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Identification of First Order Plants by Relay Feedback with Non-symmetrical Oscillations

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Computer Aided Systems Theory – EUROCAST 2015 (EUROCAST 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9520))

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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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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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Authors and Affiliations

  1. Slovak University of Technology in Bratislava, Ilkovičova 3, 812 19, Bratislava, Slovakia

    Peter Ťapák & Mikuláš Huba

Authors
  1. Peter Ťapák
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  2. Mikuláš Huba
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Corresponding author

Correspondence to Peter Ťapák .

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Editors and Affiliations

  1. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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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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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27339-6

  • Online ISBN: 978-3-319-27340-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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