PARAMETRIC OPTIMIZATION FOR OPTIMAL SYNTHESIS - of robotic systems’ motions

Taha Chettibi, Moussa Haddad, Samir Hanchi

2005

Abstract

This paper presents how a problem of optimal trajectory planning, that is an optimal control problem, can be transformed into a parametric optimization problem and in consequence be tackled using efficient deterministic or stochastic parametric optimization techniques. The transformation is done thanks to discretizing some or all continuous system’s variables and forming their time-histories by interpolation. We will discuss three different methods where, in addition to transfer time T, considered optimization parameters are: 1) independent state and control parameters, 2) control parameters and 3) independent position parameters. The simplicity and the efficiency of the third mode allow us to use it to solve the problem of optimal trajectory planning in complex situations, in particular for holonomic and non-holonomic systems.

Paper Citation

in Harvard Style

Chettibi T., Haddad M. and Hanchi S. (2005). PARAMETRIC OPTIMIZATION FOR OPTIMAL SYNTHESIS - of robotic systems’ motions . In Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO, ISBN 972-8865-30-9, pages 3-10. DOI: 10.5220/0001160700030010

in Bibtex Style

@conference{icinco05,
author={Taha Chettibi and Moussa Haddad and Samir Hanchi},
title={PARAMETRIC OPTIMIZATION FOR OPTIMAL SYNTHESIS - of robotic systems’ motions},
booktitle={Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,},
year={2005},
pages={3-10},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001160700030010},
isbn={972-8865-30-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Informatics in Control, Automation and Robotics - Volume 4: ICINCO,
TI - PARAMETRIC OPTIMIZATION FOR OPTIMAL SYNTHESIS - of robotic systems’ motions
SN - 972-8865-30-9
AU - Chettibi T.
AU - Haddad M.
AU - Hanchi S.
PY - 2005
SP - 3
EP - 10
DO - 10.5220/0001160700030010