About Optimization Techniques in Application to Symbolic-Numeric Optimal Control Seeking Aproach

Ivan Ryzhikov, Eugene Semenkin, Vladimir Okhorzin

2013

Abstract

The optimal control problem for nonlinear dynamic systems is considered. The proposed approach is based on the both partially analytical and partially numerical techniques of the optimal control problem solving. Using the maximum principle the system with the state and co-state variables can be determined and after closing up the initial optimal control problem, it can be reduced to unconstrained extremum problem. The extremum problem is related to seeking for the initial point for the co-state variables that would satisfy the boundaries. To solve the optimization problem, well-known global optimization techniques are suggested and compared. The settings of the algorithms were varied. Also, the new modified hybrid evolutionary strategies algorithm was compared to common techniques and in the current study it was more efficient.

Paper Citation

in Harvard Style

Ryzhikov I., Semenkin E. and Okhorzin V. (2013). About Optimization Techniques in Application to Symbolic-Numeric Optimal Control Seeking Aproach . In Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-70-9, pages 268-275. DOI: 10.5220/0004488302680275

in Bibtex Style

@conference{icinco13,
author={Ivan Ryzhikov and Eugene Semenkin and Vladimir Okhorzin},
title={About Optimization Techniques in Application to Symbolic-Numeric Optimal Control Seeking Aproach},
booktitle={Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2013},
pages={268-275},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004488302680275},
isbn={978-989-8565-70-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - About Optimization Techniques in Application to Symbolic-Numeric Optimal Control Seeking Aproach
SN - 978-989-8565-70-9
AU - Ryzhikov I.
AU - Semenkin E.
AU - Okhorzin V.
PY - 2013
SP - 268
EP - 275
DO - 10.5220/0004488302680275