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Moving horizon state estimation for linear discrete-time singular systems
Author(s) -
Boulaïd Boulkroune,
M. Darouach,
Michel Zasadziński
Publication year - 2010
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2008.0280
Subject(s) - kalman filter , estimator , moving horizon estimation , state (computer science) , mathematics , estimation , gaussian , control theory (sociology) , linear system , discrete time and continuous time , horizon , extended kalman filter , computer science , mathematical optimization , algorithm , statistics , engineering , artificial intelligence , mathematical analysis , control (management) , physics , geometry , quantum mechanics , systems engineering
International audienceIn this study, the moving horizon recursive state estimator for linear singular systems is derived from the least squares estimation problem. It will be shown that this procedure yields the same state estimate as the Kalman filter for descriptor systems when the noises are Gaussian. The obtained results are applied to the state and the unknown inputs estimation for discrete-time systems with unknown inputs. A numerical example is presented to illustrate the proposed method

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