Title: A comparative simulation and experimental study for control of a ball and plate system using model-based controllers

Authors: Firas Haddad; Jasem Tamimi

Addresses: Department of Mechanical Engineering, Palestine Polytechnic University, P.O. Box 198, Hebron, Palestine ' Department of Mechanical Engineering, Palestine Polytechnic University, P.O. Box 198, Hebron, Palestine

Abstract: A ball and plate system (BPS) is a standard system case study in the control engineering which is known as a nonlinear, a multivariable and an unstable system, has been widely used to investigate and demonstrate new control strategies that can deal with nonlinearities. In this paper, five control strategies are applied to control and stabilise a lab-made BPS prototype, particularly, linear model predictive control (LMPC), proportional-integral-derivative (PID), state feedback using pole placement, linear quadratic regulator (LQR) and linear quadratic tracker (LQT) controllers. These controllers have been simulated using MATLAB environment and then implemented using the Arduino Uno ATmega328P microcontroller. Therefore, MATLAB program is also used to evaluate the closed loop system responses and to determine the parameters and the gains for different controllers in a real-time fashion. Finally, a comparison as well as a superiority conclusions are presented for the used controllers for this BPS.

Keywords: ball and plate; linear quadratic tracker; model predictive control.

DOI: 10.1504/IJDSDE.2023.130349

International Journal of Dynamical Systems and Differential Equations, 2023 Vol.13 No.2, pp.91 - 107

Received: 23 Jul 2021
Accepted: 03 Sep 2021
Published online: 17 Apr 2023 *

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