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Non-parametric Dual Control of Non-minimum Phase Linear Dynamic Plant Using Shunt Compensator

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  • Control Theory and Applications
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Abstract

This article describes a new design approach of dual control systems for non-minimum phase dynamic systems which involve the use of shunt compensator, the type of which is determined by the non-parametric identification algorithm. In this study the dynamic system is represented with the observation data and the model whose analytical form is unknown and that has no a priori information. The identification algorithm is based on the rule of extracting essential variables in a non-parametric model which allows determining the order of the difference equation of the plant model. The information obtained is necessary to select the type of parallel compensator or shunt accurately. Both the shunt and the plant form an extended object that satisfies the conditions presented by the strict minimum-phase system. The use of the proposed control scheme for a linear dynamic plant makes it possible to synthesize a non-parametric dual control algorithm. An illustrative example of linear dynamic control system is presented to show the effectiveness of the proposed method. The identification of the plant was carried out preliminarily and the type of compensator was chosen. Further stage of non-parametric dual controller design was implemented to achieve control goals. The simulation results show that the application of the approach allows achieving better control efficiency indicators in comparison with the PID controller.

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Authors and Affiliations

  1. Siberian Federal University, Svobodny pr., 79, Krasnoyarsk, Russia

    Anastasia Raskina, Ekaterina Chzhan, Darya Yareshchenko & Maria Videnina

Authors
  1. Anastasia Raskina
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  2. Ekaterina Chzhan
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  3. Darya Yareshchenko
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  4. Maria Videnina
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Corresponding author

Correspondence to Anastasia Raskina.

Additional information

The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (theme No. FSRZ-2020-0011).

Anastasia Raskina received her Ph.D. degree in computer science in 2018. Her research interests include dual control, adaptive control, and system identification.

Ekaterina Chzhan received her Ph.D. degree in computer science in 2018. Her research interests include data analysis, non-parametric algorithms, and dual control.

Darya Yareshchenko received her Ph.D. degree in computer science in 2020. Her research interests include non-parametric system identification and control algorithms.

Maria Videnina received her Master’s degree in computer science in 2019. Her research interests include data analysis and machine learning.

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Raskina, A., Chzhan, E., Yareshchenko, D. et al. Non-parametric Dual Control of Non-minimum Phase Linear Dynamic Plant Using Shunt Compensator. Int. J. Control Autom. Syst. 20, 3614–3623 (2022). https://doi.org/10.1007/s12555-021-0254-2

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  • DOI: https://doi.org/10.1007/s12555-021-0254-2

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