Tuning Of A PD-PI Controller Used With A Highly Oscillating Second –Order Process
Galal A. Hassaan
Index Terms: Controller tuning ; highly oscillating second-order process ; improving control system performance ; PD-PI controller.
Abstract: High oscillation in industrial processes is something undesired and controller tuning has to solve this problems. PD-PI is a controller type of the PID-family which is suggested to overcome this problem with improved performance regarding the spike characteristics associated with certain types of controllers. This research work has proven that using the PD-PI is capable of solving the dynamic problems of highly oscillating processes. A second order process of 85.45 % maximum overshoot and 8 seconds settling time is controlled using an PD-PI controller (through simulation). The controller is tuned by minimizing the sum of square of error (ISE) of the control system using MATLAB. The MATLAB optimization toolbox is used assuming that the tuning problem is an unconstrained one. The result was cancelling completely the 85.45 % overshoot and producing a step-wise time response without any undershoot. The performance of the control system using an PD-PI controller using the present tuning technique is compared with that using the ITAE standard forms tuning technique.
. Siemens, "Universal PD-PI controller type RKN88T", Siemens Building Technologies, CA2N3394E/03, 1999.
. I. Kaya, "Autotuning of a new PI-PD Smith pridictor based on time domain specifications", ISA Transactions, Vol.42, 2003, pp.559-575.
. M. Veerajah, S. Majhi and C. Mahanta, "Fuzzy proportional integral – proportional derivative (PI-PD) controller", Proceedings of the American Control Conference, Boston, Massachusetts, June 30-July 2, 2004.
. J. Rodriguez and A. Coelho, "IMC tuning of PI-Pd controller for FOPDT, SOPDT and IFOPDT plants", 2nd Mercosur Congress on Chemical Engineering, 2005.
. M. Siddique and M. Tokhi, "GA-based neural fuzzy control of flexible link manipulators", Engineering Letters, Vol.13, No,2, August 2006.
. T. Jain and M. Nigram, "Optimization of PD-PI controller using swarm intelligence", J. of Theoretical and Applied Information Technology, Vol4, No.11, 2008, pp.1013-1018.
. N. Tan, "Computation of stabilizing PI-PD controller", Int. J. Automation and Systems, Vol.7, No.2, 2009, pp.175-184.
. B. Mohan, "Discussion on mathematical modeling of fuzzy two-term PI/PD controllers", International Journal of Computational Cognition, Vol.8, No.3, September 2010, pp.42-44.
. N. Magaji, M. Mustafa and Z. Muda, "Power system damping using GA based fuzzy controlled TCSC device", Scientific Research and Essays, Vol.6, No.27, November 2011, pp.5671-5684.
. A. Palmereira, R. Magalhaes, C. Contente and A. Ferreira, "Comparison between classical PID and fuzzy PI + PD controller applied to a mobile robot", 15th Latinamerican Control Conference, Lima, Peru, 23-26 October 2012.
. G.A. Hassaan, “Tuning of a PD-PI controller used with first-order-delayed processes”, International Journal of Engineering Research and Technology, Vol.3, No.4, April, 2014, pp.2751-2755.
. "Control system toolbox", MathWorks, September 2012.
. Rao, S. (2009). Engineering optimization, J. Wiley & Sons.
. D. Graham and R. Lathrop, “The synthesis of optimal response: criteria and standard forms”, Transactions of AIEE, Vol.72, Nov.1953.