“…For this reason, the IP system was extended by introducing the Rotary-IP (RIP) system which has two main components including the arm which can rotate in the horizontal plane and the pendulum connected to the arm which can rotate in the vertical plane (Dwivedi et al, 2017; Du et al, 2019; Fukushima et al, 2014; Nath and Dewan, 2017; Watson et al, 2019), whereas the RIP system is an underactuated system with interesting features including nonlinear characteristics and availability, so it is considered as an experimental case study (Kim et al, 2019; Mehedi et al, 2020; Park and Chwa, 2009; Pujol-Vazquez et al, 2018; Roy et al, 2021; Wang et al, 2014). All in all, stability of the position and angular velocity of the arm and up-right balancing of the pendulum are the fundamental control objectives concerned to the RIP system (Hamza et al, 2019; Huang et al, 2012; Li et al, 2017; Wang et al, 2020b; Yiğit, 2017). Due to this reason, some control methods have been applied in the target of stability and swing-up control of the RIP system (Hazem et al, 2020; Patil et al, 2018; Sun et al, 2018; Wasiwitono et al, 2021; Rahmani et al, 2021).…”