2020
DOI: 10.1109/tsp.2020.3029399
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3-D Distributed Localization With Mixed Local Relative Measurements

Abstract: This paper studies 3-D distributed network localization using mixed types of local relative measurements. Each node holds a local coordinate frame without a common orientation and can only measure one type of information (relative position, distance, relative bearing, angle, or ratio-of-distance measurements) about its neighboring nodes in its local coordinate frame. A novel rigidity-theory-based distributed localization is developed to overcome the challenge due to the absence of a global coordinate frame. Th… Show more

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Cited by 19 publications
(13 citation statements)
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“…Figure 9a-c depict the simulation results of periodic switching, while Figure 9d-f show the results of random switching. Among them, (a), (d), and (c), (f) represent the corresponding error estimation curves under the methods in paper [30] and paper [31], respectively. (b) and (e) depict the error curves corresponding to the method proposed in this article.…”
Section: Results Of Rl Fusion Estimation Simulationsmentioning
confidence: 99%
“…Figure 9a-c depict the simulation results of periodic switching, while Figure 9d-f show the results of random switching. Among them, (a), (d), and (c), (f) represent the corresponding error estimation curves under the methods in paper [30] and paper [31], respectively. (b) and (e) depict the error curves corresponding to the method proposed in this article.…”
Section: Results Of Rl Fusion Estimation Simulationsmentioning
confidence: 99%
“…The displacement parameters h ij0 , • • • , h ij d in (8) describe the time-varying geometric relationship among the real-time positions of agent i and its d+1 neighbors j 0 , • • • , j d , which can be calculated by relative positions, bearings, distances, angles, ratio-of-distances, or their combination among agent i and its d+1 neighbors j 0 , • • • , j d (the details can be found in Appendix and [24]). From (8), it has…”
Section: Displacement Constraint and Design Of Target Formation A Dis...mentioning
confidence: 99%
“…where h ii (t) = j∈Ni h ij (t), and the displacement parameters h ij (t), j ∈ N i can be calculated by the relative positions, bearings, distances, angles, ratio-of-distances, or their combination among agent i and its d + 1 neighbors j 0 , • • • , j d ∈ N i (the details can be found in Appendix and [24]). Under Assumption 1, we can conclude from (3) and Lemma 1 that h ii (t) ̸ = 0 if its d+1 neighbors j 0 , • • • , j d ∈ N i reach their target positions, and then (36) can be rewritten as…”
Section: Maneuvering Mode and Maintaining Modementioning
confidence: 99%
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“…In each round, four vectors are obtained by synchronization, so it converges within 4Hn rounds when A is non-singular. In actual applications, there may exist measurement noise so that A and b are influenced and the constructed linear system may be unsolvable [9]. Let A and b denote the noisy matrices as:…”
Section: Analysis Of Dcgmentioning
confidence: 99%