H∞ Kalman filtering for rectangular descriptor systems with unknown inputs

2011 ◽  
Author(s):  
Chien-Shu Hsieh
Keyword(s):  
Kalman Filtering ◽  
Descriptor Systems ◽  
Unknown Inputs

scholarly journals Globally Optimal Distributed Kalman Filtering for Multisensor Systems with Unknown Inputs

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 2976 ◽  
Author(s):  
Yali Ruan ◽  
Yingting Luo ◽  
Yunmin Zhu
Keyword(s):  
State Estimation ◽  
Kalman Filtering ◽  
Optimal Algorithm ◽  
The State ◽  
Unknown Input ◽  
Initial Value ◽  
State Estimate ◽  
Multisensor Systems ◽  
Unknown Inputs ◽  
Augmented State

In this paper, the state estimation for dynamic system with unknown inputs modeled as an autoregressive AR (1) process is considered. We propose an optimal algorithm in mean square error sense by using difference method to eliminate the unknown inputs. Moreover, we consider the state estimation for multisensor dynamic systems with unknown inputs. It is proved that the distributed fused state estimate is equivalent to the centralized Kalman filtering using all sensor measurement; therefore, it achieves the best performance. The computation complexity of the traditional augmented state algorithm increases with the augmented state dimension. While, the new algorithm shows good performance with much less computations compared to that of the traditional augmented state algorithms. Moreover, numerical examples show that the performances of the traditional algorithms greatly depend on the initial value of the unknown inputs, if the estimation of initial value of the unknown input is largely biased, the performances of the traditional algorithms become quite worse. However, the new algorithm still works well because it is independent of the initial value of the unknown input.

scholarly journals An Observer for Linear Descriptor Systems with Unknown Inputs

1991 ◽  
Vol 27 (2) ◽  
pp. 236-238 ◽  
Author(s):  
Nobuaki KOBAYASHI ◽  
Shigehiko IGUCHI ◽  
Kazuo KANZAKI
Keyword(s):  
Descriptor Systems ◽  
Unknown Inputs

Reduced-Order Observer Design for Switched Descriptor Systems With Unknown Inputs

2020 ◽  
Vol 65 (1) ◽  
pp. 287-294 ◽  
Author(s):  
Jiancheng Zhang ◽  
Xudong Zhao ◽  
Fanglai Zhu ◽  
Hamid Reza Karimi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Reduced Order Observer

Fuzzy observer design for a class of Takagi-Sugeno descriptor systems subject to unknown inputs

2017 ◽  
Vol 5 ◽  
pp. 117-134
Author(s):  
Karim Bouassem ◽  
Jalal Soulami ◽  
Abdellatif El Assoudi ◽  
El Hassane El Yaagoubi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Unknown Inputs ◽  
Takagi Sugeno

Design of observers for descriptor systems affected by unknown inputs

1996 ◽  
Vol 27 (5) ◽  
pp. 465-471 ◽  
Author(s):  
BESMA GADDOUNA ◽  
STÉPHANE GIULIANI ◽  
JOSÉ RAGOT
Keyword(s):  
Descriptor Systems ◽  
Unknown Inputs

Square-root Kalman filtering of descriptor systems

1992 ◽  
Vol 19 (4) ◽  
pp. 325-334 ◽  
Author(s):  
L. Chisci ◽  
G. Zappa
Keyword(s):  
Kalman Filtering ◽  
Descriptor Systems ◽  
Square Root
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