Vol. 21 No. 4 (2018) Cover Image
Vol. 21 No. 4 (2018)

Published: December 31, 2018

Pages: 549-555

Articles

Output Feedback Adaptive Sliding Mode Control Design for a Plate Heat Exchanger

Abstract

The heat exchanger is a device used to transfer heat energy between two fluids, hot and cold. In this work, an output feedback adaptive sliding mode controller is designed to control the temperature of the outlet cold water for plate heat exchanger. The discontinuous gain value of the sliding mode controller is adapted according to a certain adaptation law, where the only information required is the measurement of the outlet cold temperature. A sliding mode differentiator was design to estimate time derivative of outlet hot water temperature. Two constraints which imposed on the volumetric flow rate of the hot water (control input) were considered within the rules of the proposed adaptation law in this work. These are the control input is positive only and has a maximum value. For constructing the sliding variable, the outlet hot water temperature and its time derivative are required. The maximum allowable desired outlet cold water has been estimated as function of heat exchanger parameters and maximum control input. The simulation results demonstrate the performance of the proposed adaptive sliding mode control where the outlet cold water was forced to follow desired temperature equal to . Additionally, the robustness of the proposed controller was tested for the case where the cold inlet temperature is not constant. The results reveal the robustness of the proposed controller.

References

  1. J. Oraveca, M. Bakošová, M. Trafczynskib, A. V. Ckaninov, A. Meszaros, and M. Markowski, “Robust model predictive control and PID control of shell-and-tube heat exchangers” To appear in Energy, Special Issue dedicated to PRES 2017.
  2. Y. Wang, S. You, W. Zheng, H. Zhang, X. Zheng, and Q. Miao, “State space model and robust control of plate heat exchanger for dynamic performance Improvement” To appear in: Applied Thermal Engineering 2017.
  3. M. DulăuP, M. KarolyP, and T. Dulău, “Fluid Temperature Control Using Heat Exchanger” 11th International Conference Interdisciplinarity in Engineering, INTERENG 2017, 5-6 October 2017, Tirgu-Mures, Romania.
  4. V. Bobal, M. Kubalcik, and P. Dosta, “Identification and Self-tuning Predictive Control of Heat Exchanger” 2013 International Conference on Process Control (PC) June 18–21, 2013, Štrbské Pleso, Slovakia.
  5. S. Padhee, Y. B. Khare, and Y. Singh, “Internal Model Based PID Control of Shell and Tube Heat Exchanger System” Proceeding of the 2011 IEEE Students' Technology Symposium 14-16 January, 2011, lIT Kharagpur.
  6. A. Zavala-Rio, C.M. Astorga-Zaragoza, and O. Hernandez-Gonzalez, “Bounded positive control for double-pipe heat exchangers” Control Engineering Practice 17 (2009) 136– 145.
  7. J. Alvarez-Ramirez, I. Cervantes, and R. Femat, “Robust Controllers for a Heat Exchanger” Ind. Eng. Chem. Res. 1997, 36, 382-388.
  8. P. Chalupa, V. Bobál, M. Kubalčík, and J. Novák, “Adaptive Predictive Control of Through-flow Heat Exchanger” 18th Mediterranean Conference on Control & Automation Congress Palace Hotel, Marrakech, Morocco June 23-25, 2010.
  9. E. Lavretsky, and K. A. Wise, Robust And Adaptive Control, Springer Science & Business Media 2013.
  10. F. Plestan, Y. Shtessel, V. Bregeault., and A. Poznyak, “New Methodologies For Adaptive Sliding Mode Control” International Journal of Control, vol. 83no. 9, pp. 1907-1919 , July 2010.
  11. N. B. Almutairi, and M, Zribi, “Control of a Plate Heat Exchanger Using the Terminal Sliding Mode Technique” Industrial & Engineering Chemistry Research, 51, 4610−4623, 2012.
  12. Z. Jian, S. He-xu, and Z. Jiang-tao, “Application of Adaptive Fuzzy Sliding-mode Controller for Heat Exchanger System in District Heating” 2008 International Conference on Intelligent Computation Technology and Automation.
  13. S. Rao, and V. Utkin, “Sliding Mode Control of One-Dimensional Heat Exchange Processes” Proceedings of the 2006 International Workshop on Variable Structure Systems Alghero, Italy, June 5-7, 2006.
  14. V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control In Electro-Mechanical Systems, Taylor & Francis Group, LLC, 2nd edition, 2009.
  15. V. I. Utkin, and A. S. Poznyak, Adaptive Sliding Mode Control, in B. Bandyopadhyay, S. Janardhanan, and S. K. Spurgeon (Eds.), Advances in sliding mode control: concept, theory and implementation, Springer, New York, pp.22-53, 2013.
  16. S. A. Al-Samarraie, and M. M. Salih, “Adaptive Sliding Mode Controller for Servo Actuator System with Friction” Journal of Engineering, Number 1 , Volume 23, January 2017.
  17. S. A. Al-Samarraie, B. F. Midhat and R. A. Bahaa Al-Deen, “ Adaptive Sliding Mode Control for Magnetic levitation system” Al-Nahrain Journal for Engineering Sciences (NJES) Vol.21 No.2, pp.266-274, 2018.
  18. M. H. Mishary, Sliding Mode Observer for States and Perturbation, M.Sc. Thesis Submitted to the Department of Control and Systems Engineering at University of Technology, Oct. 2016.
  19. S. A. Al-Samarraie, “Invariant Sets In Sliding Mode Control Theory with Application to Servo Actuator System with Friction” WSEAS Transection on Systems and Control, Issue 2, Volume 8. April, 2013.