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Nonlinear Control for Multiple-Input and Multiple-Output Nonlinear Systems with PB Models Based on I/O Linearization

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Recent Developments and New Directions in Soft Computing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 317))

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Abstract

This chapter proposes a servo control of multiple-input multiple-output (MIMO) nonlinear systems approximated by piecewise bilinear (PB) models. The approximated model is found to be fully parametric. The input-output (I/O) feedback linearization is applied to stabilize PB control systems. The controller can be represented as a Look-Up-Table (LUT). We apply the servo control based on PB models to the Caltech ducted fan model. Although the controller is simpler than the conventional I/O feedback linearizing controller, the control performance based on PB model is the same as the conventional one. The example is shown to confirm the feasibility of our proposals by computer simulations.

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Acknowledgments

This project was supported by a URP grant from Ford Motor Company which the authors thankfully acknowledge. Also, the authors would like to thank Dr. Dimitar Filev and Dr. Yan Wang of Ford Motor Company for his valuable comments and discussions. In addition, this work was supported by Grant-in-Aid for Young Scientists (B: 23700276) of The Ministry of Education, Culture, Sports, Science and Technology in Japan.

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Authors and Affiliations

  1. Tokai University, Hiratsuka, Kanagawa, 2591292, Japan

    Tadanari Taniguchi

  2. European Centre for Soft Computing, 33600, Mieres, Asturias, Spain

    Luka Eciolaza & Michio Sugeno

Authors
  1. Tadanari Taniguchi
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  2. Luka Eciolaza
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  3. Michio Sugeno
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Corresponding author

Correspondence to Tadanari Taniguchi .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California, USA

    Lotfi A. Zadeh

  2. Minister of Communications and Information Technologies of the Republic of Azerbaijan, Baku, Azerbaijan

    Ali M. Abbasov

  3. Iona College, Machine Intelligence Institute, New Rochelle, New York, USA

    Ronald R. Yager

  4. Department of Information Technology and Programming, Azerbaijan Technical University, Baku, Azerbaijan

    Shahnaz N. Shahbazova

  5. Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada

    Marek Z. Reformat

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Taniguchi, T., Eciolaza, L., Sugeno, M. (2014). Nonlinear Control for Multiple-Input and Multiple-Output Nonlinear Systems with PB Models Based on I/O Linearization. In: Zadeh, L., Abbasov, A., Yager, R., Shahbazova, S., Reformat, M. (eds) Recent Developments and New Directions in Soft Computing. Studies in Fuzziness and Soft Computing, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-319-06323-2_17

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  • DOI: https://doi.org/10.1007/978-3-319-06323-2_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06322-5

  • Online ISBN: 978-3-319-06323-2

  • eBook Packages: EngineeringEngineering (R0)

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