AN LMI-BASED GENETIC ALGORITHM FOR GUARANTEED COST CONTROL

G. A. Papakostas, O. I. Kosmidou, I. E. Antonakis

Abstract

In this paper a new approach for the Guaranteed Cost Control Problem (GCCP) is presented, using two efficient tools, Linear Matrix Inequalities (LMIs) and Genetic Algorithms (GAs). A linear system with parametric uncertainty is considered for which a control law is to be found, minimizing a performance index. In a previous paper, an efficient method has been presented by using an LMI optimisation technique. A combined use of LMIs and GAs is proposed in the present approach that allows further improvement of the design procedure.

References

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  2. Fischman A., Dion J.M., Dugard L. and Trofino Neto A., 1996. “A Linear Matrix Inequality Approach for Guaranteed Cost Control”, IFAC World Congress, San Francisco-USA.
  3. Gahinet P., Nemirovski A., Laub A.J., Chiladi M., 1995. “LMI Control Toolbox”, The Mathworks Partner Series.
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Paper Citation


in Harvard Style

A. Papakostas G., I. Kosmidou O. and E. Antonakis I. (2004). AN LMI-BASED GENETIC ALGORITHM FOR GUARANTEED COST CONTROL . In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 972-8865-12-0, pages 327-333. DOI: 10.5220/0001145303270333


in Bibtex Style

@conference{icinco04,
author={G. A. Papakostas and O. I. Kosmidou and I. E. Antonakis},
title={AN LMI-BASED GENETIC ALGORITHM FOR GUARANTEED COST CONTROL},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2004},
pages={327-333},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001145303270333},
isbn={972-8865-12-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - AN LMI-BASED GENETIC ALGORITHM FOR GUARANTEED COST CONTROL
SN - 972-8865-12-0
AU - A. Papakostas G.
AU - I. Kosmidou O.
AU - E. Antonakis I.
PY - 2004
SP - 327
EP - 333
DO - 10.5220/0001145303270333