PID control of FOPDT plants with dominant dead time based on the modulus optimum criterion

• Autorzy: Cvejn J.

Identyfikatory

DOI

10.1515/acsc-2016-0001

• Języki publikacji: EN

Abstrakty

EN

The modulus optimum (MO) criterion can be used for analytical design of the PID controller for linear systems with dominant dead time. However, although the method usually gives fast and non-oscillating closed-loop responses, in the case of large dead time the stability margin gets reduced and even non-stable behavior can be observed. In this case a correction of the settings is needed to preserve the stability margin. We describe and compare two methods of design of the PID controller based on the MO criterion that for the stable first-order systems with dead time preserve the stability margin, trying to keep maximum of the performance of the original MO settings.

Słowa kluczowe

EN

PID controller; process control; dead time; modulus optimum; magnitude optimum

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2016
• Tom: Vol. 26, no. 1
• Strony: 5--17
• Opis fizyczny: Bibliogr. 14 poz., wykr., wzory

Twórcy

autor

Cvejn J.

• Faculty of Electrical Engineering and Informatics, University of Pardubice, Studentska 95, 532 10, Pardubice, Czech Republic

Bibliografia

• [1] K. J. Åström and T. Hägglund: PID Controllers: Theory, Design, and Tuning, 2nd edition, Instrument Society of America, 1995.
• [2] K. J. Åström, H. Panagopoulos, T. Hägglund: Design of PID controllers based on non-convex optimization. Automatica, 34 (1998), 585-601.
• [3] T. K. Kiong, W. Quing-Guo, H. CH. Chiech and T. J. Hägglund: Advances in PID Control. Springer Verlag. 1999.
• [4] A. O’Dwyer: Handbook of PI and PID Tuning Rules. Imperial College Press. 2003.
• [5] J. G. Ziegler and N. B. Nichols: Optimum settings for automatic controllers. Trans. of the ASME, 64 (1942), 759-768.
• [6] G. H. Cohen and G. A. Coon: Theoretical consideration of retarded control. Trans. of the ASME, 75 (1953), 827-834.
• [7] K. L. Chien, J. A. Hrones and J. B. Reswick: On the automatic control of generalized passive systems. Trans. of the ASME, 74, (1952), 175-185.
• [8] A. M. Lopez, P. W. Murrill and C. L. Smith: Controller tuning relationships based on integral performance criteria. Instrumentation Technology, 14(11), 1967.
• [9] R. C. Oldenbourg and H. Sartorius: A uniform approach to the optimum adjustments of control loops. Trans. of the ASME, 76 (1954), 1265-1279.
• [10] D. Vrancić , Y. Peng and S. Strmcnik: A new PID controller tuning method based on multiple integrations. Control Engineering Practice, 7 (1999), 623-633.
• [11] J. Cvejn: The design of PID controller for non-oscillating time-delayed plants with guaranteed stability margin based on the modulus optimum criterion. J. of Process Control, 23 (2013), 570-584.
• [12] J. Cvejn: PID control of FOPDT plants with dominant dead time - The frequency domain approach. Proc. of the 2013 Int. Conf. on Process Control, Strbske Pleso, Slovakia, (2013), 53-56.
• [13] J. Cvejn: Sub-optimal PID controller settings for FOPDT systems with long dead time. J. of Process Control, 19 (2009), 1486-1495.
• [14] D. Vrancić , S. Strmcnik and D. Jurcić: A magnitude optimum multiple integration tuning method for filtered PID controller. Automatica, 37 (2001), 1473-1479.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę