Global Journal of Pure and Applied Mathematics
  • Year: 2007
  • Volume: 3
  • Issue: 2

Lyapunov-based Kinematic Path Planning for a 3-link Planar Robot Arm in a Structured Environment

  • Author:
  • Jito Vanualailai, Bibhya Sharma, Ashehad Ali
  • Total Page Count: 16
  • Page Number: 175 to 190

School of Computing, Information & Mathematical Sciences, University of the South Pacific, Suva, FIJI.

* vanualailai@usp.ac.fj,

** sharma-b@usp.ac.fj,

*** ali_a@usp.ac.fj

Abstract

Based on an emerging artificial potential field technique that models constraints in a robotic system via the Second Method of Lyapunov, this paper proposes nonlinear controllers to guide the end-effector of a single three-link planar robot arm to the desired target in a structured or constrained environment. Numerical examples show how the controllers provide collision detection and avoidance.

Keywords

Path planning, findpath problem, Lyapunov function, Lyapunov stability, structured environment