Reduced-order delay-dependent H∞ filtering for uncertain discrete-time singular systems with time-varying delay

Automatica ◽  
2011 ◽  
Vol 47 (12) ◽  
pp. 2801-2804 ◽  
Author(s):  
Jong Hae Kim
Keyword(s):  
Discrete Time ◽  
Singular Systems ◽  
Time Varying ◽  
Reduced Order ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Time-varying Delay⋆

2008 ◽  
Vol 41 (2) ◽  
pp. 5874-5879 ◽  
Author(s):  
Huijiao WANG ◽  
Anke XUE ◽  
Renquan LU ◽  
Xiaodong ZHAO ◽  
Xiaohui ZHOU
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay

RobustH∞guaranteed cost control for discrete-time switched singular systems with time-varying delay

2018 ◽  
Vol 40 (1) ◽  
pp. 119-140 ◽  
Author(s):  
Mohamed Amin Regaieg ◽  
Mourad Kchaou ◽  
Ahmed El Hajjaji ◽  
Mohamed Chaabane
Keyword(s):  
Discrete Time ◽  
Cost Control ◽  
Singular Systems ◽  
Guaranteed Cost Control ◽  
Time Varying ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
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.

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