### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 26 |

Publication status | Published - Jan 2007 |

### Publication series

Name | Memorandum / Department of Applied Mathematics |
---|---|

Publisher | Department of Applied Mathematics, University of Twente |

No. | 1/1819 |

ISSN (Print) | 1874-4850 |

ISSN (Electronic) | 1874-4850 |

### Keywords

- EWI-8607
- METIS-241967
- IR-66731

### Cite this

*Analytic control law for a food storage room*. (Memorandum / Department of Applied Mathematics; No. 1/1819). Enschede: University of Twente, Department of Applied Mathematics.

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*Analytic control law for a food storage room*. Memorandum / Department of Applied Mathematics, no. 1/1819, University of Twente, Department of Applied Mathematics, Enschede.

**Analytic control law for a food storage room.** / van Mourik, S.; Zwart, Heiko J.; Keesman, K.J.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Analytic control law for a food storage room

AU - van Mourik, S.

AU - Zwart, Heiko J.

AU - Keesman, K.J.

PY - 2007/1

Y1 - 2007/1

N2 - A storage room contains a bulk of potatoes that produce heat due to respiration. A ventilator blows cooled air around to keep the potatoes cool and prevent spoilage. The aim is to design a control law such that the product temperature is kept at a constant, desired level. This physical system is modelled by a set of nonlinear coupled partial differential equations (pde's) with nonlinear input. Due to their complex form, standard control design will not be adequate. A novel modelling procedure is proposed. The input is considered to attain only discrete values. Analysis of the transfer functions of the system in the frequency domain leads to a simplification of the model into a set of static ordinary differential equations ode's). The desired control law is now the optimal time to switch between the discrete input values on an intermediate time interval. The switching time can be written as a symbolic expression of all physical parameters of the system. Finally, a dynamic controller can be designed that regulates the air temperature on a large time interval, by means of adjustment of the switching time.

AB - A storage room contains a bulk of potatoes that produce heat due to respiration. A ventilator blows cooled air around to keep the potatoes cool and prevent spoilage. The aim is to design a control law such that the product temperature is kept at a constant, desired level. This physical system is modelled by a set of nonlinear coupled partial differential equations (pde's) with nonlinear input. Due to their complex form, standard control design will not be adequate. A novel modelling procedure is proposed. The input is considered to attain only discrete values. Analysis of the transfer functions of the system in the frequency domain leads to a simplification of the model into a set of static ordinary differential equations ode's). The desired control law is now the optimal time to switch between the discrete input values on an intermediate time interval. The switching time can be written as a symbolic expression of all physical parameters of the system. Finally, a dynamic controller can be designed that regulates the air temperature on a large time interval, by means of adjustment of the switching time.

KW - EWI-8607

KW - METIS-241967

KW - IR-66731

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - Analytic control law for a food storage room

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -