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Stability of Robotic Obstacle Avoidance and Force Interaction

Johansson, Rolf LU orcid and Robertsson, Anders LU (2009) 9th IFAC International Symposium on Robot Control In IFAC Proceedings Volumes 42(16). p.561-566
Abstract
Stability problems associated with robot control with obstacle avoidance are analysed. Obstacle avoidance algorithms based on potential function are revised to accomplish stable re-design. A stability proof using Lyapunov theory and passivity theory is provided for the re-designed obstacle avoidance algorithm. The paper presents a modification of potential functions for obstacle avoidance aiming towards stable obstacle avoidance and force interaction. The input is modified to permit block decomposition into a strict positive real (SPR) block and a passive high-gain block. This modification suggested involves a velocity-dependent potential-like repulsive force action from the obstacle. Stability proofs using Lyapunov theory and passivity... (More)
Stability problems associated with robot control with obstacle avoidance are analysed. Obstacle avoidance algorithms based on potential function are revised to accomplish stable re-design. A stability proof using Lyapunov theory and passivity theory is provided for the re-designed obstacle avoidance algorithm. The paper presents a modification of potential functions for obstacle avoidance aiming towards stable obstacle avoidance and force interaction. The input is modified to permit block decomposition into a strict positive real (SPR) block and a passive high-gain block. This modification suggested involves a velocity-dependent potential-like repulsive force action from the obstacle. Stability proofs using Lyapunov theory and passivity theory as well as simulations demonstrate asymptotic stability, eliminating oscillatory or divergent behaviors. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
in
IFAC Proceedings Volumes
volume
42
issue
16
pages
6 pages
publisher
Elsevier
conference name
9th IFAC International Symposium on Robot Control
conference location
Gifu, Japan
conference dates
2009-09-09
DOI
10.3182/20090909-4-JP-2010.00095
project
RobotLab LTH
ROSETTA
language
English
LU publication?
yes
id
c0f7ab25-79e9-46e1-bb83-6faee8c66388
date added to LUP
2022-05-24 22:47:37
date last changed
2022-06-29 08:15:38
@article{c0f7ab25-79e9-46e1-bb83-6faee8c66388,
  abstract     = {{Stability problems associated with robot control with obstacle avoidance are analysed. Obstacle avoidance algorithms based on potential function are revised to accomplish stable re-design. A stability proof using Lyapunov theory and passivity theory is provided for the re-designed obstacle avoidance algorithm. The paper presents a modification of potential functions for obstacle avoidance aiming towards stable obstacle avoidance and force interaction. The input is modified to permit block decomposition into a strict positive real (SPR) block and a passive high-gain block. This modification suggested involves a velocity-dependent potential-like repulsive force action from the obstacle. Stability proofs using Lyapunov theory and passivity theory as well as simulations demonstrate asymptotic stability, eliminating oscillatory or divergent behaviors.}},
  author       = {{Johansson, Rolf and Robertsson, Anders}},
  language     = {{eng}},
  number       = {{16}},
  pages        = {{561--566}},
  publisher    = {{Elsevier}},
  series       = {{IFAC Proceedings Volumes}},
  title        = {{Stability of Robotic Obstacle Avoidance and Force Interaction}},
  url          = {{http://dx.doi.org/10.3182/20090909-4-JP-2010.00095}},
  doi          = {{10.3182/20090909-4-JP-2010.00095}},
  volume       = {{42}},
  year         = {{2009}},
}