A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function

Dong Hwan Lee, Jin Bae Park, Young Hoon Joo, Hyun Suk Jeong

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

2 Citations (Scopus)

Abstract

In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.

Original languageEnglish
Title of host publication2010 IEEE World Congress on Computational Intelligence, WCCI 2010
DOIs
Publication statusPublished - 2010 Nov 25
Event2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - Barcelona, Spain
Duration: 2010 Jul 182010 Jul 23

Publication series

Name2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Other

Other2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010
CountrySpain
CityBarcelona
Period10/7/1810/7/23

Fingerprint

Fuzzy systems
Lyapunov functions
Linear matrix inequalities

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computational Theory and Mathematics

Cite this

Lee, D. H., Park, J. B., Joo, Y. H., & Jeong, H. S. (2010). A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function. In 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 [5584596] (2010 IEEE World Congress on Computational Intelligence, WCCI 2010). https://doi.org/10.1109/FUZZY.2010.5584596
Lee, Dong Hwan ; Park, Jin Bae ; Joo, Young Hoon ; Jeong, Hyun Suk. / A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function. 2010 IEEE World Congress on Computational Intelligence, WCCI 2010. 2010. (2010 IEEE World Congress on Computational Intelligence, WCCI 2010).
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abstract = "In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.",
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Lee, DH, Park, JB, Joo, YH & Jeong, HS 2010, A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function. in 2010 IEEE World Congress on Computational Intelligence, WCCI 2010., 5584596, 2010 IEEE World Congress on Computational Intelligence, WCCI 2010, 2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010, Barcelona, Spain, 10/7/18. https://doi.org/10.1109/FUZZY.2010.5584596

A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function. / Lee, Dong Hwan; Park, Jin Bae; Joo, Young Hoon; Jeong, Hyun Suk.

2010 IEEE World Congress on Computational Intelligence, WCCI 2010. 2010. 5584596 (2010 IEEE World Congress on Computational Intelligence, WCCI 2010).

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

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N2 - In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.

AB - In this paper, stability of continuous-time Takagi- Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order timederivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it possible to reduce the conservativeness of the previous result. The stability condition is formulated in terms of linear matrix inequalities (LMIs). The effectiveness of the proposed analysis approach is demonstrated by numerical examples.

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Lee DH, Park JB, Joo YH, Jeong HS. A less conservative LMI condition for stability analysis of continuous-time Takagi-Sugeno fuzzy systems via a new fuzzy Lyapunov function. In 2010 IEEE World Congress on Computational Intelligence, WCCI 2010. 2010. 5584596. (2010 IEEE World Congress on Computational Intelligence, WCCI 2010). https://doi.org/10.1109/FUZZY.2010.5584596