Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function

Dae Young Kim, Jin Bae Park, Young Hoon Joo

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

1 Citation (Scopus)

Abstract

This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.

Original languageEnglish
Title of host publicationFUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems
DOIs
Publication statusPublished - 2013 Nov 22
Event2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013 - Hyderabad, India
Duration: 2013 Jul 72013 Jul 10

Publication series

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

Other

Other2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013
CountryIndia
CityHyderabad
Period13/7/713/7/10

Fingerprint

Conservativeness
Fuzzy Function
Affine Systems
Fuzzy systems
Lyapunov functions
Stability Condition
Fuzzy Systems
Lyapunov Function
Lyapunov Stability Theory
Membership Function
Null
Matrix Inequality
Linear Inequalities
Membership functions
Linear matrix inequalities
Term
Simulation

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

Cite this

Kim, D. Y., Park, J. B., & Joo, Y. H. (2013). Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function. In FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems [6622411] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZ-IEEE.2013.6622411
Kim, Dae Young ; Park, Jin Bae ; Joo, Young Hoon. / Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function. FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems. 2013. (IEEE International Conference on Fuzzy Systems).
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Kim, DY, Park, JB & Joo, YH 2013, Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function. in FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems., 6622411, IEEE International Conference on Fuzzy Systems, 2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013, Hyderabad, India, 13/7/7. https://doi.org/10.1109/FUZZ-IEEE.2013.6622411

Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function. / Kim, Dae Young; Park, Jin Bae; Joo, Young Hoon.

FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems. 2013. 6622411 (IEEE International Conference on Fuzzy Systems).

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

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N2 - This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.

AB - This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.

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Kim DY, Park JB, Joo YH. Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function. In FUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems. 2013. 6622411. (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZ-IEEE.2013.6622411