Designing a PID Controller to Regulate Liquid Level in a Tank System

This project focuses on the design and implementation of a Proportional-Integral-Derivative (PID) controller to regulate the liquid level within a single water tank system. The assignment begins with an introduction to PID controllers, emphasizing their widespread use in industrial applications and the challenges associated with tuning their parameters. It then details the dynamic modeling of the single water tank system, including the relevant equations for inflow, outflow, and the rate of change of liquid height. The Ziegler-Nichols method, a well-known tuning approach, is employed to determine the PID controller parameters. The project includes MATLAB simulations to validate the controller's performance. The simulation results, including step response plots and the determination of critical gain, are analyzed to assess the effectiveness of different controller configurations (P, PI, and PID). The document concludes with a discussion of the findings and the significance of PID controllers in various control systems, supported by references to relevant literature.