Comparing PI controller Performance for Non Linear Process Model

  ijett-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2013 by IJETT Journal
Volume-4 Issue-3                       
Year of Publication : 2013
Authors :  Abhishek Sharma , Nithya Venkatesan


Abhishek Sharma , Nithya Venkatesan. "Comparing PI controller Performance for Non Linear Process Model". International Journal of Engineering Trends and Technology (IJETT). V4(3):242-245 Mar 2013. ISSN:2231-5381. published by seventh sense research group


This paper demonstrates the efficient method of tuning PI controller parameters by comparing different tuning rules. The method implies an analytical calculation of the controller gain ? ? , Integral time ? ? for a PI controlled system which is modeled to be a First Order Plus Dea d Time (FOPDT) process. A bench mark non linear system, conical tank is considered for study for which the identified transfer function model to be a FOPTD model. A MATLAB program with an objective is written to find out the optimum value for the PI controller parameter which can achieve the system requirements to minimize the overshoot, to maintain a fast system response, removal of dead time and to maintain robustness . The performance of the contr oller for different tuning rules has been investigated in a MATLAB simulation environment. Out of these differe nt controllers tuning methods Suyama, Tsang and Rad outperforms well with no overshoot. For setting time Astrom and Hagglund gives better result. This tuning method gives the better results based on performance indices also


[1] C.A Smith, A.B.Corripio Principles and Practice of Automatic Process Control,Wiley, 1997
[2] T.E Marlin, Process Control McGraw - Hill, 2000.
[3] Nithya Venkatesan, N .Ananatharaman, “ Controller design based on Model Predictive Control for a nonlinear process ”, IEEE Pro c of 8th International symposium on Mechatronics and its Applications’ (ISMA12), Sharjah , UAE, 2012,p 1 – 6.
[4] R. Ciancone, T.Marlin, Tune controllers to meet plant ob jectives,control,1992,p 50 – 57.
[5] P.Cominos and N.Munro, “PID controllers: Recent tuning methods and design to specification, ”IEE Proc. D,Control Theory and Applications, 2002,Vol.149,No. 1,pp.46 - 53.
[6]SHIN SKEY,F.G‘ Process Control Systems - application,Design and Tuning’,M cGraw - Hill Inc. 1988 .
[7] Sundaresan,K.R.;Krishnaswamy,R.R.,Estimation of time delay,Time constant parameters in Time, Frequency and LaplaceDomains, Can.J.Chem.Eng,, 1978, 56,.257.
[8] G.K. McMillan, Tuning and control Loop Performance, instrument Society of America, 2 nd edition , 1990.
[9]. Panagopoulos H., Astrom K.J.,Hagglund T. ,“ Design of PID controllers based on constrained optimization, ”IEEE Proc., Control Theory Appl., 2002 , Vol.149,NO.1 - P.32 - 40 .
[10] B.Kristiansson, B.Lennartsson, Robust and optimal tuning of PI and PID controllers.IEEProceedings - Control Theory and Applications 2002, 149 , (1),pp 17 - 25 .
[11] M. Zhuang, D.Atherton, ‘Tuning PID controllers with integral perf ormance criterion in control’ Heriot - wat t university,Edinburgh,UK,1991.
[12] J G Ziegler and N. B. Nichols, “Optimum Settings for Automatic Controllers”Trans.ASME, 1942,Vol 64 pp.759 - 768.
[13] K.J. Astrom, T. Ha gglund, “Revisiting the Ziegler - Nichols st ep response method for PID control”, Journal of Process Control 2004., 14, pp 635 - 650
[14] SAIN,S.G and OZGEN,C ‘ Identification and Tuning of Process with large dead time ’ , Cont rol and Computers,1992,20(3),pp 73 - 78.
[15] Cohen , G.H., Coon , G.A. Theoretical consideration of retarded control, Trans . ASME ,1953 ,75,pp 827 - 834.
[16] TSANG,K.M. and RAD,A.B ‘A new approach to auto - tuning of PID controllers, International Journal of System Science,1995,26 ,(3) ,pp.639 - 658.
[17]Suyama,K ‘ A simple design method for sampled - data PID control systems with adequate step responses’, Proceedings of the international conference on Industrial Electronics, Control, Instrumentation and automation,1992,pp.1117 - 1122.
[18] FRUEHAUF,P.S.,CHIEN,I. - L and LAURITSEN,M.D .: ‘Simplified IMC - PID tuning rules ’, Proceedings of the ISA 19 93 Advances in Instrumentation and control Conference ,pp.1745 - 1766.

FOPDT Model, PI Controller, Tuning.