LINEARITY AND TRANSFER FUNCTION OF THE PROCESS

INSTITUTO TECNOLÓGICO Y DE ESTUDIOS SUPERIORES DE MONTERREY

CAMPUS QUERÉTARO

[pic 1]AUTOMATIC CONTROL LABORATORY

PRACTICE 2: LINEARITY AND TRANSFER FUNCTION OF THE PROCESS

HÉCTOR JAVIER HERNÁNDEZ JACOBO – A01204869

ANDRÉS MALDONADO MARTÍNEZ – A01127791

PRISCILA ANDREA GARIBAY GUZMÁN – A01204194

PROFESSOR: ULISES MORENO YÉPEZ

Santiago de Querétaro, Qro. September 14 2016.

RESUME. Tello

The main objective of this document is to show

1. INTRODUCTION. Andrés

1. THEORETICAL FRAMEWORK.

2.1 Linearity of a system.

Se deben responder las siguientes preguntas: Hector

What is the principle of addition for LTI?

What is the principle of Homogeneity for LTI?

What is the basic procedure to verify the linearity of a System using Homogeneity principle?

Explicar en qué consiste la linealidad de un Sistema.

2.2 First order systems.

Se debe responder la siguiente pregunta. Tello

What is the procedure to obtain a 1st order TF by using the graphical method?

Tello, esta información debe de estar bien complete del metodo grafica. Esta madre siempre la hemos puesto en los reportes de CONTROL 1 y CONTROL 2. Checa allí. 

1. DEVELOPMENT.

3.1 Linearity of the process.

As we know the linearity is the difference in the accuracy values through the expected operating range of the equipment, this can be determined by selecting parts throughout the entire operating range of the instrument, the linearity is represented by the slope of a “best fit” line though the points.

For the linearity of our process,  in the first part  it was introduced different voltage, in scale of .2 until we reach the maximum voltage (5V),  all the data was recollected in one excel table with the input voltage  (U(V)) and the output voltage (Y(V)), for this to happen the filter was needed.

The Arduino was use for this second part, based on a program specially made for this, the voltage introduced was on a scale of 1V and similar to the first part it needed to reach the maximum voltage.

 As shown on the figure X.X, the system at the beginning doesn’t behaves as linear, this is due to the mechanical construction of the motors and the inertial that must be broken, but in the other points it behaves as linear so it’s assumed like linear.

The responses obtained with the Arduino, and the voltage source were very similar between 0V and 3V. But when they reached voltages between 3 V and 5 V the behavior of the Arduino was more accurate, and we can see how the Y(V) was almost the same as the U(V), and for the voltage source its best performance is also between this voltages but not as accurate as the Arduino.

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