Linear matrix inequalities and evolutionary optimization in multiobjective control

Molina-Cristóbal, A. , Griffin, I. A., Fleming, P. J. and Owens, D. H. (2006) Linear matrix inequalities and evolutionary optimization in multiobjective control. International Journal of Systems Science, 37(8), pp. 513-522. (doi: 10.1080/00207720600783942)

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Abstract

The multiobjective problems of H 2 optimal control (LQG case) and mixed H 2/H ∞ are addressed using two different approaches: Evolutionary Algorithms and Linear Matrix Inequalities (LMIs). This study illustrates with numerical examples how both approaches can be used to find the trade-off between different signal sensitivities to noise and to find the trade-off of the mixed H 2/H ∞ problem. For the mixed H 2/H ∞ example, this paper shows how a Multiobjective Genetic Algorithm (MOGA) could find an improved Pareto-optimal front compared to the LMI approach.

Item Type:Articles
Additional Information:Special issue on the 6th Portuguese Conference on Automatic Control (Controlo 2004)
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Molina-Cristobal, Dr Arturo
Authors: Molina-Cristóbal, A., Griffin, I. A., Fleming, P. J., and Owens, D. H.
College/School:College of Science and Engineering > School of Engineering
Journal Name:International Journal of Systems Science
Publisher:Taylor and Francis
ISSN:0020-7721
ISSN (Online):1464-5319
Published Online:02 September 2006

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