CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Convex Optimization
Cooperative target tracking using mobile robots
Cooperative target tracking using mobile robots
Target tracking with distributed sensors: the focus of attention problem
Computer Vision and Image Understanding - Special issue: Attention and performance in computer vision
A consensus problem for a class of vehicles with 2-D dynamics
Multidimensional Systems and Signal Processing
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In this paper, we present a discrete-time optimization framework for target tracking with multi-agent systems. The "target tracking" problem is formulated as a generic semidefinite program (SDP) that when paired with an appropriate objective yields an optimal robot configuration over a given time step. The framework affords impressive performance guarantees to include full target coverage (i.e. each target is tracked by at least a single team member) as well as maintenance of network connectivity across the formation. Key to this work is the result from spectral graph theory that states the second-smallest eigenvalue--驴 2--of a weighted graph's Laplacian (i.e. its inter-connectivity matrix) is a measure of connectivity for the associated graph. Our approach allows us to articulate agent-target coverage and inter-agent communication constraints as linear-matrix inequalities (LMIs). Additionally, we present two key extensions to the framework by considering alternate tracking problem formulations. The first allows us to guarantee k-coverage of targets, where each target is tracked by k or more agents. In the second, we consider a relaxed formulation for the case when network connectivity constraints are superfluous. The problem is modeled as a second-order cone program (SOCP) that can be solved significantly more efficiently than its SDP counterpart--making it suitable for large-scale teams (e.g. 100's of nodes in real-time). Methods for enforcing inter-agent proximity constraints for collision avoidance are also presented as well as simulation results for multi-agent systems tracking mobile targets in both 驴2 and 驴3.