Admissibility analysis of Takagi-Sugeno fuzzy descriptor systems with time-varying delay via nonorthogonal free-matrix-based inequality

2021 ◽  
Author(s):  
Yufeng Tian ◽  
Zhanshan Wang
Keyword(s):  
Descriptor Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay

scholarly journals Robust Fault Estimation for a Class of T-S Fuzzy Singular Systems with Time-Varying Delay via Improved Delay Partitioning Approach

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Chao Sun ◽  
FuLi Wang ◽  
XiQin He
Keyword(s):  
Singular Systems ◽  
Singular System ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
System A ◽  
Delay Dependent ◽  
Takagi Sugeno ◽  
Varying Delay

The problem of delay-dependent robust fault estimation for a class of Takagi-Sugeno (T-S) fuzzy singular systems is investigated. By decomposing the delay interval into two unequal subintervals and with a new and tighter integral inequality transformation, an improved delay-dependent stability criterion is given in terms of linear matrix inequalities (LMIs) to guarantee that the fuzzy singular system with time-varying delay is regular, impulse-free, and stable firstly. Then, based on this criterion, by considering the system fault as an auxiliary disturbance vector and constructing an appropriate fuzzy augmented system, a fault estimation observer is designed to ensure that the error dynamic system is regular, impulse-free, and robustly stable with a prescribedH∞performance satisfied for all actuator and sensor faults simultaneously, and the obtained fault estimates can practically better depict the size and shape of the faults. Finally, numerical examples are given to show the effectiveness of the proposed approach.

Fault-tolerant SMC for Takagi–Sugeno fuzzy systems with time-varying delay and actuator saturation

2017 ◽  
Vol 11 (8) ◽  
pp. 1112-1123 ◽  
Author(s):  
Palanisamy Selvaraj ◽  
Boomipalagan Kaviarasan ◽  
Rathinasamy Sakthivel ◽  
Hamid Reza Karimi
Keyword(s):  
Fuzzy Systems ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Time Varying ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay
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