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Modeling of the relative humidity via functional networks and control of the temperature via classic controls for a bird incubator

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Abstract

The control of the relative humidity and the temperature is important for the birds to be born. It is not easy to control the relative humidity, but it is possible to obtain the measure of the relative humidity as a consequence of the control of the temperature in a bird incubator. In this article, (1) the mathematical model for the control of temperature in the bird incubator is presented, (2) a functional network to approximate the relative humidity behavior in the bird incubator is proposed, (3) a control for the temperature in the bird incubator is proposed, the error of the proportional control applied to the mathematical model of the temperature of the bird incubator is assured to be uniformly stable, (4) the comparison results of four classic control laws for the control of the temperature considering the proposed mathematical model of the temperature and the functional network to approximate the relative humidity behavior in the bird incubator are presented.

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Abbreviations

h i :

Coefficient of convection in the surface [Wm−2 °C−1]

T i :

Inside temperature of the incubator [°C]

T pi :

Temperature in the wall inside of the incubator [°C]

h e :

Coefficient of convection in the exterior [Wm−2 °C−1]

T ext :

Outside temperature of the incubator [°C]

T pe :

Temperature in the wall outside of the incubator [°C]

T o :

Initial temperature [°C]

\(\Uplambda\) :

Thermic conductivity [Wm−2 °C−1]

e :

Width of the cover [m]

A :

Area of the surface [m2]

\(\Upsigma\) :

Constant of Stefan Boltzman [Wm−2 °C−1]

T foco :

Temperature of the radiation body (light bulb) [°C]

h r :

Coefficient of the radiant hot [Wm−2 °C−1]

\(\varepsilon\) :

Emission of the object [−]

k v :

Hot capacity of the air [Wm−2 °C−1]

\(\Upphi_{\hbox {vent}}\) :

Air flow [m/s]

a 1, a 2, a 3, a 4 :

Constants [−]

U ws, U ls :

Degree of temperature [%]

W :

Speed of the air [ms−1]

A 1 :

Area of opening [%]

C cap :

Thermic capacity of the air [Wm−2 °C−1]

Q cal :

Energy of the heating system [Wm−2]

Q vent :

Lost energy for ventilation [Wm−2]

Q rad :

Energy of radiation [Wm−2]

I :

Intensity of the luminous body [Candela]

r :

Distance from the luminous body to the objective [m]

e ss :

Error in the stable state

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Acknowledgments

The authors are grateful to the editors and the reviewers for their valuable comments and insightful suggestions, which helped to improve this research significantly. The authors thank the Secretaría de Investigación y Posgrado, the Comisión de Operacion y Fomento de Actividades Academicas del IPN and the Consejo Nacional de Ciencia y Tecnología for their help in this research.

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Authors and Affiliations

  1. Seccion de Estudios de Posgrado e Investigacion, ESIME Azcapotzalco, Instituto Politecnico Nacional, Av. de las Granjas no. 682, 02250, Col. Santa Catarina, Mexico D.F., Mexico

    Jose de Jesus Rubio

  2. Division de Ingenieria Mecatronica Industrial, Tecnologico de Estudios Superiores de Ecatepec, Av. Tecnologico, Col. Valle Anahuac, Ecatepec, Edo. de Mex, Mexico

    Martin Salazar & Angel D. Gomez

  3. Departamento de Ingenieria de Procesos e Hidraulica, Universidad Autonoma Metropolitana, Iztapalapa, Av. Sn. Rafael Atlixco 186, Col. Vicentina Iztapalapa, Mexico D.F., Mexico

    Raul Lugo

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  1. Jose de Jesus Rubio
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Correspondence to Jose de Jesus Rubio.

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de Jesus Rubio, J., Salazar, M., Gomez, A.D. et al. Modeling of the relative humidity via functional networks and control of the temperature via classic controls for a bird incubator. Neural Comput & Applic 21, 1491–1500 (2012). https://doi.org/10.1007/s00521-011-0784-2

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