Controller Tuning for Disturbance Rejection Associated with Delayed Double Integrating Process, Part III: PI-PD Controller

  IJRES-book-cover  International Journal of Recent Engineering Science (IJRES)  
© 2015 by IJRES Journal
Volume-2 Issue-3
Year of Publication : 2015
Authors : Galal Ali Hassaan
DOI : 10.14445/23497157/IJRES-V2I3P101

How to Cite?

Galal Ali Hassaan, "Controller Tuning for Disturbance Rejection Associated with Delayed Double Integrating Process, Part III: PI-PD Controller," International Journal of Recent Engineering Science, vol. 2, no. 3, pp. 1-5, 2015. Crossref,

The problem of tuning a PI-PD controller for used with an unstable delayed double integrating process for disturbance rejection is studied. The effect of time delay of the process in a range between 0.1 and 2 seconds is considered. The controller is tuned using MATLAB optimization toolbox with five forms of the objective function in terms of the error between the step time response of the closed-loop control system. Using the proposed controller with the delayed double integrating process indicates the effectiveness and robustness of the PI-PD controller in the time delay range used with superior time-based specifications compared with other techniques based on using PIDF, IPD and PD-PI controllers with the same process.

PI-PD controller, Delayed double integrating process, Controller tuning, Control system performance, Controller robustness.

[1] L. Makin and Q. Zhang, Coprime parameterization of 2DOF controllers to obtain sub-ideal disturbance response for processes with dead-time, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, December 2001, 2253-2258.
[2] I. Kaya, A new Smith predictor and controller for control of processes with long dead time, ISA Transactions, 42, 2003, 101-110.
[3] Z. Hanqin, Controller design for periodical disturbance rejection, Master of Engineering Thesis, National University of Singapore, 2003.
[4] M. Majhi and C. Mahanta, Fuzzy proportional integral - proportional derivative (PI-PD) controller, Proceedings of the American Control Conference, Boston, USA, June 30 – July 2, 2004, 5, 4028-4033.
[5] I. Kaya and D. Atherton, Improved cascade control structure for controlling unstable and integrating processes, Proceedings of the 44th IEEE Conference on Decision and Control, December 12-15, 2005, 7133-7138.
[6] J. Wang, Optimal design of PI-PD controller for nonminimum phase system , Transactions of the Institute of Measurement and Control 28(1), 2006, 27-35.
[7] N. Pail and Y. Kuo, Speed control for a two-mass drive system using integrated fuzzy estimator and hybrid fuzzy PD/PI controller, Journal of Physics, Conference Series, 96, 2008.
[8] N. Tan, Computation of stabilizing PI-PD controllers, International Journal of Control and Systems, 7(2), 2009, 175-184.
[9] R. Matusu and R. Prokop, Control of periodically timevarying systems with delays: an algebraic approach vs. modified Smith predictors, WSEAS Transactions on Systems, 9(6), 2010, 689-702.
[10] J. Pedro and O. Dahunsi, Neural network based feedback linearization control of a servo-hydraulic vehicle suspension system, International Journal of Applied Mathematical Computer Science, 21(1), 2011, 137-147.
[11] T. Liu and F. Gao, Industrial process identification and control design, (Springer-Verlag, 2012).
[12] R. Sundaram and P. Padhy, GA-based PI-PD controller for TCP routers, International Journal of Machine Learning and Computing, 3(4), 2013, 361-364.
[13] G. A. Hassaan, Tuning of a PI-PD controller used with a highly oscillating second-order process, International Journal of Research and Innovative Technology, 1(3), August 2014, 42-45.
[14] H. Ali, Robust PI-PD controller design for magnetic levitation system, Engineering and Technology Journal, 32(4), 2014, 667-680.
[15] R. Saranya and V. Vijayan, Design of PI controllers for unstable MIMO system using firefly algorithms, International Journal of Science and Research, 4(5), 2015, 294-299.
[16] I. Kaya, P. Derek and P. Atherton, Simple analytical rules for PI-PD controllers to tune integrating and unstable processes, International Control Conference, Glasgow, Scotland, 2006.
[17] J. Rodriguez and A. Coelho, IMC tuning of a PI-PD controller for FOPDT, SOPDT and IFOPDT plants, Second Mercosur Congress on Chemical Engineering, 2005.
[18] P. Venkataraman, Applied optimization with MATLAM programming, (J. Wiley, 2009).
[19] F. Martins, "Tuning PID controllers using the ITAE criterion", International Journal of the Engineering Education, vol.21, issue 5, pp.867-873, 2005.
[20] C. Calistru and P. Georgescu, "Tuning of PID robust controllers based on ISE criterion minimization", 7 th International Conference on Electro-mechanical and Power Systems, Iasi, Romania, October 8-9, 2009, pp.I-30 to I-35.
[21] S. Cheng and C. Hwang, "Designing PID controllers with a minimum IAE criterion by a differential evolution algorithm", Chemical Engineering Communications, vol.170, issue 1, pp.83-115, 1998.
[22] A. Marzoughi, H. Salamat, M. Rahmat and H. AbdulRahim, "Optimized PID controller for the exhaust temperature control of a gas turbine system using particle swarm optimization", International Journal of the Physical Sciences, vol.7, issue 5, , pp.720-729, 2012.
[23] C. Houpis and S. Sheldon, Linear control system analysis and design with MATLAB, (CRC Press, 2013).
[24] G. A. Hassaan, Controller tuning for disturbance rejection associated with a delayed double integrator process, Part I: PD-PI controller, International Journal of Computer Techniques, 2(3), 2015, 110-115.
[25] C. Anil and R. Sree, Tuning of PID controllers for integrating systems using direct synthesis method, ISA Transactions, March 2015, 1-9.
[26] G. A. Hassaan, Controller tuning for disturbance rejection associated with a delayed double integrator process, Part II: I-PD controller, International Journal of Science and Engineering, 2015, under publication.