IEEE Transactions on Magnetics · 2006 · 34 citations · 8 references
EngineeringElectrical EngineeringRobotics EngineeringMobile RoboticsPath PlanningRoboticsElectric FieldsMobile Robot ControlNavigation PlanningRobot Motion PlanningRobot NavigationArtificial Potential FieldsElectrostatic Field CalculationsElectrostatic Field StrengthMobile NavigationMobile Robot NavigationRobot Path PlanningRobotic Path PlanningTrajectory Planning
This paper addresses the problem of mobile robot navigation using artificial potential fields. Many potential field based methodologies are found in the robotics literature, but most of them have problems with spurious local minima, which cause the robot to stop before reaching its target position. Although some free of local minima methodologies are found in the literature, none of them are easy to implement and generalize for complex shaped environments and robots. We propose a perfect analogy between electrostatic field computation and robot path planning. Thus, an easy solution to the problem, which is based on standard finite-element methods, can be applied with generic geometries and can even take into account the robot's orientation. To demonstrate the elegance of the proposed methodology, several experimental results with actual mobile robots are included.
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Path planning using Laplace's equation
Christopher I. Connolly, J. Brian Burns, Richard Weiss · 2002 · 478 citations
A gradient method for realtime robot control
Kurt Konolige · 2002 · 184 citations