Stability criteria for T–S fuzzy systems with interval time-varying delays and nonlinear perturbations based on geometric progression delay partitioning method

2016 ◽  
Vol 63 ◽  
pp. 69-77 ◽  
Author(s):  
Hao Chen ◽  
Shouming Zhong ◽  
Min Li ◽  
Xingwen Liu ◽  
Fehrs Adu-Gyamfi
Keyword(s):  
Fuzzy Systems ◽  
Geometric Progression ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Interval Time ◽  
Delay Partitioning

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.

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