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Robust Guaranteed Cost Control for Nonlinear System Using Product Reduction Algorithm

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Advanced Solutions in Diagnostics and Fault Tolerant Control (DPS 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 635))

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Abstract

The paper presents a robust Guaranteed Cost Control (GCC) for nonlinear system using Product Reduction Algorithm (PRA). The proposed approach starts with a general description of the nonlinear system with nonlinear term in the state equation and assumptions regarding to a nonlinear function. The subsequent part of the paper is concerned with the design of the robust controller using Linear Matrix Inequalities (LMIs). Next, an algorithm to solve linear optimization problem base on PRA is proposed. The final part presents results obtained for the two–tank system.

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Authors and Affiliations

  1. Institute of Control and Computation Engineering, University of Zielona Góra, Zielona Góra, Poland

    Mariusz Buciakowski, Marcin Pazera & Marcin Witczak

Authors
  1. Mariusz Buciakowski
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  2. Marcin Pazera
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  3. Marcin Witczak
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Corresponding author

Correspondence to Mariusz Buciakowski .

Editor information

Editors and Affiliations

  1. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Jan M. Kościelny

  2. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Michał Syfert

  3. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Anna Sztyber

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Buciakowski, M., Pazera, M., Witczak, M. (2018). Robust Guaranteed Cost Control for Nonlinear System Using Product Reduction Algorithm. In: Kościelny, J., Syfert, M., Sztyber, A. (eds) Advanced Solutions in Diagnostics and Fault Tolerant Control. DPS 2017. Advances in Intelligent Systems and Computing, vol 635. Springer, Cham. https://doi.org/10.1007/978-3-319-64474-5_7

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  • DOI: https://doi.org/10.1007/978-3-319-64474-5_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64473-8

  • Online ISBN: 978-3-319-64474-5

  • eBook Packages: EngineeringEngineering (R0)

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