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

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Original languageEnglish
Pages (from-to)1985-2004
Journal / PublicationMathematics and Computers in Simulation
Issue number10
Publication statusPublished - Jun 2010


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. © 2010 IMACS.

Research Area(s)

  • Fuzzy control, Spatial information processing, Stability analysis, Three-dimensional fuzzy set