Absolute stability analysis in uncertain static fuzzy control systems with the parametric robust Popov criterion

Bing-Fei Wu*, Li Shan Ma, Jau Woei Perng, Hung I. Chin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

This study analyzes the absolute stability in static fuzzy logic control systems with certain and uncertain parameters. For certain static fuzzy control systems, the absolute stability can be analyzed with Popov criterion. The uncertain parameters for absolute stability analysis include the reference input, actuator gain and interval linear plant. The parametric robust Popov criterion based on Lur'e systems is applied to stability analysis respect to uncertain parameters. In our work, the parametric robust Popov criterion is applied to analyze absolute stability in static fuzzy logic control systems first time. This study can provide a valuable reference in designing fuzzy control systems. Finally, numerical simulations are provided to verify the analytical results.

Original languageEnglish
Title of host publication2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008
Pages1325-1330
Number of pages6
DOIs
StatePublished - 10 Nov 2008
Event2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 - Hong Kong, China
Duration: 1 Jun 20086 Jun 2008

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Conference

Conference2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008
CountryChina
CityHong Kong
Period1/06/086/06/08

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    Wu, B-F., Ma, L. S., Perng, J. W., & Chin, H. I. (2008). Absolute stability analysis in uncertain static fuzzy control systems with the parametric robust Popov criterion. In 2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 (pp. 1325-1330). [4630544] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2008.4630544