Augmented Lyapunov-Krasovskii functional approaches to robust stability criteria for uncertain Takagi-Sugeno fuzzy systems with time-varying delays

作者：Kwon O M; Park M J; Lee S M; Park Ju H^*

来源：Fuzzy Sets and Systems, 2012, 201: 1-19.

DOI：10.1016/j.fss.2011.12.014

• Fuzzy system models
• T-S fuzzy systems
• Time-varying delay
• Stability
• Lyapunov method
• LMI

This paper considers the problem of robust stability analysis for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov-Krasovskii functional and utilizing Finsler%26apos;s Lemma, a novel criterion for delay-dependent robust stability of T-S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further improved stability criterion is proposed by utilizing free weighting techniques. Finally, three numerical examples are included to show the superiority of the proposed criteria.

• 出版日期2012-8-16