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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Path planning of a manipulator based on an improved P_RRT* algorithm.

Junhui Yi1, Qingni Yuan1, Ruitong Sun1

  • 1Key Laboratory of Modern Manufacturing Technology, Ministry of Education, West Campus, Guizhou University, Huaxi District, Guiyang, Guizhou China.

Complex & Intelligent Systems
|January 26, 2022
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Summary
This summary is machine-generated.

This study introduces an improved potential function-based rapidly exploring random tree star (P_RRT*) algorithm to enhance path planning for manipulators. The enhanced method accelerates search efficiency and generates smoother, less tortuous paths.

Keywords:
Improved P_RRT* algorithmManipulatorNearest neighbour node selectionPath planningTwo expansions

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Area of Science:

  • Robotics
  • Artificial Intelligence
  • Computational Geometry

Background:

  • The potential function-based rapidly exploring random tree star (P_RRT*) algorithm suffers from slow convergence and low search efficiency.
  • Path planning for manipulators in 3D space requires efficient and reliable algorithms.

Purpose of the Study:

  • To propose an improved P_RRT* algorithm for manipulator path planning in three-dimensional space.
  • To enhance the convergence speed and search efficiency of existing P_RRT* methods.

Main Methods:

  • A novel approach employing potential function-based random sampling and a dual-expansion strategy (goal-biased and rectangular area sampling).
  • Incorporation of parent node reselection, redundant node deletion, and maximum curvature constraints for path optimization.
  • Utilizing Bezier curves for trajectory fitting to generate smooth manipulator paths.

Main Results:

  • The improved P_RRT* algorithm demonstrated significantly enhanced search efficiency and faster convergence.
  • Generated paths exhibited reduced tortuosity due to redundant node deletion and curvature constraints.
  • Experimental validation in Python and ROS confirmed the algorithm's effectiveness and superiority over existing methods.

Conclusions:

  • The proposed improved P_RRT* algorithm offers a superior solution for manipulator path planning in 3D environments.
  • The method effectively addresses the limitations of traditional P_RRT* algorithms, providing faster and smoother path generation.
  • The successful experimental verification highlights the practical applicability and performance advantages of the enhanced algorithm.