Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay

Min Kook Song, Jin Bae Park, Young Hoon Joo

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

3 Citations (Scopus)

Abstract

This paper is concerned with the stability analysis of Takagi-Sugeno (T-S) fuzzy systems with time varying delays by using novel quadratic Lyapunov-Krasovskii functionals. The novel Lyapunov-Krasovskii functionals comes from some existing ones employed in the previous results and add another part which is constructed by dividing the delay range into several segments and choosing proper functionals with free weighted matrices corresponding to different segments. Then using these delay partitioning idea, some new delay-range-dependent stability criteria are derived for T-S fuzzy systems. All the sufficient conditions are established in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using the LMI algorithm. It is shown that these criteria for T-S fuzzy systems with time varying delays are always less conservative than the previous results. Two numerical examples are given to illustrate the less conservatism of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference, ACC 2010
Pages5806-5811
Number of pages6
Publication statusPublished - 2010 Oct 15
Event2010 American Control Conference, ACC 2010 - Baltimore, MD, United States
Duration: 2010 Jun 302010 Jul 2

Other

Other2010 American Control Conference, ACC 2010
CountryUnited States
CityBaltimore, MD
Period10/6/3010/7/2

Fingerprint

Fuzzy systems
Linear matrix inequalities
Stability criteria

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Song, M. K., Park, J. B., & Joo, Y. H. (2010). Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay. In Proceedings of the 2010 American Control Conference, ACC 2010 (pp. 5806-5811). [5530486]
Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon. / Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay. Proceedings of the 2010 American Control Conference, ACC 2010. 2010. pp. 5806-5811
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Song, MK, Park, JB & Joo, YH 2010, Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay. in Proceedings of the 2010 American Control Conference, ACC 2010., 5530486, pp. 5806-5811, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 10/6/30.

Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay. / Song, Min Kook; Park, Jin Bae; Joo, Young Hoon.

Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 5806-5811 5530486.

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

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Song MK, Park JB, Joo YH. Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay. In Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 5806-5811. 5530486