a typical method in active disturbance rejection control (ADRC), which is used for measuring the total disturbance in delay-free systems.…”