# Closed - Loop Control of Plate Temperature using Inverse Problem

### Dan Necsulescu, Bilal Jarrah, Jurek Sasiadek

#### Abstract

In this paper the temperature at one side of a plate is used to control in closed loop the temperature on the opposite side of the plate. To solve this problem, Laplace transform is used to obtain the quadrupole model of the direct heat equation and the analytical solution for the transfer function for the inverse problem. The resulting hyperbolic functions are approximated by Taylor expansions to facilitate the real-time closed loop temperature control formulation. Simulation results illustrate the advantages and permit to identify the limitations of using inverse problem to closed loop control temperature of a plate.

#### References

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#### Paper Citation

#### in Harvard Style

Necsulescu D., Jarrah B. and Sasiadek J. (2016). **Closed - Loop Control of Plate Temperature using Inverse Problem** . In *Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-198-4, pages 421-425. DOI: 10.5220/0005959204210425

#### in Bibtex Style

@conference{icinco16,

author={Dan Necsulescu and Bilal Jarrah and Jurek Sasiadek},

title={Closed - Loop Control of Plate Temperature using Inverse Problem},

booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2016},

pages={421-425},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005959204210425},

isbn={978-989-758-198-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Closed - Loop Control of Plate Temperature using Inverse Problem

SN - 978-989-758-198-4

AU - Necsulescu D.

AU - Jarrah B.

AU - Sasiadek J.

PY - 2016

SP - 421

EP - 425

DO - 10.5220/0005959204210425