Metamodel-based Optimization of a PID Controller Parameters for a Coupled-tank System

Keywords: Radial basis function, Metamodeling, Liquid mixing process, Numerical optimization (ProQuest: ... denotes formulae omitted.) 1.Introduction Liquid level control is crucial in industrial applications, especially in chemical process industries. The reported works showed that metamodeling can be used to simplify complex models and give approximate solutions within a short time. [...]this work investigates using a RBF metamodel to optimize a controller for a coupled-tank system. 2.RBF Metamodel In this work, RBF is utilized to tune and find the optimal parameters of a PID controller. Considering a simple mass balance, the rate of change of liquid volume in each tank equals the net flow of liquid into the tank. [...]the dynamic equations for tank 1 and tank 2 are as follows: ... The initial data sets require a proper identification in order to train the RBFNN to achieve the best approximation. [...]the initial data sets should cover the maximum and minimum value of the large data sets to prevent falling into extrapolation conditions that result unacceptable solutions.