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

Xianxia Zhang; Shaoyuan Li; Hanxiong Li

doi:10.1016/j.matcom.2010.02.009

Author(s)

Xianxia Zhang
Shaoyuan Li
Hanxiong Li

Detail(s)

Original language	English
Pages (from-to)	1985-2004
Journal / Publication	Mathematics and Computers in Simulation
Volume	80
Issue number	10
Publication status	Published - Jun 2010

Link(s)

DOI	DOI https://doi.org/10.1016/j.matcom.2010.02.009 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-77953133131&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(85cbc997-0a34-4818-b620-7aaf7d315ece).html

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. © 2010 IMACS.

Research Area(s)

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Structure and BIBO stability of a three-dimensional fuzzy two-term control system. / Zhang, Xianxia; Li, Shaoyuan; Li, Hanxiong.
In: Mathematics and Computers in Simulation, Vol. 80, No. 10, 06.2010, p. 1985-2004.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Zhang, X, Li, S & Li, H 2010, 'Structure and BIBO stability of a three-dimensional fuzzy two-term control system', Mathematics and Computers in Simulation, vol. 80, no. 10, pp. 1985-2004. https://doi.org/10.1016/j.matcom.2010.02.009

Zhang, X., Li, S., & Li, H. (2010). Structure and BIBO stability of a three-dimensional fuzzy two-term control system. Mathematics and Computers in Simulation, 80(10), 1985-2004. https://doi.org/10.1016/j.matcom.2010.02.009

Zhang X, Li S, Li H. Structure and BIBO stability of a three-dimensional fuzzy two-term control system. Mathematics and Computers in Simulation. 2010 Jun;80(10):1985-2004. doi: 10.1016/j.matcom.2010.02.009

Zhang, Xianxia ; Li, Shaoyuan ; Li, Hanxiong. / Structure and BIBO stability of a three-dimensional fuzzy two-term control system. In: Mathematics and Computers in Simulation. 2010 ; Vol. 80, No. 10. pp. 1985-2004.