Abstract
The paper deals with the approximation of the systems with dominant first order dynamics by the Integrator Plus Dead Time (IPDT) model. They are attractive especially in control of unstable plants, where an open-loop identification may not be applied. This paper updates a previously published contribution based on analysis of the non-symmetrical oscillations with possible offset arising typically under relay control that has been improved to prevent computational errors in the case of a negligible disturbances, when the relay on and off times are nearly equal over one control period. The analytical results are followed by the experiments with several laboratory plant models. The obtained model parameters are used to tune disturbance observer based controllers to illustrate the performance of the proposed method in real applications.
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References
Astrom, K., Panagopoulos, H., Hagglund, T.: Design of PI controllers based on non-convex optimization. Automatica 34(5), 585–601 (1998)
Hang, C., Astrom, K., Ho, W.: Relay auto-tuning in the presence of static load disturbance. Automatica 29(2), 563–564 (1993)
Huba, M.: Constrained pole assignment control. In: Menini, L., Zaccarian, L., Abdallah, C.T. (eds.) Current Trends in Nonlinear Systems and Control, pp. 163–183. Birkhäuser, Boston (2006)
Huba, M.: Comparing 2DOF PI and predictive disturbance observer based filtered PI control. J. Process Control 23(10), 1379–1400 (2013)
Huba, M.: Performance measures, performance limits and optimal PI control for the IPDT plant. J. Process Control 23(4), 500–515 (2013)
Huba, M.: Performance portrait method: a new CAD tool. In: 10th IFAC Symposium on Advances in Control Education (ACE), Sheffield, UK (2013)
Huba, M., Ťapák, P.: Relay identification of IPDT plant by analyzing nonsymmetrical oscillations. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds.) EUROCAST 2011, Part II. LNCS, vol. 6928, pp. 585–592. Springer, Heidelberg (2012)
Huba, T., Huba, M., Ťapák, P., Bisták, P.: New thermo-optical plants for laboratory experiments. In: IFAC World Congress, Cape Town, South Africa (2014)
Liu, T., Gao, F.: Industrial Process Identification and Control Design: Step-test and Relay-experiment-based Methods. Advances in Industrial Control. Springer, London (2011)
Liu, T., Gao, F.: A generalized relay identification method for time delay and non-minimum phase processes. Automatica 45(4), 1072–1079 (2009)
Liu, T., Wang, Q.G., Huang, H.P.: A tutorial review on process identification from step or relay feedback test. J. Process Control 23(10), 1597–1623 (2013)
Park, J.H., Sung, S.W., Lee, I.B.: Improved relay auto-tuning with static load disturbance. Automatica 33(4), 711–715 (1997)
Shen, S.H., Wu, J.S., Yu, C.C.: Autotune identification under load disturbance. Ind. Eng. Chem. Res. 35(5), 1642–1651 (1996)
Sung, S.W., Lee, J.: Relay feedback method under large static disturbances. Automatica 42(2), 353–356 (2006)
Acknowledgment
This work has been partially supported by the grants APVV-0343-12 Computer aided robust nonlinear control design and VEGA 1/0937/14 Advanced methods for nonlinear modeling and control of mechatronic systems.
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Ťapák, P., Huba, M. (2015). Identification of First Order Plants by Relay Feedback with Non-symmetrical Oscillations. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_7
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DOI: https://doi.org/10.1007/978-3-319-27340-2_7
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