Closed - Loop Control of Plate Temperature using Inverse Problem

Dan Necsulescu, Bilal Jarrah, Jurek Sasiadek

2016

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

  1. Beck J. et al., 1985, Inverse Heat Conduction, John Wiley& Sons.
  2. Fan C. et al., 2009, “A simple method for inverse estimation of surface temperature distribution on a flat plate,” Inverse Problems in Science and Engineering, Vol. 17, No. 7, pp. 885-899.
  3. Feng Z. et al., 2010, “Real-time solution of heat conduction in a finite slab for inverse analysis,” International Journal of Thermal Science, vol. 49, pp. 762-768.
  4. Feng Z. et al., 2010, “Temperature and heat flux estimation from sampled transient sensor measurements,” International Journal of Thermal Sciences, vol. 49, pp. 2385-2390.
  5. Feng Z. et al., 2011, “Estimation of front surface temperature and heat flux of a locally heated plate from distributed sensor data on the back surface,” International Journal of Heat and Mass Transfer, vol. 54, pp. 3431-3439.
  6. Maillet D. et al., 2000, Thermal Quadrupoles: Solving the Heat Equation through Integral Transforms, John Willey & Sons.
  7. Monde M.,2000, “Analytical method in inverse heat transfer problem using Laplace transform technique,” International Journal of Heat and Mass Transfer, vol. 43, pp. 3965-3975.
  8. Necsulescu D., 2009, Advanced Mechatronics: Monitoring and Control of Spatially Distributed Systems, Word Scientific.
  9. Necsulescu D., Jarrah B., 2016, Temperature Control of Thin Plates, CDSR Conf., Ottawa.
  10. Piazzi A., Visioli A., 2001, Robust Set-Point Constrained Regulation via Dynamic Inversion, Int. Journal of Robust and Nonlinear Control, 11, pp. 1-22.
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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