2012
DOI: 10.1109/tac.2011.2173417
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Circumnavigation Using Distance Measurements Under Slow Drift

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Cited by 200 publications
(150 citation statements)
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“…Both robots are assumed to have access to only the current distance ρ 12 (t) and calculate its derivativeρ 12 (t) by using a memory unit. The bearing information, i.e., α 12 and α 21 , is not available. In the following, we propose two control schemes based on ρ 12 (t) andρ 12 (t), which drive two robots to rendezvous, i.e., ρ 12 (t) → 0 as t → +∞.…”
Section: Range-only Controllersmentioning
confidence: 99%
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“…Both robots are assumed to have access to only the current distance ρ 12 (t) and calculate its derivativeρ 12 (t) by using a memory unit. The bearing information, i.e., α 12 and α 21 , is not available. In the following, we propose two control schemes based on ρ 12 (t) andρ 12 (t), which drive two robots to rendezvous, i.e., ρ 12 (t) → 0 as t → +∞.…”
Section: Range-only Controllersmentioning
confidence: 99%
“…Generally speaking, the control design and analysis become more challenging when each robot can only measure distances to other robots without bearing information. This approach has a lot of applications, such as localization and mapping [8,9], formation control [10,11], and target enclosing [12,13]. If a robot has knowledge of its location in a coordinate frame, then under some persistent excitation condition, the robot may be able to get an estimation of the positions of other robots.…”
Section: Introductionmentioning
confidence: 99%
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“…The circular formation is a design method for steering the agents to orbit around a target along a common circle, which provides a simple geometric shape to collect data with a desired spatial and temporal distribution. In the community of systems and control, research efforts have been devoted to the circle formation problem for multiagent systems modeled as single or double integrators [14][15][16][17][18] and unicycles [19][20][21][22][23][24][25][26] under different communication topologies. Circular motion has been studied in the scenario of cyclic pursuit with ring topology [14][15][16][17][18][19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Different from the vertical take-off and landing (VTOL) UAV (e.g., quadrotor), the fixed-wing UAV is constrained by the lower bound according to the stall condition. When the target's speed is lower than the minimum speed of the UAV, the circumnavigation is executed to circle around the target within monitoring range [8]. However, when the speed of the target is close to the UAV, the aircraft should be guided to follow the target by the following pattern.…”
Section: Introductionmentioning
confidence: 99%