An Investigation on Hybrid Optimization-Based Proportional Integral Derivative and Model Predictive Controllers for Three Tank Interacting System

Abstract

This paper deals with the mathematical model for three tank series interacting system, and level control in three tank interacting system is not an easy job, because of the nonlinear behavior due to the interaction of the peer tanks. Here, the accurate transfer function and state space model are obtained by the first principle method. In this process, two cases are considered one with single input in the first tank and the single output in third tank, i.e., single input and single output system (SISO), and other with two inputs in first cum third tank and single output as the third tank, i.e., two input and single output (MISO) system. Utilizing a mathematical model, the best control schemes are designed and implemented for the closed loop feedback control, and the performances are investigated by compared with the dynamic behaviors of the responses. There are three types of control schemes that are selected, and the controllers are personalized based on the mathematical model of the system. PID controller with a hybrid optimization technique and model predictive control (MPC) is designed based on the model. The three tanks interacting system is a higher-order system. In this paper, the exact transfer function model is going to be obtained by the first principle method; the mass balance equation is employed in the process for each the individual tanks in the system, and the state space and reduced order modes are obtained and the reduced order model is fine tuned; and the integer and non-integer models' first-order reduced models are obtained through model optimization techniques and the standard PID controller with hybrid optimization technique FminSearch-GA (Fmin-GA), Internal Model Controller and Model Predictive Control (MPC) also implemented, and performances are investigated using time domain specification.