Robotics Research Technical Report: Analysis of the Motion-Planning Problem for a Simple Two-Link Planar Arm - Softcover

Inhaltsangabe

Understanding motion planning for a two‑link robot arm in a cluttered room This report analyzes how a planar robotic arm with a telescoping upper segment and a fixed forearm can move without hitting obstacles. It introduces precise geometric constructs that describe where the arm can place itself and how those placements relate to each other.

Readers will see how the workspace is defined, including the free region inside the room and the obstacles that restrict motion. The work uses a notion of virtual walls to represent obstacle constraints, and it builds up a framework of placements, regions, and adjacencies to map out possible movements. The approach blends geometric reasoning with algorithmic ideas to plan paths through complex environments.

• How the arm is modeled: a fixed-origin shoulder, a variable-length upper arm, and a freely rotating forearm with length d.
• Key concepts: free placements, generic placements, and maximal noncritical regions that partition the space of motions.
• The role of real and virtual walls in defining valid configurations and how they shape motion planning.
• Construction of a connectivity graph that captures how regions connect and how the arm can move between them.

This edition is well suited for researchers and students who want a concrete, math‑driven view of robotic motion planning in environments with obstacles. Ideal for readers interested in the geometry of robot arms and foundational planning algorithms.

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