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Fuzzy Logic pp 487–496Cite as

Stability Analysis of Fuzzy Control Systems Based on the Conicity Criterion.

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Part of the book series: Theory and Decision Library ((TDLD,volume 12))

Abstract

In this paper we study a control system where the controller is a nonlinear function obtained from a set of fuzzy rules. Having in mind the nonlinearities involved, the main objetive of the methodology presented is to guarantee stability by applying the Conicity Criterion. Furthermore, a method to find the critical fuzzy rules influencing stability is proposed. Thus, these rules are easily identified and modified. Simulation examples confirm the good performance of the method.

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References

  1. G. Zames, On the I-O stability of time Varying Non-Linear Feedback Systems. IEEE Trans, on Autom. Control, vol AC-11, pp. 228–238. (1966).

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  3. A. Ollero, A. García-Cerezo, Direct Digital Control, Autotuning and Supervision ussing Fuzzy Logic. Fuzzy Sets and Systems, Vol. 30, pp. 135–153. (1989).

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  4. J. Aracil, A. Ollero, A. García-Cerezo. Stability Indices for the Global Analysis of Expert Control Systems. IEEE Trans. on SMC, Vol 19, N 5, pp. 998–1007. (1989).

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  5. J.J. Craig. Adaptive Control of mechanical manipulators. Addison-Wesley, (1988).

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Author information

Authors and Affiliations

  1. E.T.S.Ing. Industriales, Universidad de Sevilla, C/ Avda. Reina Mercedes S/N., 41012, Sevilla, Spain

    J. Aracil

  2. E.T.S.Ing. Industriales, Universidad de Vigo. C/Lagoas-Marcosende n°9, Aptdo. 62., 36280, Vigo, Spain

    A. Barreiro

  3. Dpto. de Ingeniería de Sistemas y Automática, Universidad de Málaga, C/ Plaza de ‘El Ejido’ s/n., 29013, Málaga, Spain

    A. García-Cerezo & A. Ollero

Authors
  1. J. Aracil
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  2. A. García-Cerezo
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  3. A. Barreiro
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  4. A. Ollero
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Editor information

Editors and Affiliations

  1. University of Antwerp, Antwerp, Belgium

    R. Lowen

  2. Université de Liège, Liège, Belgium

    M. Roubens

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© 1993 Springer Science+Business Media Dordrecht

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Aracil, J., García-Cerezo, A., Barreiro, A., Ollero, A. (1993). Stability Analysis of Fuzzy Control Systems Based on the Conicity Criterion.. In: Lowen, R., Roubens, M. (eds) Fuzzy Logic. Theory and Decision Library, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2014-2_45

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  • DOI: https://doi.org/10.1007/978-94-011-2014-2_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4890-3

  • Online ISBN: 978-94-011-2014-2

  • eBook Packages: Springer Book Archive

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