Optimising liquid level in a spherical two tank interacting system with fractional order PID control via hybrid POA-RERNN approach

This paper proposes a hybrid technique for liquid level in a spherical two tank system. Of the three controllers, the fractional-order internal model controller (FOIMC) was tuned using the proposed fractional-order proportional integral derivative (FOPID) controller in an interacting system (TTSIS). Recalling-enhanced recurrent neural network (RERNN) and pelican optimisation algorithm (POA) combined performance is the proposed hybrid technique. The FOPID controller is used to control the system's level. The hybrid approach that has been proposed tunes the FOPID's ideal gain parameter. The proposed method's performance is evaluated using the MATLAB site and contrasted with other methods that are currently in use, such as the whale optimisation algorithm (WOA), particle swarm optimisation (PSO), and Salp swarm algorithm (SSA). After analysing the control efforts (errors) and robustness, it is determined that the proposed approach has better robustness than the current methods and requires less control effort overall.