TY - GEN
T1 - Delay-range dependent stability analysis for T-S fuzzy systems with time-varying delay
AU - Song, Min Kook
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:77957792320
SN - 9781424474264
T3 - Proceedings of the 2010 American Control Conference, ACC 2010
SP - 5806
EP - 5811
BT - Proceedings of the 2010 American Control Conference, ACC 2010
T2 - 2010 American Control Conference, ACC 2010
Y2 - 30 June 2010 through 2 July 2010
ER -