Submit your paper : editorIJETjournal@gmail.com Paper Title : Robustness of PI-PD Controller Used With Third Order Processes ISSN : 2395-1303 Year of Publication : 2020 10.29126/23951303/IJET-V6I4P9 MLA Style: -Akram F. Singer, Galal A. Hassaan,Mohamed A. Elgamil " Robustness of PI-PD Controller Used With Third Order Processes " Volume 6 - Issue 4(41-56) July - August,2020 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org APA Style: -Akram F. Singer, Galal A. Hassaan,Mohamed A. Elgamil " Robustness of PI-PD Controller Used With Third Order Processes " Volume 6 - Issue 4(41-56) July - August,2020 International Journal of Engineering and Techniques (IJET) ,ISSN:2395-1303 , www.ijetjournal.org Abstract - Robustness is one of the requisites used in controllers design. The objective of this research is to investigate the robustness of a PI-PD controller used to control a third-order process against uncertainty in the process parameters. A variation of ± 20 % in process parameters is considered through simulation to study its effect on the system performance parameters using the tuned controller. The variation of the process integral gain has small effect on the settling time, maximum percentage overshoot of the control system. The variation in process time constant T1 resulted in a decrease of 12 % in the maximum percentage undershoot, an increase of 34.2% in the maximum percentage overshoot and an increase of 34.2% in the settling time of the closed-loop control system. The variation in process time constant T2 resulted in a decrease of 15.2 % in the maximum percentage overshoot, a decrease of 6% in the maximum percentage undershoot and an increase of 5.9% in the settling time of the closed-loop control system .For all the changes in the process parameters the phase margin is from 64.4 to 66.2 (deg), and the gain margin is from 15 to 18.5 (dB). Reference 1. S. Hu, B. Chang, H. Yeh and H. Kwatny, ―Robust nonlinear controller design for a longitudinal flight control problem‖, Asian J. of Control, Vol.2, No.2, pp.111-121, , June 2000. 2. J. Gong and B. Yao, ―Neural network adaptive robust control of nonlinear systems in semi-strict feedback form, Automatica, Vol.37, pp.1149-1160, 200. 3. Y. Lee and M. Na, ―Robust controller design of nuclear power reactor by parametric method‖, J. of the Korean Nuclear Society, Vol.34, No.5, pp.436-444, October 2002. 4. K. Arvanitis, G. Dyrkos, I. Stellas and N. Sigrimis, ―Controller tuning for integrating processes with time delay – Part II: Robustness analysis under structured parametric uncertainty‖, 11th IEEE Mediterranean Conference on Control and Automation, Rodos, Greece, June 28-30, Paper T07-41, 2003. 5. M. Lhommeau, L. Hardouin, B. Cottenceau and L. Laulin, ―Interval analysis and dioid: application to robust controller design for timed event graphs‖, Automatica, Vol.40, pp.1923-1930, 2004. 6. S. Dechanupaprittha, K. Hongesombut, M. Watanabe, Y. Mitani and I. Ngamroo, ―Design of robust SMES controller in a multimachine power system by using hybrid TS/EP‖, 15th PSCC, Liege, 22-26, Session 28, Paper 3, August 2005. 7. C. Chin, M. Lau, E. Low and G. Seet, ―A robust controller design method and stability analysis of an underactuated underwater vehicle‖, Int. J. of Applied Mathematics and Computer Science, Vol.16, No.3, pp.345-356, 2006 8. M. Vagja and A. Tzes, ―Robust PID control design for an electrostatic micromechanical actuator with structured uncertainty‖, Proceedings of the 15th Mediterranean Conference on Control and Automation, Athens, Greece, July 27-29, 2007. 9. L. Fiorentini and M. Bolender, ―Robust nonlinear sequential loop closure control design for an air-breathing hypersonic vehicle model‖, American Control Conference, Western Seattle Hotel, Seattle, Washington, USA, pp.3458-3463 June 11-13, 2008. 10. B. Labibi, H. Marquez and T. Chen, ―Decentralized robust PI controller design for an industrial boiler‖, J. of Process Control, Vol.19, pp.216-230, 2009. 11. R. Matusu, K. Vanekova, R. Prolop and M. Bakosova, ―Design of robust PI controllers and thei application to nonlinear electronic systems‖, J. of Electrical Engineering, Vol.61, No.1, pp.44-51, 2010. 12. B. Kada and Y. Ghazzawi, ―Robust PID controller design for an UAV flight control system‖, Proceedings of the World Congress on Engineering and Computer Science, San Francisco, USA, , Vol.II, October 19-21, 2011. 13. R. Surjan, ―Design of fixed structure optimal robust controller using genetic algorithm and particle swarm optimization‖, Int. J. Engineering and Advanced Technology, Vol.2, No.1, pp.187-190, October 2012. 14. G. Jiao, Y. Jin and S. Wang, ―Research on the robustness of an adaptive PID control of a kind of supersonic missile‖, J. of Applied Sciences, Engineering and Technology, Vol.5, No.1, pp.37-41, 2013. 15. P. Pradhan, P. Ray, R. Sahu and J. Moharana, "Performance of FACTS controller for power quality improvement in distribution supply system", International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, Vol.3, No.6, pp.10019-10029, 2014. 16. G. A. Hassaan, "Robustness of the feedback PD compensator used with second-order and third-order processes", International Journal of Advanced Research in Computer Science and Technology,Vol. 2, Issue 4,pp.10-14, October - December 2014. 17. Emma D. Welson, Quentin Clairon, Robin Hiderson and C. James Taylor, "Robustness evaluation and robust design for proportional-integral-plus control", International journal of Control, Vol.92, Issue 12,pp. 2939-2951, 2019. 18. Bharat Verma and Prabin Kumar Padhy, " Robust Fine Tuning of Optimal PID Controller With Guaranteed Robustness", IEEE Transactions on Industrial Electronics, Vol.67, Issue 6, pp 4911-4920, july 2019. 19. Min Zheng, Tao Huang and Guangfeng Zhang, "A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay", Complexity, Vol. 2019, pp.1-12, October 2019. 20. Clara M. Ionesco, Eva H. Dulf, Maria Ghita and Cristina I. Muresan, "Robust controller design: Recent emerging concepts for control of mechatronic systems', ScienceDirect, Volume 357, Issue 12, pp. 7818-7844, August 2020. 21. R. Toscano, “A simple robust PI/PID controller design via numerical optimization approach”, J. of Process Control, Vol.15,Issue 1, pp.21-88,2005. 22. G. A. Hassaan, "Robustness of PDF, PDFF, PIDF and PID + First order Controllers used with Second-Order Processes", International Journal of Research and Innovative Technology, Vol.1,Issue 4, pp. 56-61,October 2014. 23. I. Kaya, P. Derek and P. Atherton, “Simple analytical rules for PI-PD controllers to tune integrating and unstable processes”, Conference: International control conference, Scotland, United Kingdom, August 2006. 24. G.A. Hassaan, " Tuning Of A PD-PI Controller Used With A Highly Oscillating Second – Order Process", Internationl Journal Of cientific & Technology Research, Vol.3, Issue 7, pp. 145-147, July 2014. 25. Akram F. Singer, G.A. Hassaan and Mohamed A. Elgamil, "Tuning of a PI-PD controller used with a Third Ordr Process", World Journal of Engineering Research and Technology WJERT, Vol 6, Issue 4, pp. 367-375, August 2020. 26. Martins, F.,"Tuning PID controllers using ITAE criterion." International Journal of Engineering Education, vol. 21, pp. 867-873, 2005. 27. Xue, D., Chen, Y., and Atherton D.,"Linear feedback control: Analysis and design with MATLAB, Society for Industrial and Applied Mathematics, 2007. 28. R. Dorf and R. Bishop, “Modern control systems”, Pearson Education Int., 2008. 29. K. Ogata, "Modern Control Engineering", Prentice Hall, 1970. 30. W. Lei and T. Man, “Advanced approach for optimizing dynamic response for buck converter”, Semiconductor Components Industries, January 2011. Keywords Third order process; PI-PD controller; uncertainty in process parameters; controller robustness; control |