Numerical robustness of extended Kalman filtering based state estimation in ill‐conditioned continuous‐discrete nonlinear stochastic chemical systems

2018 ◽  
Vol 29 (5) ◽  
pp. 1377-1395 ◽  
Author(s):  
G. Yu. Kulikov ◽  
M. V. Kulikova
Author(s):  
Yassine Zahraoui ◽  
Mohamed Akherraz

This chapter presents a full definition and explanation of Kalman filtering theory, precisely the filter stochastic algorithm. After the definition, a concrete example of application is explained. The simulated example concerns an extended Kalman filter applied to machine state and speed estimation. A full observation of an induction motor state variables and mechanical speed will be presented and discussed in details. A comparison between extended Kalman filtering and adaptive Luenberger state observation will be highlighted and discussed in detail with many figures. In conclusion, the chapter is ended by listing the Kalman filtering main advantages and recent advances in the scientific literature.


2018 ◽  
Vol 12 (3) ◽  
pp. 384-394 ◽  
Author(s):  
Hanieh Mohammadi ◽  
Hong Yao ◽  
Gholamreza Khademi ◽  
Thang T. Nguyen ◽  
Dan Simon ◽  
...  

2017 ◽  
Vol 212 ◽  
pp. 136-145 ◽  
Author(s):  
Vahid Azimi ◽  
Daniel Munther ◽  
Seyed Abolfazl Fakoorian ◽  
Thang Tien Nguyen ◽  
Dan Simon

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