Maximization of the volume of the mu-guaranteed stability domain using Particle Swarm Optimization

Guillaume Sandou 1, 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 AUTO - Département Automatique
E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
Abstract : The robustness against parametric uncertainties can be studied using the structured singular value μ. In that case, a normalization of the uncertain parameters is performed, and the μ analysis provides the larger parallelepiped centered in the nominal and included in the stability domain. However, results depend on the initial normalization. In this paper, the normalization is optimized so as to get the largest guaranteed stability domain. The corresponding problem being highly nonlinear, a metaheuristic method, Particle Swarm Optimization, is used for that purpose. An academic and a real life examples are used to prove the viability of the approach.
Type de document :
Communication dans un congrès
13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France. IEEE, pp.582 - 587, 2014, 〈10.1109/ECC.2014.6862258〉
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https://hal.inria.fr/hal-00975144
Contributeur : Pascale Lepeltier <>
Soumis le : mardi 8 avril 2014 - 09:01:58
Dernière modification le : jeudi 26 avril 2018 - 15:10:47

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Guillaume Sandou. Maximization of the volume of the mu-guaranteed stability domain using Particle Swarm Optimization. 13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France. IEEE, pp.582 - 587, 2014, 〈10.1109/ECC.2014.6862258〉. 〈hal-00975144〉

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