Delay-dependent LMI conditions for stability and stabilization of T–S fuzzy systems with bounded time-delay

2006 ◽  
Vol 157 (9) ◽  
pp. 1229-1247 ◽  
Author(s):  
Chong Lin ◽  
Qing-Guo Wang ◽  
Tong Heng Lee
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Stability And Stabilization ◽  
Delay Dependent

Delay-Dependent Robust Stability Analysis for Time-Delay T–S Fuzzy Systems with Nonlinear Local Models

2013 ◽  
Vol 24 (1-2) ◽  
pp. 11-21 ◽  
Author(s):  
Luis Felipe da Cruz Figueredo ◽  
João Yoshiyuki Ishihara ◽  
Geovany Araújo Borges ◽  
Adolfo Bauchspiess
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Robust Stability ◽  
Fuzzy Systems ◽  
Local Models ◽  
Robust Stability Analysis ◽  
Delay Dependent

scholarly journals Improved Delay-Dependent Stability and Stabilization Conditions of T-S Fuzzy Time-Delay Systems via an Augmented Lyapunov-Krasovskii Functional Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Zifan Gao ◽  
Jiaxiu Yang ◽  
Shuqian Zhu
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Linear Matrix ◽  
Stability Conditions ◽  
State Variables ◽  
Time Varying Delay ◽  
Improved Stability ◽  
Stability And Stabilization ◽  
The Stability ◽  
Delay Dependent

This paper develops some improved stability and stabilization conditions of T-S fuzzy system with constant time-delay and interval time-varying delay with its derivative bounds available, respectively. These conditions are presented by linear matrix inequalities (LMIs) and derived by applying an augmented Lyapunov-Krasovskii functional (LKF) approach combined with a canonical Bessel-Legendre (B-L) inequality. Different from the existing LKFs, the proposed LKF involves more state variables in an augmented way resorting to the form of the B-L inequality. The B-L inequality is also applied in ensuring the positiveness of the constructed LKF and the negativeness of derivative of the LKF. By numerical examples, it is verified that the obtained stability conditions can ensure a larger upper bound of time-delay, the larger number of Legendre polynomials in the stability conditions can lead to less conservative results, and the stabilization condition is effective, respectively.

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