2010
DOI: 10.1109/tac.2009.2039240
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Cooperative Filters and Control for Cooperative Exploration

Abstract: Autonomous mobile sensor networks are employed to measure large-scale environmental fields.Yet an optimal strategy for mission design addressing both the cooperative motion control and the cooperative sensing is still an open problem. We develop strategies for multiple sensor platforms to explore a noisy scalar field in the plane. Our method consists of three parts. First, we design provably convergent cooperative Kalman filters that apply to general cooperative exploration missions. Second, a novel method is … Show more

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Cited by 248 publications
(153 citation statements)
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“…For the group measuring a distributed environmental field, the elliptical circulation provides high spatial density of measurements by the group. For example, it can improve their accuracy in estimating the gradient of the measured field or tracking a level set or boundary of a resource patch (Zhang and Leonard 2010). This collective motion also provides redundancy in measurements, particularly useful in the case of a sensor failure.…”
Section: Discussionmentioning
confidence: 99%
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“…For the group measuring a distributed environmental field, the elliptical circulation provides high spatial density of measurements by the group. For example, it can improve their accuracy in estimating the gradient of the measured field or tracking a level set or boundary of a resource patch (Zhang and Leonard 2010). This collective motion also provides redundancy in measurements, particularly useful in the case of a sensor failure.…”
Section: Discussionmentioning
confidence: 99%
“…We show through analysis how the speed oscillations of a group in circular motion yield systematic cycling in spatial ordering. The resulting collective motion patterns also suggest possibilities for enriched spatial density of measurements of an environmental field that can benefit accuracy in collective estimation (Torney et al 2009;Zhang and Leonard 2010).…”
Section: Modeling Collective Dynamics With Coordinated Speed Oscillatmentioning
confidence: 92%
“…Capitalizing on this idea and building on the methods of [55,56],脰gren et al [4] developed a provable methodology to control the shape of the formation as well as the rotation, translation and expansion of the formation (see also [64]); this was used to design control strategies for a network of vehicles to adaptively climb gradients in the sampled field and thus robustly find peaks (see Section 3.1 below for a review of the implementation of this methodology in the field). 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%
“…Other approaches to formation geometry changes for obstacle avoidance include priority-based arbitration between the behaviors [5], formation change using a transition matrix [6], scaling [7], or avoiding obstacles while treating formation as a rigid body [8]. Deformable formations are studied in [9] [10], where exploration of a noisy environmental field drives shape of the multi-sensor formation.…”
Section: Introductionmentioning
confidence: 99%