2013
DOI: 10.1007/978-3-642-32723-0_15
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Optimal Reciprocal Collision Avoidance for Multiple Non-Holonomic Robots

Abstract: In this paper an optimal method for distributed collision avoidance among multiple non-holonomic robots is presented in theory and experiments. Non-holonomic optimal reciprocal collision avoidance (NH-ORCA) builds on the concepts introduced in [2], but further guarantees smooth and collision-free motions under non-holonomic constraints. Optimal control inputs and constraints in velocity space are formally derived for the non-holonomic robots. The theoretical results are validated in several collision avoidance… Show more

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Cited by 215 publications
(205 citation statements)
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“…In complex and dynamic environments like MMRSs, rule-based and graph-based methods are difficult to deal with. A high-level coordination concept combined with reactive control for robots should be more efficient [169] [170].  How to fuse and analyse the information acquired by each individual robot more rationally (and then make the decision more efficient)?…”
Section: Resultsmentioning
confidence: 99%
“…In complex and dynamic environments like MMRSs, rule-based and graph-based methods are difficult to deal with. A high-level coordination concept combined with reactive control for robots should be more efficient [169] [170].  How to fuse and analyse the information acquired by each individual robot more rationally (and then make the decision more efficient)?…”
Section: Resultsmentioning
confidence: 99%
“…We build on the aforementioned example of CVT-based Voronoi coverage and combine it with reciprocal collision avoidance in velocity space, using the RVO and ORCA 3 methods [9][10][11][12].…”
Section: Combining Voronoi Coverage and Rvomentioning
confidence: 99%
“…2 illustrates the set ORCA τ i in a multi-robot scenario for different types of S AHV i , including S AHV i = D(0 , v max H i ) for holonomic robots with an upper bound on the velocity of v max H i , as well as the S AHV i for differential-drive and bicycle (respectively car-like) robots, whose detailed derivations can be found in [11] and [12]. The extension of the ORCA method to robots with non-holonomic kinematics is based on the idea that a robot i with given kinematic constraints can be enabled by a trajectory tracking controller to track a set of allowed holonomic velocities S AHV i within a certain maximum error bound.…”
Section: Reciprocal Collision Avoidance Using Rvo and Orcamentioning
confidence: 99%
“…Recent work on robot collision avoidance has provided methods that are guaranteed to be collision-free and oscillation-free [5,14,25], even under nonholonomic constraints [2]. These methods rely on the concept of Velocity Obstacles [10], which is an extension of the Configuration Space Obstacle [19] for a time-varying system.…”
Section: Related Workmentioning
confidence: 99%