Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference 2009
DOI: 10.1109/cdc.2009.5400088
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Collision-free tracking control of unicycle mobile robots

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Cited by 19 publications
(20 citation statements)
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“…Theorem 1: Consider two unicycle-type mobile robots, placed at two different locations, whose kinematics are described by (1). Suppose that the reference position of each robot q ri (t), i = 1, 2 is given as in (10) or (11) and is derived from a common virtual center, whereas the reference orientation is derived from the reference velocities and is subject to a nonholonomic constraint.…”
Section: A Stability Resultsmentioning
confidence: 99%
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“…Theorem 1: Consider two unicycle-type mobile robots, placed at two different locations, whose kinematics are described by (1). Suppose that the reference position of each robot q ri (t), i = 1, 2 is given as in (10) or (11) and is derived from a common virtual center, whereas the reference orientation is derived from the reference velocities and is subject to a nonholonomic constraint.…”
Section: A Stability Resultsmentioning
confidence: 99%
“…The proposed schemes do not restrict the controller being used, meaning e.g. that the one with saturation constraints on the control signals in [1] can be readily implemented, although particular stability analyses should still be performed. Experiments between two remote setups successfully implement the strategies presented.…”
Section: Discussionmentioning
confidence: 99%
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“…Such systems do not satisfy Brockett's necessary condition for smooth stabilization [5], so no smooth time-invariant stabilizing control law exists for these systems. A great deal of the research aims at developing suitable time-varying stabilizing and tracking controllers for single nonholonomic systems, see for instance [6][7][8] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…Potential fields are in general based on external sensors, or when the environment is structured and well known, then internal sensors might be used. A potential field is constructed around the obstacle [2], such that the distance to the obstacle determines a repulsive force. Constructing a potential field around an obstacle implies knowing the dimensions of the object and its position on beforehand.…”
Section: Introductionmentioning
confidence: 99%