2008
DOI: 10.1016/j.automatica.2007.07.024
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Box particle filtering for nonlinear state estimation using interval analysis

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Cited by 127 publications
(109 citation statements)
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“…Several contractors exist, each works in a different manner and is efficient only for specific CSPs and for certain cases [13,14,15]. "Intervalization with Gauss elimination" [4] is an important class of CSPs for which intervalization of finite subsolvers can be employed only if the system is formed of linear interval equations and if all elements on the diagonal of the matrix are different than zero.…”
Section: Types Of Contractorsmentioning
confidence: 99%
“…Several contractors exist, each works in a different manner and is efficient only for specific CSPs and for certain cases [13,14,15]. "Intervalization with Gauss elimination" [4] is an important class of CSPs for which intervalization of finite subsolvers can be employed only if the system is formed of linear interval equations and if all elements on the diagonal of the matrix are different than zero.…”
Section: Types Of Contractorsmentioning
confidence: 99%
“…Various methods have been put forward to robustify the particle filtering algorithm for systems with unknown statistics. The box particle filtering, which combines sequential Monte Carlo method with interval analysis, has been introduced in [41][42][43]. Unlike the standard particle filtering method where particles are points in the state space and likelihood functions are defined by a statistical model, the box particle filter uses multidimensional intervals in the state space as particles and a bounded error model to evaluate the likelihood functions.…”
Section: Robust Particle Filtermentioning
confidence: 99%
“…The entire area is been divided into many row and columns. This defines a particular box for a respective row and column [15]. So this two dimensional box is used as a field area in which the estimation of the current position of the Target is been confined to particular boxes.…”
Section: Fig 1 Sensing Range Of Sensormentioning
confidence: 99%