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

Xianxia Zhang, Shaoyuan Li and Hanxiong Li

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 10, 1985-2004

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.

Keywords: Fuzzy control; Three-dimensional fuzzy set; Stability analysis; Spatial information processing (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:10:p:1985-2004

DOI: 10.1016/j.matcom.2010.02.009

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