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

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

scholarly journals A Krein space-based approach to event-triggered H∞ filtering for linear discrete time-varying systems

Automatica ◽  
2022 ◽  
Vol 135 ◽  
pp. 110001
Author(s):  
Maiying Zhong ◽  
Steven X. Ding ◽  
Qing-Long Han ◽  
Xiao He ◽  
Donghua Zhou
Keyword(s):  
Discrete Time ◽  
Krein Space ◽  
Time Varying ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Event Triggered

scholarly journals Finite-TimeH∞Filtering for Linear Continuous Time-Varying Systems with Uncertain Observations

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Huihong Zhao ◽  
Chenghui Zhang
Keyword(s):  
Quadratic Form ◽  
Continuous Time ◽  
Finite Time ◽  
Krein Space ◽  
State Space Model ◽  
Time Varying ◽  
Bounded Noise ◽  
Time Varying Systems ◽  
Kreĭn Space ◽  
Filtering Problem

This paper is concerned with the finite-timeH∞filtering problem for linear continuous time-varying systems with uncertain observations andℒ2-norm bounded noise. The design of finite-timeH∞filter is equivalent to the problem that a certain indefinite quadratic form has a minimum and the filter is such that the minimum is positive. The quadratic form is related to a Krein state-space model according to the Krein space linear estimation theory. By using the projection theory in Krein space, the finite-timeH∞filtering problem is solved. A numerical example is given to illustrate the performance of theH∞filter.

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
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