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Non-quadratic Stabilization for T-S Systems with Nonlinear Consequent Parts

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Book cover Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 444))

Abstract

This paper deals with nonlinear systems, which are modeled by T-S fuzzy model containing nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule is assumed to contain a linear part plus a sector-bounded nonlinear term. The proposed controller guarantees exponential convergence of states by utilizing a new non-quadratic Lyapunov function for Lyapunov stability analysis and Linear Matrix Inequality (LMI) formulation. Moreover, new relaxation methods are introduced for further reduction of conservativeness and maximizing the region of attractions. Numerical examples illustrate effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Iran University of Science and Technology, Narmak, 16846-13114, Tehran, Iran

    Hoda Moodi & Mohamad Farrokhi

  2. LAMIH UMR CNRS 8201, University of Valenciennes and Hainaut-Cambrsis, Le Mont Houy, 59313, Valenciennes, France

    Jimmy Lauber & Thierry Marie Guerra

Authors
  1. Hoda Moodi
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  2. Jimmy Lauber
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  3. Thierry Marie Guerra
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  4. Mohamad Farrokhi
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Editor information

Editors and Affiliations

  1. University Montpellier 2, LIRMM - CNRS UMR 5506, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Anne Laurent

  2. Institute for Human Factors and Technology Management, IAT, University of Stuttgart, Nobelstraße 12, 70569, Stuttgart, Germany

    Oliver Strauss

  3. LIP6, UPMC Univ. Paris 06, CNRS UMR 7606, F-75005, Paris, France

    Bernadette Bouchon-Meunier

  4. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2014 Springer International Publishing Switzerland

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Moodi, H., Lauber, J., Guerra, T.M., Farrokhi, M. (2014). Non-quadratic Stabilization for T-S Systems with Nonlinear Consequent Parts. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_54

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  • DOI: https://doi.org/10.1007/978-3-319-08852-5_54

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08851-8

  • Online ISBN: 978-3-319-08852-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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