Robust fault estimation for Takagi‐Sugeno fuzzy systems with state time‐varying delay

2019 ◽  
Vol 34 (2) ◽  
pp. 141-150 ◽  
Author(s):  
Fuqiang You ◽  
Shiya Cheng ◽  
Xinyan Zhang ◽  
Nan Chen
Keyword(s):  
Fuzzy Systems ◽  
Fault Estimation ◽  
Time Varying ◽  
State Time ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Varying Delay

scholarly journals Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

2016 ◽  
Vol 14 (1) ◽  
pp. 986-1006 ◽  
Author(s):  
Chao Sun ◽  
Fuli Wang ◽  
Xiqin He
Keyword(s):  
Output Feedback ◽  
Fuzzy Systems ◽  
Fault Tolerant ◽  
Fault Estimation ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Takagi Sugeno ◽  
Delay Partitioning ◽  
Varying Delay

AbstractThis paper addresses the problem of robust fault-tolerant control design scheme for a class of Takagi-Sugeno fuzzy systems subject to interval time-varying delay and external disturbances. First, by using improved delay partitioning approach, a novel n-steps iterative learning fault estimation observer under H∞ constraint is constructed to achieve estimation of actuator fault. Then, based on the online estimation information, a fuzzy dynamic output feedback fault-tolerant controller considered interval time delay is designed to compensate for the impact of actuator faults, while guaranteing that the closed-loop system is asymptotically stable with the prescribed H∞ performance. Moreover, all the obtained less conservative sufficient conditions for the existence of fault estimation observer and fault-tolerant controller are formulated in terms of linear matrix inequalities. Finally, the numerical examples and simulation results are presented to show the effectiveness and merits of the proposed methods.

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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