NONLINEAR BAYESIAN STATE FILTERING WITH MISSING MEASUREMENTS AND BOUNDED NOISE AND ITS APPLICATION TO VEHICLE POSITION ESTIMATION

被引:0
|
作者
Pavelkova, Lenka [1 ]
机构
[1] Acad Sci Czech Republic, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic
关键词
non-linear state space model; bounded uncertainty; missing measurements; state filtering; vehicle position estimation; SYSTEMS; APPROXIMATIONS; DISTURBANCES; UNCERTAINTY;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
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. The proposed estimation algorithm is applied to the estimation of a moving vehicle position when incomplete data from global positioning system (GPS) together with complete data from vehicle sensors are at disposal.
引用
收藏
页码:370 / 384
页数:15
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