Desarrollo de un Modelo Matemático no Lineal Aplicando Mínimos Cuadrados en un Sistema de Nivel

Abstract

To perform a system analysis it is necessary to have a mathematical model representing it, which permits simulation of the process dynamics and development of control strategies to be applied in the real system. With this aim, it is important for the model, not being unique, to be a close representation of the process. On this work a non lineal mathematical model is obtained for the level plant at the laboratory of control and measurement of fluidics of the INSTITUTO TECNOLÓGICO METROPOLITANO. Obtaining the model consists of two parts, the first one consists in finding physical equations of the system in terms of some unknown parameters, and the second one consists in finding those parameters using least square method. A validation of the obtained model was made and it was found that the model was reliable. This system identification technique can be applied in other process with known physical equations in terms of unknown parameters.

Keywords

• Identificación de sistemas
• sistema no lineal
• mínimos cuadrados
• modelo matemático
• proceso dinámico.