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Fuzzy Chaos Synchronization via Sampled Driving Signals

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Integration of Fuzzy Logic and Chaos Theory

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 187))

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Abstract

In this chapter the Tagaki-Sugeno fuzzy model representation of a chaotic system is used to find an alternative solution to the chaos synchronization problem. One of the advantages of the proposed approach is that it allows to express the synchronization problem as a fuzzy logic observer design in terms of linear matrix inequalities, which can be solved numerically using readily advailable software packages. Also, given the linear nature of this fuzzy representation, it is possible to use sophisticated methodologies to consider the more practical problem of digital implementation of a synchronization design. In particular, in this contribution the problem of a master-slave chaos synchronization design from sampled drive signals is considered and a solution is proposed as the state-matching digital redesign of the fuzzy logic observer designed to solve the continuous-time synchronization problem. The effectiveness of the proposed synchronization method is illustrated through numerical simulations of three well-known benchmark chaotic system, namely, Chua’s circuit, Chen’s equation, and the Duffing oscillator.

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Authors
  1. Juan Gonzalo Barajas-Ramírez
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Editor information

Editors and Affiliations

  1. FB Elektrotechnik, FernUniversität in Hagen, Postfach 940, 55084, Hagen, Germany

    Zhong Li  & Wolfgang A. Halang  & 

  2. Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, PR China

    Guanrong Chen

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© 2006 Springer-Verlag Berlin Heidelberg

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Barajas-Ramírez, J.G. (2006). Fuzzy Chaos Synchronization via Sampled Driving Signals. In: Li, Z., Halang, W.A., Chen, G. (eds) Integration of Fuzzy Logic and Chaos Theory. Studies in Fuzziness and Soft Computing, vol 187. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32502-6_10

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  • DOI: https://doi.org/10.1007/3-540-32502-6_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26899-4

  • Online ISBN: 978-3-540-32502-4

  • eBook Packages: EngineeringEngineering (R0)

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