Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching

Ho Jun Kim, Jin Bae Park, Young Hoon Joo

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

1 Citation (Scopus)

Abstract

This paper presents a novel stabilization conditions with imperfect premise matching method for nonlinear systems that are represented by the Takagi-Sugeno (T-S) fuzzy model. The term imperfect premise matching has the advantage that the fuzzy controller can be modelled simply by discordance between premise rules of the T-S fuzzy model and those of fuzzy controller. For this reason, the fuzzy controller guaranteed the design flexibility result in decreasing the structural complexity of the fuzzy system. Also, the modified fuzzy Lyapunov function is employed for reducing the conservativeness in controller design and easing the restriction of the conventional fuzzy Lyapunov function. The sufficient conditions for the stabilization of the T-S fuzzy system are derived in terms of the linear matrix inequalities (LMIs). The numerical example is simulated to show the feasibility and effectiveness of the proposed method.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
Pages5643-5647
Number of pages5
Publication statusPublished - 2013 Sep 11
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 2013 Jun 172013 Jun 19

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period13/6/1713/6/19

Fingerprint

Fuzzy systems
Lyapunov functions
Stabilization
Controllers
Linear matrix inequalities
Nonlinear systems

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Kim, H. J., Park, J. B., & Joo, Y. H. (2013). Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching. In 2013 American Control Conference, ACC 2013 (pp. 5643-5647). [6580721] (Proceedings of the American Control Conference).
Kim, Ho Jun ; Park, Jin Bae ; Joo, Young Hoon. / Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching. 2013 American Control Conference, ACC 2013. 2013. pp. 5643-5647 (Proceedings of the American Control Conference).
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Kim, HJ, Park, JB & Joo, YH 2013, Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching. in 2013 American Control Conference, ACC 2013., 6580721, Proceedings of the American Control Conference, pp. 5643-5647, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 13/6/17.

Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching. / Kim, Ho Jun; Park, Jin Bae; Joo, Young Hoon.

2013 American Control Conference, ACC 2013. 2013. p. 5643-5647 6580721 (Proceedings of the American Control Conference).

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

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Kim HJ, Park JB, Joo YH. Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching. In 2013 American Control Conference, ACC 2013. 2013. p. 5643-5647. 6580721. (Proceedings of the American Control Conference).