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On the quasi-controllability of continuous-time dynamic fuzzy control systems

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  • Feng, Yuhu
  • Hu, Liangjian

Abstract

This paper gives the controllability analysis of continuous-time dynamic fuzzy control system from the aspect of fuzzy differential equations. The fuzzy state is different from the crisp state, as the counterpart of the controllability concept in the classical control theory, the controllable target state must be restricted within some limits. Hence, the concepts of admissible controllable state subset and quasi-controllability are introduced to describe the controllability property for fuzzy control system. The sufficient and necessary conditions for the fuzzy control system to be quasi-controllable are obtained and some examples are given to demonstrate the problems discussed in this paper.

Suggested Citation

  • Feng, Yuhu & Hu, Liangjian, 2006. "On the quasi-controllability of continuous-time dynamic fuzzy control systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 177-188.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:177-188
    DOI: 10.1016/j.chaos.2005.08.177
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    References listed on IDEAS

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    1. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
    2. Kim, Jae-Hun & Park, Chang-Woo & Kim, Euntai & Park, Mignon, 2005. "Adaptive synchronization of T–S fuzzy chaotic systems with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1353-1361.
    3. Alasty, Aria & Salarieh, Hassan, 2005. "Controlling the chaos using fuzzy estimation of OGY and Pyragas controllers," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 379-392.
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    Cited by:

    1. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.

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