Synthesis of robust controller with an internal model for objects without self-alignment
DOI:
https://doi.org/10.15587/1729-4061.2017.108531Keywords:
synthesis of controller, internal model, Н∞-norm, integral object, quality indicatorsAbstract
We examined the synthesis of an automated control system, which ensures the required operation quality of objects without self-alignment. As a result of employing as an optimality criterion a minimum of the Н∞-norm of a transfer function of the closed system, we obtained structures of the controllers with an internal model for the objects without self-alignment of first and second order with a delay. It was found that such controllers had one adjustable parameter, which is a compromise between the quality and the robustness of the closed system. By changing this parameter, it is possible to receive different quantitative indicators of the system operation quality. We derived direct and unambiguous dependences of key quality indicators of the system on the parameter of Н∞-controller. Results of these dependences are entered into a database. Based on these data, we created a program that determines such settings of the controller, which provide the required quality of a control system.
Therefore, it is possible to ensure with a guarantee maintaining the assigned quality indicator, which is convenient for practice, or achieve the desired combination of several quality indicators that is executed over the entire range of system operation, thereby ensuring its robustness.
References
- Egupov, N. D. (Ed.) (2001). Methods of robust, neuro-fuzzy, and adaptive control. Мoscow: Izd-vo MGTU im. Baumana, 744.
- Mosca, E., Pandolfi, L. (Eds.) (1991). H-∞ Control Theory. London: British Library Cataloguing, 325. doi: 10.1007/bfb0084465
- O’Dwyer, A. (2009). Handbook of PI and PID controller tuning rules. Ireland: Dublin Institute of Technology, 624. doi: 10.1142/p575
- Brosilow, С., Joseph, B. (2002). Techniques of model-based control. USA: Prentice Hall, 704.
- Liu, T., Gao, F. (2011). Control of Single-Input-Single-Output (SISO) Processes. Advances in Industrial Control, 243–277. doi: 10.1007/978-0-85729-977-2_7
- Vilanova, R. (2008). IMC based Robust PID design: Tuning guidelines and automatic tuning. Journal of Process Control, 18 (1), 61–70. doi: 10.1016/j.jprocont.2007.05.004
- Lin, M. G., Lakshminarayanan, S., Rangaiah, G. P. (2008). A Comparative Study of Recent/Popular PID Tuning Rules for Stable, First-Order Plus Dead Time, Single-Input Single-Output Processes. Industrial & Engineering Chemistry Research, 47 (2), 344–368. doi: 10.1021/ie0704546
- Shamsuzzoha, M., Lee, M. (2007). IMC−PID Controller Design for Improved Disturbance Rejection of Time-Delayed Processes. Industrial & Engineering Chemistry Research, 46 (7), 2077–2091. doi: 10.1021/ie0612360
- Arrieta, O., Vilanova, R. (2011). Simple PID tuning rules with guaranteed Ms robustness achievement. IFAC Proceedings Volumes, 44 (1), 12042–12047. doi: 10.3182/20110828-6-it-1002.02251
- Alfaro, V. M., Vilanova, R. (2012). Simple Robust Tuning of 2DoF PID Controllers From A Performance/Robustness Trade-off Analysis. Asian Journal of Control, 15 (6), 1700–1713. doi: 10.1002/asjc.653
- Kovrygo, Y. M., Bahan, T. H. (2013). Method of design H∞-PID-controler for objects with delay. Naukovi visti NTUU "KPI", 1, 27–33.
- Kovrygo, Y. M., Bahan, T. H., Bunke, A. S. (2013). Methods to ensure stability of control systems based on pi and pid controllers. Eastern-European Journal of Enterprise Technologies, 3 (3 (63)), 58–63. Available at: http://journals.uran.ua/eejet/article/view/14740/12518
- Kovrygo, Y. M., Bahan, T. H., Bunke, A. S. (2014). Ensuring robustness in systems control of inertial heat power objects. Teploenergetika, 3, 9–14.
- Kovrygo, Y. M., Bahan, T. H., Uschapovskyi, A. P. (2014). Designing control systems with controller based on internal model with two degrees of freedom. Eastern-European Journal of Enterprise Technologies, 4 (11 (70)), 4–8. doi: 10.15587/1729-4061.2014.26307
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2017 Taras Bahan
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.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
