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Journal of Electrical Engineering

The Journal of Slovak University of Technology

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Volume 65, Issue 2

Issues

Gain–Scheduled Controller Design: Variable Weighting Approach

Adrian Ilka
  • Corresponding author
  • Institute of Control and Industrial Informatics, Slovak University of Technology in Bratislava, Faculty of Electrical Engineering and Information Technology, Ilkovičova 3, 812 19 Bratislava, Slovakia
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Vojtech Veselý
  • Institute of Control and Industrial Informatics, Slovak University of Technology in Bratislava, Faculty of Electrical Engineering and Information Technology, Ilkovičova 3, 812 19 Bratislava, Slovakia
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2014-04-23 | DOI: https://doi.org/10.2478/jee-2014-0017

Abstract

Among the most popular approaches to non-linear control is gain-scheduled (GS) controller, which can have better performance than robust and other ones. Our approach is based on a consideration that in linear parameter varying (LPV) system, scheduling parameters and their derivatives with respect to time are supposed to lie in a priori given hyper rectangles. To access the performance quality a new quadratic cost function is used, where weighting matrices are time varying depends on scheduled parameter. The class of control structure includes decentralised fixed order output feedbacks like PID controller. Numerical examples illustrate the effectiveness of the proposed approach.

Keywords: gain-scheduled control; decentralised control; Lyapunov function; quadratic cost function; MIMO LPV systems; PID controller

References

  • [1] SATO, M. : Brief paper: Gain-Scheduled Output-Feedback Controllers Depending Solely on Scheduling Parameters via Parameter- Dependent Lyapunov Functions, Automatica 47 No. 12 (Dec 2011), 2786-2790.Web of ScienceCrossrefGoogle Scholar

  • [2] KÖROĜLU, H. : Robust Generalized Asymptotic Regulation via an LPV Controller without Parameter Derivative Dependence, 49th IEEE Conference on Decision and Control (CDC), Dec 2010, pp. 4965-4971.Google Scholar

  • [3] FAN WANG-BALAKRISHNAN, V. : Improved Stability Analysis and Gain-Scheduled Controller Synthesis for Parameter- Dependent Systems, IEEE Transactions on Automatic Control 47 No. 5 (May 2002), 720-734.CrossrefGoogle Scholar

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  • [9] STEWART, G. E. : A Pragmatic Approach to Robust Gain Scheduling, 7th IFAC Symposium on Robust Control Design, vol. 7, Aalborg Congress & Culture Centre, Denmark, 2012, pp. 355-362.Google Scholar

About the article

Adrian Ilka

Adrian Ilka (Ing) was born in Dunajská Streda, Slovakia in 1987. He received Bachelor of Science degree from the Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava in 2010 and Master of Science degree in technical cybernetics in 2012 at the same place where he is from 2012 until now doing further studies to get his PhD. title. He is interested in power system control, robust control, Lyapunov theory of stability, linear matrix inequalities and gain-scheduled control.

Vojtech Veselý

Vojtech Veselý (Prof, Ing, DrSc) was born in Veĺké Kapušany, Slovakia, in 1940. He received an MSc in Electrical Engineering from the Leningrad Electrical Engineering Institute, St. Peterburg, Russia, in 1964, the PhD and the DSc degrees from the Slovak University of Technology, Bratislava, Slovak Republic, in 1971 and 1985, respectively. Since 1964 he has been with the Department of Automatic Control Systems, STU FEI in Bratislava. Since 1986 he has been a full professor. His research interests include the areas of power system control, decentralised control of large-scale systems, robust control, predictive control and optimisation. He is author or coauthor of more than 250 scientific papers.


Published Online: 2014-04-23

Published in Print: 2014-03-01


Citation Information: Journal of Electrical Engineering, Volume 65, Issue 2, Pages 116–120, ISSN (Online) 1335-3632, DOI: https://doi.org/10.2478/jee-2014-0017.

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© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. BY-NC-ND 3.0

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Adrian Ilka, Tomas Ludwig, Ivan Ottinger, Marián Tárník, Eva Miklovicová, Vojtech Veselá, and Ján Murgas
IFAC-PapersOnLine, 2015, Volume 48, Number 14, Page 82

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