Controllability of mobile robots with kinematic constraints:

Abstract: "We address the controllability problem for robot systems subject to kinematic constraints on the velocity and its application to path planning. We show that the well-known Controllability Rank Condition Theorem is applicable to these systems when there are inequality constraints on t...

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Bibliographic Details
Main Authors: Barraquand, Jérôme (Author), Latombe, Jean-Claude (Author)
Format: Book
Language:English
Published: Stanford, Calif. 1990
Series:Stanford University / Computer Science Department: Report STAN CS 1317
Subjects:
Summary:Abstract: "We address the controllability problem for robot systems subject to kinematic constraints on the velocity and its application to path planning. We show that the well-known Controllability Rank Condition Theorem is applicable to these systems when there are inequality constraints on the velocity in addition to equality constraints, and/or when the constraints are non-linear instead of linear. This allows us to infer a whole set of new results on the controllability of robotic systems subject to non-integrable kinematic constraints (called nonholonomic systems). A car with limited steering angle is one example of such a system.
Physical Description:24 S. graph. Darst.

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