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Structure and BIBO stability of a three-dimensional fuzzy two-term control system

Author

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  • Zhang, Xianxia
  • Li, Shaoyuan
  • Li, Hanxiong

Abstract

A novel three-dimensional fuzzy logic controller (3D FLC) was developed recently for spatially distributed systems. In this study, the inherent spatial structure feature of a 3D FLC with two spatial inputs (also called as 3D two-term FLC) is first exposed via an analytical model. Then, the global bounded-input/bounded-output (BIBO) stability of the 3D fuzzy two-term control system is discussed. A sufficient condition is derived and provided as a useful criterion for the controller design of the 3D two-term FLC. Finally, a catalytic packed-bed reactor is presented as an example of spatially distributed process to demonstrate the effectiveness of the controller.

Suggested Citation

  • Zhang, Xianxia & Li, Shaoyuan & Li, Hanxiong, 2010. "Structure and BIBO stability of a three-dimensional fuzzy two-term control system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(10), pages 1985-2004.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:10:p:1985-2004
    DOI: 10.1016/j.matcom.2010.02.009
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