Modelagem e controle numérico de um sistema mesa e bola

Abstract

With technological advances, the demand for controllable, stable processes that process a desired response quickly and safely has increased. From the simple process of controlling the temperature of a refrigerator to the control of systems applied to space vehicles, automatic control is essential. Within the universe of control engineering, there are many techniques that can be applied, according to the specific need. That said, this work aims to present a modeling and simulation of a ball and plate system. Mathematical modeling is done through the use of the energy balance of the system, allowing a set of differential equations that is linearized and rewritten in state space. Numerical simulations are used to verify the behavior of the system when it is subjected to input signals such as unit impulse, unit step and sinusoid. All numerical simulations were performed using the free software Scilab.