2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) 2004
DOI: 10.1109/cdc.2004.1429634
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Boundary following using gyroscopic control

Abstract: Abstract-Recent work in the study of interacting particles has demonstrated the effectiveness of gyroscopic interactions in producing desired stable spatial patterns (formations) of motion of a collective of particles. In this paper, we discuss the problem of how a single particle might interact with a fixed structure in space by exploiting gyroscopic feedback laws. We derive a gyroscopic feedback law modeling the interaction of a particle in the plane with an image particle representing the closest point on a… Show more

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Cited by 61 publications
(68 citation statements)
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“…[15] and an earlier version [16]. The insight also enabled the work in [17] and [18] to design (time varying) steering control for obstacle avoidance and boundary following for a single constant speed particle.…”
Section: Introductionmentioning
confidence: 99%
“…[15] and an earlier version [16]. The insight also enabled the work in [17] and [18] to design (time varying) steering control for obstacle avoidance and boundary following for a single constant speed particle.…”
Section: Introductionmentioning
confidence: 99%
“…Here, r 0 represents the desired separation between the moving vehicle and the boundary curve for boundary-following. This form of Lyapunov function has been used in recent papers regarding boundary following and curve tracking using the closest point information in [2], and [6].…”
Section: ) Limmentioning
confidence: 99%
“…curving towards the vehicle, the curvature κ > 0. The above settings for the interaction between the vehicle and the boundary curve were introduced in [2]. The key idea of curve tracking control is to control the relative motion between the vehicle and the detected point.…”
Section: Boundary-following Model With Rigidly Mounted Range Sensorsmentioning
confidence: 99%
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“…These ideas were extended further by Zhang and Leonard [65,66] to design provable control laws for cooperative level set tracking, whereby small vehicle groups could cooperate to generate contour plots of noisy, unknown fields, adjusting their formation shape to provide optimal filtering of their noisy measurements. Related work addressed environmental boundary tracking [67,68], coverage control [69,70], target tracking [71,72], and maximization of information [50].…”
Section: Background and Historymentioning
confidence: 99%