DocumentCode
1370137
Title
EKF-Like Observer With Stability for a Class of Nonlinear Systems
Author
Torres, L. ; Besancon, Gildas ; Georges, Didier
Author_Institution
Control Syst. Dept., Grenoble Univ., St. Martin d´Hères, France
Volume
57
Issue
6
fYear
2012
fDate
6/1/2012 12:00:00 AM
Firstpage
1570
Lastpage
1574
Abstract
An Extended-Kalman-Filter (EKF)-like observer is derived from a former observer result for a class of nonlinear systems, which can be written as a linear part in the unmeasured states on the one hand, and some additive nonlinearity with a triangular Jacobian on the other hand. It is shown how the previously presented excitation condition for exponential stability of the observer, extends to this EKF version. The observer is illustrated in simulation with two challenging examples, the first one in leak detection, and the second one in chaos synchronization.
Keywords
Kalman filters; asymptotic stability; nonlinear filters; nonlinear systems; observers; EKF-like observer; chaos synchronization; excitation condition; exponential stability; extended-Kalman-filter; leak detection; nonlinear systems; triangular Jacobian; Chaos; Gain; Observability; Observers; Pipelines; Synchronization; Extended Kalman filter (EKF); high gain; locally regular inputs; nonlinear observer; stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2011.2175069
Filename
6070956
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