Research of the of identification algorithm of control object of second-order links with a delay time
DOI:
https://doi.org/10.15587/2312-8372.2019.157602Keywords:
second-order link, controller settings, regulation time, identification algorithm, transient process, delay timeAbstract
The object of research is the optimal controller settings and transient quality indicators. One of the most problematic places is that modern technological processes are complex control objects, when designing automation systems, it becomes important to identify the control object and calculate the controller settings and optimize them. Optimal controller settings will ensure the highest possible product quality in the conditions of this technology and its minimum cost with a given production volume. Determining the optimal setting parameters of the controller by conducting an experiment at the facility itself can lead to a loss in the quality of the finished product, damage to raw materials, and catalysts. The calculation algorithm is implemented using the “Maple” software package.
In the course of the study, an algorithm for identifying control objects with different types of transients by second-order links with a delay time was proposed and investigated. In the course of the study, on the basis of the transfer functions of equivalent objects thus obtained, the settings of the P, PI and PID controllers (proportional, proportional-integral, and proportional-integral-differential) are found using the triangle method, the sustained oscillation method (Nicolas-Ziegler method) and using the proposed algorithm. These settings are intended for automatic control systems. A comparative analysis of the quality indicators of transient processes of the studied automatic control systems with the settings obtained by different methods. According to the results of a comparative analysis, it is concluded that the found parameters of the controller according to the proposed algorithm significantly improved the dynamic properties of the system (overshoot, regulation time, static and dynamic errors). An algorithm for searching for controller settings is proposed and investigated with the introduction of a restriction on the overshoot of the transition process, which also shows a positive result. The identification error does not exceed 3 %, which is quite acceptable for calculations of this type.
References
- Karakawa, K., Abe, N., Ichihara, H. (2002). Joint design method of closed-loop identification and IMC structure for temperature control system with time delay. Proceedings of the 41st SICE Annual Conference. SICE 2002. doi: https://doi.org/10.1109/sice.2002.1196548
- Ananiev, M. V., Tselishchev, O. B., Loriia, M. H., Yelisieiev, P. Y., Yerokhina, O. V. (2010). Identyfikatsiia obiektiv keruvannia. Vymiriuvalna ta obchysliuvalna tekhnika v tekhnolohichnykh protsesa, 2 (36), 178–181.
- Astrom, K. J., Hang, C. C., Lim, B. C. (1994). A new Smith predictor for controlling a process with an integrator and long dead-time. IEEE Transactions on Automatic Control, 39 (2), 343–345. doi: https://doi.org/10.1109/9.272329
- Hongdong, Z., Ruixia, L., Huihe, S. (2004). Control for integrating processes based on new modified smith predictor. Control 2004, University of Bath, UK.
- Kealy, T., O'Dwyer, A. (2002). Comparison of open- and closed-loop process identification techniques in the time domain. Proceedings of the 3rd Wismarer Automatisierungssymposium. Wismar.
- Mamat, R., Fleming, P. J. (1995). Method for on-line identification of a first order plus dead-time process model. Electronics Letters, 31 (15), 1297–1298. doi: https://doi.org/10.1049/el:19950865
- Bahtadze, N. N., Lotockiy, V. A. (2009). Contemporary methods of production process control. Problemy upravleniya, 3.1, 56–63.
- Verhaegen, M., Verdult, V. (2012). Filtering and System Identification: A Least Squares Approach. Cambridge University Press, 422.
- Soderstrom, T., Stoica, P. (2002). Instrumental variable methods for system identification. Circuits, Systems, and Signal Processing, 21 (1), 1–9. doi: https://doi.org/10.1007/bf01211647
- Orlov, Yu. F. (2006). Identifikaciya po chastotnym parametram. Differencial'nye uravneniya, 42 (3), 425–428.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 Maryna Loriia
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.