Abstract
In this paper, we address the mobile robot localisation problem by combining relative measurements with intermittent measurements collected from range sensors (e.g., Ultra-Wide Band transmitters) with measurements on the relative motion of the robot. We present some basic results on the possibility of reconstructing the state using a very small number of measurements from two different anchors by setting up a system of linear equations. Next, we study how the observability of a trajectory can be quantified by the condition number of the system matrix, and hence related to the manoeuvres executed by the robot and to sampling time used to collect the measurements. As discussed in this paper, this result can be used as a basis to define control strategies aimed to maximise observability.
| Original language | English |
|---|---|
| Title of host publication | 2022 International Symposium on Measurement and Control in Robotics (ISMCR) |
| Editors | Zafar Taqvi, Simone Keller Fuchter, Geraldo Gurgel Filho |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 1-6 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781665454964 |
| ISBN (Print) | 9781665454971 |
| DOIs | |
| Publication status | Published - 24 Nov 2022 |
| Event | 25th International Symposium on Measurement and Control in Robotics - Virtual, Online, United States Duration: 28 Sept 2022 → 30 Sept 2022 |
Symposium
| Symposium | 25th International Symposium on Measurement and Control in Robotics |
|---|---|
| Abbreviated title | ISMCR 2022 |
| Country/Territory | United States |
| City | Virtual, Online |
| Period | 28/09/22 → 30/09/22 |
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