“…In the last few decades, increasing attention has been paid to fractional order calculus as a powerful tool with which to model and control real industrial processes (Bagley & Calico, 1991;Podlubny, 1999;Feliu-Batlle et al, 2005;Monje et al, 2010;Tavakoli-Kakhki et al, 2010). These controllers have been successfully applied during the control of water distribution in main irrigation canal pools (Calderon-Valdez et al, 2009;Feliu et al, 2009;Feliu-Batlle et al, 2011).…”