2005
DOI: 10.1109/tro.2004.838008
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A convergent dynamic window approach to obstacle avoidance

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Cited by 264 publications
(158 citation statements)
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“…(u 1(k) , u 2(k) ) is the control at time k. Now we change the robot model to (24) which are suitable for (9) with (19).…”
Section: Robot Modeling In Temporary Navigation Coordinatementioning
confidence: 99%
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“…(u 1(k) , u 2(k) ) is the control at time k. Now we change the robot model to (24) which are suitable for (9) with (19).…”
Section: Robot Modeling In Temporary Navigation Coordinatementioning
confidence: 99%
“…The obtained direction and velocity need to be implemented by a driving control method, such as Proportion Integration Differentiation (PID) control or other nonlinear controls. Navigation approaches mentioned above belong to classical Nonmodel Based Method, and are not adequate for taking internal robot constraints like shape and dynamics into account, see [24]. It is rather difficult to control a robot traveling in a high speed with dynamic and mechanical constraints.…”
Section: Introductionmentioning
confidence: 99%
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“…Even though numerous methods for motion planning and trajectory optimization can be found in the literature, the trade-off between the optimality of the solution and the computational effort is still crucial. Stabilizing receding horizon controllers (RHC) are motion planners that avoid local minima [10,13]. For practical reasons, many methods assume that the state space is collision-free.…”
Section: Related Workmentioning
confidence: 99%
“…This problem can be solved by splitting the configuration space into convex parts and by optimizing them separately [10]. The convergent dynamic window approach (CDW) [13] uses an interpolated continuous version of the navigation function [7] as a control Lyapunov function. The previously mentioned methods solving the stabilization problem are based on continuous analysis.…”
Section: Related Workmentioning
confidence: 99%