Abstract
The cascade control architecture is a standard solution in control engineering practice for industrial plants with considerable time delays. In this paper, an affine parameterization based design of cascade controllers for time delay plants is presented. The design rests on the use of the so-called quasi-integrating meromorphic function used to prescribe the desired open-loop behaviour. Due to the parameterization approach both the slave and master controllers are obtained as time delay systems. Unlike most of relevant papers on the subject, the primary controlled output is not considered to be directly dependent on the secondary one. The only property required from the secondary output is its markedly faster response to disturbances to be compensated for.
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References
Goodwin, G.C., Graebe, S.F., Salgado, M.E.: Control System Design. Prentice Hall, Englewood Cliffs (2001)
Kaya, I., Atherton, D.P.: Use of Smith Predictor in the outer loop for Cascaded Control of Unstable and Integrating Processes. Industrial and Engineering Chemistry Research 47(6), 1981–1987 (2008)
Leva, A., Donida, F.: Autotuning in cascaded systems based on a single relay experiment. Journal of Process Control 19(5), 896–905 (2009)
Mirkin, L.: On the extraction of dead-time controllers and estimators from delay-free parameterizations. IEEE Trans. Automatic Control 48(5), 543–553 (2003)
Mirkin, L., Raskin, N.: Every stabilizing dead-time controller has an observer-predictor based structure. Automatica 39, 1747–1754 (2003)
Morari, M., Zafiriou, E.: Robust Process Control. Prentice Hall, Englewood Cliffs (1989)
Pekař, L., Prokop, R., Prokopová: Design of controllers for delayed integration processes using RMS ring. In: Mediterranean Conference on Control and Automation - Conference Proceedings, MED 2008, art. no. 4602062, pp. 146–151 (2008)
Pekař, L., Prokop, R., Matušu, R.: Algebraic control of unstable delayed first order systems using RQ-meromorphic functions. Mediterranean Conference on Control and Automation, MED, art. no. 4433754 (2007)
Shinskey, F.G.: Process Control Systems: Application, Design and Adjustment. McGraw-Hill, New York (1998)
Zhang, W., Allgower, F., Liu, T.: Controller parameterization for SISO and MIMO plants with time delay. Systems and Control Letters 55, 794–802 (2006)
Zítek, P., Hlava, J.: Algebraic design of anisochronic internal model control of time-delay systems. Control Engineering Practice 9, 501–516 (2001)
Zítek, P., Kučera, V.: Algebraic design of anisochronic controllers for time delay systems. Int. J. Control 76, 1654–1665 (2003)
Zítek, P., Kučera, V., Vyhlídal, T.: Affine Parameterization of Cascade Control for Time Delay Plants. In: Proc. of 9th IFAC Workshop on Time Delay Systems, Prague, IFAC-PapersOnline, Time Delay Systems, vol. 9 (2010)
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Zítek, P., Kučera, V., Vyhlídal, T. (2012). Cascade Control for Time Delay Plants. In: Sipahi, R., Vyhlídal, T., Niculescu, SI., Pepe, P. (eds) Time Delay Systems: Methods, Applications and New Trends. Lecture Notes in Control and Information Sciences, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25221-1_26
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DOI: https://doi.org/10.1007/978-3-642-25221-1_26
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