Comparison of Conventional Control and Robust Control on Double-Pipe Heat Exchanger
Heat exchanger is a device used to mix liquids having different temperatures. In this case, the temperature control becomes a critical objective. This research work presents the temperature control of the double-pipe heat exchanger (multi-input multi-output (MIMO) system), which is modeled as first-order coupled hyperbolic partial differential equations (PDEs), using conventional and advanced control techniques, and develops appropriate robust control strategy to meet stability requirements and performance objectives. We designed the proportional–integral–derivative (PID) controller and H-infinity controller for a heat exchanger (HE) system. Frequency characteristics of sensitivity functions and open-loop and closed-loop time responses are simulated using MATLAB software and the stability of the system is analyzed using Kalman's test. The simulation results have demonstrated that the H-infinity controller is more efficient than PID in terms of robustness and performance.
[1] Mazumder, Agniprobho, and Bijan Kumar Mandal. "Numerical Modeling and Simulation of a Double Tube Heat Exchanger Adopting a Black Box Approach." Indian Institute of Engineering Science and Technology: Department of Mechanical Engineering. Shibpur (2016).
[2] Venkanna, Vuppala John, and Ginuga Prabhaker Reddy. "Comparative Analysis of PID and NARMA L2 Controllers for Shell and Tube Heat Exchanger." International Journal of Advanced Engineering, Management and Science 2, no. 8: 239583.
[3] Franklin, Gene F., J. David Powell, Abbas Emami-Naeini, and J. David Powell. Feedback control of dynamic systems. Vol. 4. Upper Saddle River, NJ: Prentice Hall, 2002.
[4] Shah RK, et al. Heat exchangers. Ch.17. University of Kentucky; 1996.
[5] Tertisco, M., D. Popescu, B. Jora, and I. Russ. "Automatizari industriale continue." Bucharest: Didactica Si Pedagogica (1991): 321-324.
[6] Vinatoru M. Control of Industrial Processes (Controlul proceselor industriale). Universitaria Publishing House. Craiova; 2001.
[7] Bobál, Vladimír, Marek Kubalčík, and Petr Dostál. "Identification and self-tuning predictive control of heat exchanger." In 2013 International Conference on Process Control (PC), pp. 219-224. IEEE, 2013.
[8] Kang, Yu, Yi Liu, Ping Zhao, and Dihua Zhai. "H∞ control for heat exchanger systems modeled by Markovian jump bilinear systems with saturating actuator and time delays." In Proceedings of the 30th Chinese Control Conference, pp. 1826-1831. IEEE, 2011.
[9] Lotfi, Babak, and Qiuwang Wang. "Robust multi-objective optimization of state feedback controllers for heat exchanger system with probabilistic uncertainty." In AIP Conference Proceedings, vol. 1547, no. 1, pp. 796-809. American Institute of Physics, 2013.
[10] Rajalakshmi, K., and V. Mangaiyarkarasi. "Design of internal model controller for a heat exchanger system." In 2013 International Conference on Information Communication and Embedded Systems (ICICES), pp. 899-903. IEEE, 2013.
[11] Vasickaninová, A., and Monika Bakošová. "Robust control of heat exchangers." Chemical Engineering Transactions 29 (2012): 1363-1368.
[12] Yang, Xing Hua, Ting Rui Liu, and Jing Sun. "Optimal PID control of heat exchanger temperature." In Advanced Materials Research, vol. 204, pp. 21-24. Trans Tech Publications Ltd, 2011.
[13] Balas, Gary, Richard Chiang, Andy Packard, and Michael Safonov. "Robust Control Toolbox™ Getting Started Guide." The MathWorks, Incorporations. 3 Apple Hill Drive, Natick, MA 01760 2098 (2011).
[14] Doyle, John C., Bruce A. Francis, and Allen R. Tannenbaum. Feedback control theory. Courier Corporation, 2013.
[15] Gu, Da-Wei, Petko Petkov, and Mihail M. Konstantinov. Robust control design with MATLAB®. Springer Science & Business Media, 2005.
[16] Ionescu V, et al. Systems theory. Robust synthesis (Teoria sistemelor. Sinteza robusta). ALL Publishing House. Bucharest; 1994.
[17] Kemin, Zhou, and John C. Doyle. "Essentials of robust control." New Jersey: Prentice Hail Upper Saddle River (1998): 269-300.
[18] Popescu, D. "Analysis and synthesis of robust systems (Analiza si sinteza sistemelor robuste)." (2010).
[19] Sename, Olivier. "Robust control of MIMO systems." GIPSA-Lab (2013).
[20] Dulău, Mircea, Stelian Oltean, and Adrian Gligor. "Conventional control vs. robust control on heat-exchangers." Procedia Technology 19 (2015): 534-540.
[21] Zobiri, Fairouz, Emmanuel Witrant, and François Bonne. "PDE observer design for counter-current heat flows in a heat-exchanger." IFAC-PapersOnLine 50, no. 1 (2017): 7127-7132.
[22] Asoka R.G, Aishwarya N, Rajasekar S and Meyyappan N."Dynamic Simulation of Double Pipe Heat Exchanger using MATLAB Simulink" Sri Venkateswara College of Engineering: Department of Chemical Engineering. India (2018).
[1] Mazumder, Agniprobho, and Bijan Kumar Mandal. "Numerical Modeling and Simulation of a Double Tube Heat Exchanger Adopting a Black Box Approach." Indian Institute of Engineering Science and Technology: Department of Mechanical Engineering. Shibpur (2016).
[2] Venkanna, Vuppala John, and Ginuga Prabhaker Reddy. "Comparative Analysis of PID and NARMA L2 Controllers for Shell and Tube Heat Exchanger." International Journal of Advanced Engineering, Management and Science 2, no. 8: 239583.
[3] Franklin, Gene F., J. David Powell, Abbas Emami-Naeini, and J. David Powell. Feedback control of dynamic systems. Vol. 4. Upper Saddle River, NJ: Prentice Hall, 2002.
[4] Shah RK, et al. Heat exchangers. Ch.17. University of Kentucky; 1996.
[5] Tertisco, M., D. Popescu, B. Jora, and I. Russ. "Automatizari industriale continue." Bucharest: Didactica Si Pedagogica (1991): 321-324.
[6] Vinatoru M. Control of Industrial Processes (Controlul proceselor industriale). Universitaria Publishing House. Craiova; 2001.
[7] Bobál, Vladimír, Marek Kubalčík, and Petr Dostál. "Identification and self-tuning predictive control of heat exchanger." In 2013 International Conference on Process Control (PC), pp. 219-224. IEEE, 2013.
[8] Kang, Yu, Yi Liu, Ping Zhao, and Dihua Zhai. "H∞ control for heat exchanger systems modeled by Markovian jump bilinear systems with saturating actuator and time delays." In Proceedings of the 30th Chinese Control Conference, pp. 1826-1831. IEEE, 2011.
[9] Lotfi, Babak, and Qiuwang Wang. "Robust multi-objective optimization of state feedback controllers for heat exchanger system with probabilistic uncertainty." In AIP Conference Proceedings, vol. 1547, no. 1, pp. 796-809. American Institute of Physics, 2013.
[10] Rajalakshmi, K., and V. Mangaiyarkarasi. "Design of internal model controller for a heat exchanger system." In 2013 International Conference on Information Communication and Embedded Systems (ICICES), pp. 899-903. IEEE, 2013.
[11] Vasickaninová, A., and Monika Bakošová. "Robust control of heat exchangers." Chemical Engineering Transactions 29 (2012): 1363-1368.
[12] Yang, Xing Hua, Ting Rui Liu, and Jing Sun. "Optimal PID control of heat exchanger temperature." In Advanced Materials Research, vol. 204, pp. 21-24. Trans Tech Publications Ltd, 2011.
[13] Balas, Gary, Richard Chiang, Andy Packard, and Michael Safonov. "Robust Control Toolbox™ Getting Started Guide." The MathWorks, Incorporations. 3 Apple Hill Drive, Natick, MA 01760 2098 (2011).
[14] Doyle, John C., Bruce A. Francis, and Allen R. Tannenbaum. Feedback control theory. Courier Corporation, 2013.
[15] Gu, Da-Wei, Petko Petkov, and Mihail M. Konstantinov. Robust control design with MATLAB®. Springer Science & Business Media, 2005.
[16] Ionescu V, et al. Systems theory. Robust synthesis (Teoria sistemelor. Sinteza robusta). ALL Publishing House. Bucharest; 1994.
[17] Kemin, Zhou, and John C. Doyle. "Essentials of robust control." New Jersey: Prentice Hail Upper Saddle River (1998): 269-300.
[18] Popescu, D. "Analysis and synthesis of robust systems (Analiza si sinteza sistemelor robuste)." (2010).
[19] Sename, Olivier. "Robust control of MIMO systems." GIPSA-Lab (2013).
[20] Dulău, Mircea, Stelian Oltean, and Adrian Gligor. "Conventional control vs. robust control on heat-exchangers." Procedia Technology 19 (2015): 534-540.
[21] Zobiri, Fairouz, Emmanuel Witrant, and François Bonne. "PDE observer design for counter-current heat flows in a heat-exchanger." IFAC-PapersOnLine 50, no. 1 (2017): 7127-7132.
[22] Asoka R.G, Aishwarya N, Rajasekar S and Meyyappan N."Dynamic Simulation of Double Pipe Heat Exchanger using MATLAB Simulink" Sri Venkateswara College of Engineering: Department of Chemical Engineering. India (2018).
@article{"International Journal of Information, Control and Computer Sciences:80504", author = "Hanan Rizk", title = "Comparison of Conventional Control and Robust Control on Double-Pipe Heat Exchanger", abstract = "Heat exchanger is a device used to mix liquids having different temperatures. In this case, the temperature control becomes a critical objective. This research work presents the temperature control of the double-pipe heat exchanger (multi-input multi-output (MIMO) system), which is modeled as first-order coupled hyperbolic partial differential equations (PDEs), using conventional and advanced control techniques, and develops appropriate robust control strategy to meet stability requirements and performance objectives. We designed the proportional–integral–derivative (PID) controller and H-infinity controller for a heat exchanger (HE) system. Frequency characteristics of sensitivity functions and open-loop and closed-loop time responses are simulated using MATLAB software and the stability of the system is analyzed using Kalman's test. The simulation results have demonstrated that the H-infinity controller is more efficient than PID in terms of robustness and performance.", keywords = "heat exchanger, multi-input multi-output system, MATLAB simulation, partial differential equations, PID controller, robust control", volume = "15", number = "9", pages = "396-7", }
