Proceedings of the 2010 American Control Conference 2010
DOI: 10.1109/acc.2010.5531613
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Single beacon navigation: Observability analysis and filter design

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Cited by 37 publications
(32 citation statements)
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“…State of the art methods include, for instance, Long Base Line (LBL) systems [3], where an on-board transceiver is used to interrogate a fixed number of transponders which are located at a priori known positions. The calibration cost may be reduced if single beacon/transponder methods are used instead [4]. At the cost of decreasing the accuracy, the calibration step may be even avoided if an inverted LBL [5] or Ultra Short Base Line (USBL) [6] is used.…”
Section: Introductionmentioning
confidence: 99%
“…State of the art methods include, for instance, Long Base Line (LBL) systems [3], where an on-board transceiver is used to interrogate a fixed number of transponders which are located at a priori known positions. The calibration cost may be reduced if single beacon/transponder methods are used instead [4]. At the cost of decreasing the accuracy, the calibration step may be even avoided if an inverted LBL [5] or Ultra Short Base Line (USBL) [6] is used.…”
Section: Introductionmentioning
confidence: 99%
“…One particular example is proposed in Ref. [93], in which a localization framework is introduced for a rover that is tracked by a single beacon that measures range. Another proposed lander-based system is discussed here [94].…”
Section: Fixed Assets/beacons Localizationmentioning
confidence: 99%
“…Batista et al [93] proposes a localization system in which IMU measurements are combined with range measurements from a single beacon on a lander using a Kalman filter. This system would be appropriate for a rover that does not venture far from its lander.…”
Section: Example Systemsmentioning
confidence: 99%
“…Let d ⊥ be a unit vector orthogonal to the plane defined by the three landmarks. Then, is observable on [ t 0 , t f ], t 0 < t f , in the sense that any initial condition is uniquely determined by the corresponding response { y ( t ), t ∈[ t 0 , t f ]} and system input { u ( t ), t ∈ [ t 0 , t f ]}, if the set of functions 3={tt0, (tt0)2, (tt0)3, (tt0)4, [u[2](t, t0)]d, (tt0)[u[2](t, t0)]d, (tt0)2[u[2](t, t0)]d} is linearly independent on [ t 0 , t f ]. Proof The proof is essentially a combination of the technical contents of the proof for single range measurements, detailed in , and the proof for the LBL configuration. It is presented in .…”
Section: Three and Two Range Measurementsmentioning
confidence: 99%