GENETIC SOLUTIONS TO MIXED H2/H∞ PROBLEMS - Limits of Performance

Gustavo Sánchez, Miguel Strefezza, Minaya Villasana

2011

Abstract

One of the most relevant problems for control engineers is the so-called “mixed H2/H∞”. To solve it, different convexifying strategies became popular in the later 1990s, mainly based on Linear Matrix Inequalities (LMIs). On the other hand, genetic algorithms have also been applied for H2/H∞ synthesis. Indeed, several authors agree that they are able to find good solutions to this important control problem. However, in most of the published papers, only low-order SISO models have been considered. In the present paper a LMI-based algorithm is compared against a genetic algorithm, with respect to three performance indicators: Set Coverage, Maximum Distance and Efficient Set Spacing. Five open-loop MIMO models extracted from COMPleib are studied, for which the degree varies between 5 and 10. Based on numerical results, the genetic algorithm is not able to improve LMI solutions for problems with more than 42 variables, restricted to a budget of 20.000 function evaluations.

Paper Citation

in Harvard Style

Sánchez G., Strefezza M. and Villasana M. (2011). GENETIC SOLUTIONS TO MIXED H2/H∞ PROBLEMS - Limits of Performance . In Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011) ISBN 978-989-8425-83-6, pages 282-285. DOI: 10.5220/0003640702820285

in Bibtex Style

@conference{ecta11,
author={Gustavo Sánchez and Miguel Strefezza and Minaya Villasana},
title={GENETIC SOLUTIONS TO MIXED H2/H∞ PROBLEMS - Limits of Performance},
booktitle={Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011)},
year={2011},
pages={282-285},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003640702820285},
isbn={978-989-8425-83-6},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011)
TI - GENETIC SOLUTIONS TO MIXED H2/H∞ PROBLEMS - Limits of Performance
SN - 978-989-8425-83-6
AU - Sánchez G.
AU - Strefezza M.
AU - Villasana M.
PY - 2011
SP - 282
EP - 285
DO - 10.5220/0003640702820285