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Chaos in simple hybrid system and its control

Chaos in simple hybrid system and its control

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  • Author(s): T. Kousaka 1 ; S. Tahara 1 ; T. Ueta 2 ; M. Abe 1 ; H. Kawakami 3
    • View affiliations
    • Affiliations: 1: Faculty of Engineering, Department of Electronic and Electrical Engineering, Fukuyama University, Hiroshima, Japan
      2: Faculty of Engineering, Department of Information Science and Intelligent Systems, The University of Tokushima, Japan
      3: Faculty of Engineering, Department of Electrical and Electronic Engineering, The University of Tokushima, Japan
  • Source: Volume 37, Issue 1, 4 January 2001, p. 1 – 2
    DOI:  10.1049/el:20010033 , Print ISSN 0013-5194, Online ISSN 1350-911X
© IEE
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A simple hybrid system exhibiting chaos is developed and a chaos control method realised. It is shown that, since the dynamics can be expressed by a return map, the system has an observable chaos. The control method, which is based on the pole assignment technique, can stabilise any unstable periodic orbit in the chaos. The theoretical result is verified by laboratory experiments.

Inspec keywords: power electronics; Lyapunov methods; pole assignment; chaos

Other keywords: unstable periodic orbit; hybrid system; chaos control method; return map; power electronic circuits; observable chaos; pole assignment technique

Subjects: Power electronics, supply and supervisory circuits; Chaotic behaviour in circuits; General circuit analysis and synthesis methods

References

    1. 1)
      • G. Poddar , K. Chakrabarty , S. Banerjee . Control of chaos in the boost converter. Electron. Lett. , 11 , 841 - 842
    2. 2)
      • G. Poddar , K. Chakrabarty , S. Banerjee . Experimental control of chaotic behavior of buck converter. IEEE Trans. , 502 - 504
    3. 3)
      • T. Saito , K. Mitsubori . Control of chaos from a piecewise linear hysteresis circuit. IEEE Trans. , 168 - 172
    4. 4)
      • J.H.B. Deane . Chaos in a current-mode controlled boost DC-DC converter. IEEE Trans. , 680 - 683
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