Title :
Novel delay-dependent stability criteria for T-S fuzzy time-delay systems
Author :
Dawei Wang ; Zejian Zhang
Author_Institution :
Dept. of Math., Beihua Univ., Jilin, China
Abstract :
This paper is concerned with the stability problem of the T-S fuzzy systems with constant time-delay. A new delay-dependent stability condition is proposed in terms of linear matrix inequality by constructing a new Lyapunov function, in which contains a triple-integral term, and using some integral inequalities. Numerical example is presented to illustrate our method is effective and lead to less conservative results.
Keywords :
Lyapunov methods; delays; fuzzy control; linear matrix inequalities; stability criteria; Lyapunov function; T-S fuzzy time-delay systems; Takagi-Sugeno systems; constant time-delay; delay-dependent stability criteria; integral inequality; linear matrix inequality; triple-integral term; Delay; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Numerical stability; Stability criteria; T-S fuzzy system; delay dependent stability; linear matrix inequality (LMI); time-delay;
Conference_Titel :
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-719-1
DOI :
10.1109/MEC.2011.6025431