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Nonlinear bayesian state filtering with missing measurements and bounded noise and its application to vehicle position estimation
- 1.0360239 - ÚTIA 2012 RIV CZ eng J - Článek v odborném periodiku
Pavelková, Lenka
Nonlinear bayesian state filtering with missing measurements and bounded noise and its application to vehicle position estimation.
Kybernetika. Roč. 47, č. 3 (2011), s. 370-384. ISSN 0023-5954
Grant CEP: GA MŠMT 1M0572
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: non-linear state space model * bounded uncertainty * missing measurements * state filtering * vehicle position estimation
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 0.454, rok: 2011
http://library.utia.cas.cz/separaty/2011/AS/pavelkova-0360239.pdf
The paper deals with parameter and state estimation and focuses on two problems that frequently occur in many practical applications: (i) bounded uncertainty and (ii) missing measurement data. An algorithm for the state estimation of the discrete-time non-linear state space model whose uncertainties are bounded is proposed. The algorithm also copes with situations when some measurements are missing. It uses Bayesian approach and evaluates maximum a posteriori probability (MAP) estimates of states and parameters. As the model uncertainties are supposed to have a bounded support, the searched estimates lie within an area that is described by the system of inequalities. In consequence, the problem of MAP estimation becomes the problem of nonlinear mathematical programming (NLP). The estimation with missing data reduces to the omission of corresponding inequalities in NLP formulation.
Trvalý link: http://hdl.handle.net/11104/0197835
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