“…The design of nonlinear observers, especially with unknown disturbances is difficult and complicated [Shang and Liu(2011)]. In some researches, the nonlinear system is linearzed or partially linearized [Schwung et al(2015)Schwung, Beck, and Adamy, Wei et al(2017)Wei, Qiu, Shi, and Wu,Li et al(2017)Li, Wang, Aitouche, Tian, and Christov,Ma et al(2018 Ma, Liu, Li, and Yang]. Silding-model observer (SMO) technique shows some effectiveness for fault estimation, as in a Takagi-Sugeno model Li, Wang, Aitouche, and Christov], a satellite attitude control system [Zhang et al(2013) Zhang, Swain, and Nguang], and an extended fixed-time SMO applied in FTC for an unmanned airship [Zhou et al(2022)Zhou, Li, Yang, Xu, Yu, and Zhang].…”