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Synthesizing Parametrically Robust Control Systems with State Controllers and Observers Based on Gramian Method

  • Control Theory and Applications
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Abstract

A method is proposed for creating an optimal parametrically robust structure system of a state observer based on the process of similarity converting of a plant model, in which the conversion matrix is formed by varying singular numbers of controllability and observability gramians. The method enables a state observer structure to be obtained with a definite ratio of controllability and observability that permits fulfillment of parametric robustness conditions, namely, absence of positive feedback in the controller’s composition.

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Authors and Affiliations

  1. Ivanovo State Power Engineering University, Rabfakovskaya st. 34, Ivanovo, 153003, Russia

    Sergey V. Tararykin, Anatoly A. Anisimov & Artem A. Gerasimov

Authors
  1. Sergey V. Tararykin
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  2. Anatoly A. Anisimov
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  3. Artem A. Gerasimov
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Correspondence to Anatoly A. Anisimov.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Young Ik Son under the direction of Editor Yoshito Ohta. Presented results were obtained within of state task given by Russian Ministry of Education and Science on 2017–2019 years.

Sergey V. Tararykin graduated from Ivanovo State Power Engineering University, Ivanovo, Russia in 1978. He was conferred on the Doctor of engineering degree in automation and control of industrial objects in 1992. His research interests include methods for structural and parametric synthesis of robust control systems and automatic systems for adaptive and robust control of industrial robots.

Anatoly A. Anisimov graduated from Ivanovo State Power Engineering University, Ivanovo, Russia in 1994. He was conferred on the Doctor of engineering degree in automation and control of industrial objects in 2014. His research interests include methods for structural and parametric synthesis of robust control systems and modern algorithms for parametric optimization and tuning of state controllers in real time mode

Artem A. Gerasimov graduated from Ivanovo State Power Engineering University, Ivanovo, Russia and received his bachelor degree in industrial electronics in 2016. His research interests include programming, microcontrollers and synthesis of robust control systems.

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Tararykin, S.V., Anisimov, A.A. & Gerasimov, A.A. Synthesizing Parametrically Robust Control Systems with State Controllers and Observers Based on Gramian Method. Int. J. Control Autom. Syst. 17, 2490–2499 (2019). https://doi.org/10.1007/s12555-018-0382-5

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  • DOI: https://doi.org/10.1007/s12555-018-0382-5

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