H∞ fault estimation for linear discrete time-varying systems with random uncertainties

2021 ◽  
pp. 89-127
Author(s):  
Yueyang Li
Keyword(s):  
Discrete Time ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Random Uncertainties

Krein Space-based Hθ Fault Estimation for Linear Discrete Time-varying Systems

2009 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space

Parity Space-Based Fault Estimation for Linear Discrete Time-Varying Systems

2010 ◽  
Vol 55 (7) ◽  
pp. 1726-1731 ◽  
Author(s):  
Maiying Zhong ◽  
Steven X Ding ◽  
Qing-Long Han ◽  
Qiang Ding
Keyword(s):  
Discrete Time ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Parity Space

Fault estimation of linear discrete time-varying systems with multiplicative noise based on finite impulse response filter

2019 ◽  
Vol 42 (3) ◽  
pp. 461-471 ◽  
Author(s):  
Yutao Wu ◽  
Shuai Liu ◽  
Yueyang Li ◽  
Zhonghua Wang
Keyword(s):  
Impulse Response ◽  
Discrete Time ◽  
Performance Index ◽  
Multiplicative Noise ◽  
Finite Impulse Response ◽  
Estimation Error ◽  
Estimation Accuracy ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems

This paper aims to construct a finite impulse response (FIR) based fault estimator for a class of linear discrete time-varying systems (LDTV) with multiplicative noise. Drawing support of intensive stochastic analyses and matrix manipulations, a novel performance index is proposed such that the fault estimation error is minimized in stochastic sense. A necessary and sufficient condition is established to guarantee the existence of the FIR-based fault estimator with satisfied estimation accuracy. The optimal gain of the desired fault estimator is calculated in an analytical way by minimizing the aforementioned performance index. Several examples are presented to demonstrate the effectiveness and superiority of the proposed methods.

Krein Space-based H∞ Fault Estimation for Linear Discrete Time-varying Systems

2008 ◽  
Vol 34 (12) ◽  
pp. 1529-1533 ◽  
Author(s):  
Mai-Ying ZHONG ◽  
Shuai LIU ◽  
Hui-Hong ZHAO
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Fault Estimation ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space
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