Parameter plane analysis of fuzzy control systems for limit cycle prediction

Jau Woei Perng*, Bing-Fei Wu, Tsu Tian Lee, Wen Chen Wu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The main purpose of this paper is to predict the limit cycles of fuzzy control system by combining the approaches of stability equation, describing function and parameter plane. The fuzzy controller is first linearized by using the describing function method. The stability of equivalent linearized system is then analyzed by using stability equations and the parameter plane method. According to this procedure, the amplitude and frequency of limit cycles generated by the fuzzy controller can be figured out clearly in the parameter plane. In addition, both the continuous and sampled-data systems are considered. Finally, a fuzzy control system with multiple nonlinearities is also illustrated to verify its validity.

Original languageEnglish
Title of host publicationProceedings of the 2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages802-807
Number of pages6
ISBN (Electronic)0780381254
DOIs
StatePublished - 1 Jan 2003
Event2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003 - Shanghai, China
Duration: 12 Oct 200315 Oct 2003

Publication series

NameIEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
Volume1

Conference

Conference2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003
CountryChina
CityShanghai
Period12/10/0315/10/03

Keywords

  • describing function
  • Fuzzy control
  • limit cycle
  • parameter plane

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