“…Mostly based on different mathematical models and for different purposes, a range of designs of control system are presented in the literature associated to space tether systems as, for example, feedback linearization (Mankala and Agrawal, 2005, 2006; Trushlyakov and Yudintsev, 2020), optimal control (Feng et al, 2020; Li et al, 2021; Lu et al, 2021) optimal control and control of chaos (Barkow et al, 2003), passivity based control design (Larsen and Blanke, 2011), proportional-derivative control law with gain scheduling (Botta et al, 2020) and based on the SDRE method (Kuo, 2016). In recent years, green technologies are raising interest with electrodynamic tethers generating control forces by interacting with the ionosphere (Bechasnov, 2021; Sarego et al, 2021). An electrodynamic tether can be manipulated indefinitely but only for very low Earth orbits and under many other limitations (Lu et al, 2019; Xie et al, 2021; Yao and Sands, 2021).…”