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Optimal Control of a Ball and Beam Nonlinear Model Based on Takagi-Sugeno Fuzzy Model

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Book cover Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 641))

Abstract

In this work, an improved approach for Takagi-Sugeno system identification is used. Linear Quadratic Regulator is applied for an optimal state feedback. Duality theorem and Linear Quadratic Regulator is applied for an optimal state estimation. Simulation results over the ball and beam nonlinear model show a stable closed loop in the full range and good transient response.

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Aknowledgement

This work is funded by Spanish Ministry of Economy and Competitiveness (Assisted Navigation through Natural Language (NAVEGASE) project 265 (DPI 2014-53525-C3-1-R)).

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Authors and Affiliations

  1. Intelligent Control Group, Centre for Automation and Robotics UPM - CSIC, Universidad Politécnica de Madrid, C/ J. Gutiérrez Abascal, 2., 28006, Madrid, Spain

    José Miguel Adánez, Basil Mohammed Al-Hadithi, Agustín Jiménez & Fernando Matía

  2. Department of Electrical, Electronics, Control Engineering and Applied Physics, Higher Technical School of Industrial Design and Engineering, Universidad Politécnica de Madrid, C/ Ronda de Valencia, 3., 28012, Madrid, Spain

    Basil Mohammed Al-Hadithi

Authors
  1. José Miguel Adánez
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  2. Basil Mohammed Al-Hadithi
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  3. Agustín Jiménez
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  4. Fernando Matía
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Corresponding author

Correspondence to José Miguel Adánez .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

  4. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Adánez, J.M., Al-Hadithi, B.M., Jiménez, A., Matía, F. (2018). Optimal Control of a Ball and Beam Nonlinear Model Based on Takagi-Sugeno Fuzzy Model. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_1

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

  • eBook Packages: EngineeringEngineering (R0)

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