Synthesis of robust controllers for the control systems of technological units at iron ore processing plants

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.119646

Keywords:

robust controller, automated control, ore enrichment, suboptimal controller, frequency characteristics

Abstract

In order to synthesize a robust system of control over technological units, an analysis of appropriate mathematical models was performed. The uncertainty of models of technological iron ore processing units was accounted for by connecting a diagonal block at the top using a fractional linear transformation.

To study robust control systems of technological units, we applied the following types of robust controllers: suboptimal H∞-controller, a controller that was synthesized using the method of circuit formation, and µ-controller. We performed an analysis of results of the study into indicators of robust quality and stability of control, created on the basis of these types of controllers.

The best results were obtained using μ-controller, which ensures a minimal overshoot value of 2 %. Reducing the order of the selected μ-controller to the fourth order was performed by approximation using the Hankel norm. Under such a condition, a root-mean-square error relative to the base controller is 0.027.

Results of present research could be used in the synthesis of control over technological iron ore processing units under conditions of uncertainty in parameters. 

Author Biographies

Vladimir Morkun, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

Doctor of Technical Sciences, Professor, Vice-Rector for Research

Natalia Morkun, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

Doctor of Technical Sciences, Associated Professor, Head of Department

Department of automation, computer science and technology

Vitaliy Tron, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

PhD, Associate Professor

Department of automation, computer science and technology

Svitlana Hryshchenko, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

PhD, Head of department

Department of scientific and technical information

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Published

2018-02-22

How to Cite

Morkun, V., Morkun, N., Tron, V., & Hryshchenko, S. (2018). Synthesis of robust controllers for the control systems of technological units at iron ore processing plants. Eastern-European Journal of Enterprise Technologies, 1(2 (91), 37–47. https://doi.org/10.15587/1729-4061.2018.119646

Issue

Vol. 1 No. 2 (91) (2018): Information technology. Industry control systems

Section

Industry control systems

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Copyright (c) 2018 Vladimir Morkun, Natalia Morkun, Vitaliy Tron, Svitlana Hryshchenko

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