“…In addition, it should be highlighted that this procedure has already been successfully applied to the dynamic positioning of remotely operated vehicles (Bessa et al, 2008, vibration suppression in smart structures (Bessa et al, 2013), tracking of unstable periodic orbits in a chaotic pendulum (Bessa et al, 2014), and depth regulation of a diving cell (Bessa et al, 2015). Now, considering that the adopted sliding surface is a stable manifold (Ashrafiuon and Erwin, 2008), we just have to prove its attractiveness, in order to ensure exponential convergence and stability of the proposed controller (Slotine and Li, 1991;Khalil, 2001).…”