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http://dx.doi.org/10.5370/KIEE.2011.60.9.1741

Performance Improvement for PID Controllers by using Dual-Input Describing Function (DIDF) Method  

Choe, Yeon-Wook (부경대학교 제어계측공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.60, no.9, 2011 , pp. 1741-1747 More about this Journal
Abstract
Though various techniques have been studied as a way of adjusting parameters of PID controllers, no perfect method of determining parameters is available to date. This paper proposes a new method for enhancing performance of PID controllers by using the characteristics of dual-input describing function (DIDF). In other words, if nonlinear elements with two inputs (DIDF) are connected in series to the plant, the critical point (-1+j0) for Nyquist stability theory can be moved to a position arbitrarily selected on the complex plane by determining necessary coefficients of the DIDF appropriately. This makes the application of the existing conventional PID parameter tuning methods a lot easier, and stability and robustness of the system are improved simultaneously due to the DIDF inserted.
Keywords
PID controller tuning; Dual-Input Describing Functions;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 G.J.Silva, A.Datta and S.P.Battacharyya,"New Results on the Synthesis of PID Controllers," IEEE Trans. on Auto. Contr., vol 47, no.2, pp. 241-252 (2002)   DOI   ScienceOn
2 S.Skogestad, "Simple analytic rules for model reduction and PID controller tuning," J. of Process Control, no. 13, pp. 291-209 (2003)
3 K. Astrom and T. Hagglund, " Revisiting the Ziegler-Nichols step response method for PID control," Journal of Process Control, no.14, pp. 635-650 (2004)
4 K.J. Astrom & T. Hagglund, Advanced PID Control, ISA-Instrumentation. Systems, and Automation Society, 2006
5 Antonio Visioli, Practical PID Control, Springer, 2006
6 Antonio Visioli & Qing-Chang Zhong, Control of Integral Processes with Dead Time, Springer, 2011
7 J. E. Gibson, Nonlinear Automatic Control, McGraw ‐Hill Book Co., New York, NY, 1963
8 J. C. West, J. L. Douce, and R. K. Livesley, "The dual‐input describing function and its use in the analysis of nonlinear feedback systems," Proc. IEE vol. 103B, pp.463‐474, 1955
9 Y.W.Choe and H.Y.LEE, 'Periodic Disturbance Cancellation by DIDF Method', ICCA 2009.
10 최 연욱, 이 형기, "DIDF 방법을 이용한 주기성 외란의 제거",대한전기학회 논문지 vol.59, no.1, pp.168-175 (2010)
11 A. Gelb and W.E. Vander Velde, "Multiple‐Input Describing Functions and Nonlinear System Design," McGraw‐Hill, 1965
12 E. C. Servetas, "A Non‐Linear Electronic Compensator for Automatic Control Systems," IEEE Trans. on Industrial, Electronics and Control Instrumentation, vol. IECI‐22, no.2, pp.201‐208 (1975)
13 G. M. Malwatkar, P. T. Bhosale, and S. D. Nikam,"PID Controllers Tuning for Improved Performance of Unstable Processes," 2009 Int'l Conf. on Advances in Computing, Control, and Telecommunication Technologies, pp. 624-628 (2009)
14 K. Shimiz, etc,"PID Controllers Adjustment via Quasi Pole Placement Method," SICE vol.38,no.8, pp. 686-693 (2002)   DOI
15 H. Panagopoulos, K. Astrom and T. Hagglund, "Design of PID controllers based on constrained optimization," IEE Porceedings of Control Theory Application, vol. 149, no. 1, pp. 32-40 (2002)   DOI   ScienceOn
16 須田信英, PID 制御, 朝倉書店 (1992)
17 K. Astrom and T. Hagglund, "The future of PID control,", Control EDngineering Practice, no.9, pp.1163-1175 (2001)