2018 European Control Conference (ECC) 2018
DOI: 10.23919/ecc.2018.8550178
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Coordination of Multiple Vessels Via Distributed Nonlinear Model Predictive Control

Abstract: This work presents a method for multi-robot trajectory planning and coordination based on nonlinear model predictive control (NMPC). In contrast to centralized approaches, we consider the distributed case where each robot has an on-board computation unit to solve a local NMPC problem and can communicate with other robots in its neighborhood. We show that, thanks to tailored interactions (i.e., interactions designed according to a nonconvex alternating direction method of multipliers, or ADMM, scheme), the prop… Show more

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Cited by 28 publications
(24 citation statements)
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“…Other works employ the consensus ADMM variant without a central node [111] with other notable applications in target tracking [3], signal estimation [16], task assignment [112], motion planning [5], online learning [113], and parameter estimation in global navigation satellite systems [114]. Further applications of C-ADMM arise in trajectory tracking problems involving teams of robots using non-linear model predictive control [115] and in cooperative localization [116]. Applications of SOVA include collaborative manipulation [117].…”
Section: Applications Of C-admmmentioning
confidence: 99%
“…Other works employ the consensus ADMM variant without a central node [111] with other notable applications in target tracking [3], signal estimation [16], task assignment [112], motion planning [5], online learning [113], and parameter estimation in global navigation satellite systems [114]. Further applications of C-ADMM arise in trajectory tracking problems involving teams of robots using non-linear model predictive control [115] and in cooperative localization [116]. Applications of SOVA include collaborative manipulation [117].…”
Section: Applications Of C-admmmentioning
confidence: 99%
“…Any violation of the ship domain is considered to be a threat to navigational safety and a potential source of collision accidents. The ship domain can be defined using three shapes, namely, circles [14], ellipses [15] and polygons [16], and is primarily determined by expert experience. In most cases, the shape and size remain unchanged during a voyage regardless of the actual traffic and encounter situation.…”
Section: Related Workmentioning
confidence: 99%
“…[11] uses invariant-set theory and mix-integer linear programming (MILP). [12] and [13] rely on the alternating direction method of multipliers (ADMM). However, they are not computationally efficient with a large number of vehicles for real time applications, since the optimization problem is usually nonlinear and non-convex.…”
Section: Introductionmentioning
confidence: 99%