“…However, it is equally difficult to produce an appropriate mathematical method for fractional order controller of the dynamical system (Podlubny, 1998; Ghommam et al , 2020). Toward this goal, a wide number of researchers have contributed with different controller designs based on feedback linearization (Zhou et al , 2014; Martins et al , 2021), sliding mode control (SMC) (Cheng et al , 2017; Bist and Sondhi, 2020), backstepping control (Shi et al , 2019; Zhao et al , 2021), fuzzy logic control (Liu et al , 2015; Unal, 2021), etc.…”