Constrained Reduced Order H∞ Synthesis with Optimal Filter Tuning Using Particle Swarm Optimization

Guillaume Sandou 1, 2 Gilles Duc 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
Abstract : Efficient dedicated methods have been developed for H∞ controller synthesis. However, such methods require translating the design objectives using weighting filters, whose tuning is not easy; in addition they lead to high order controllers which have to be reduced. In this paper, a particle swarm optimization method is used to solve both problems successively: after having optimized the filters according to the design specifications using a full order controller but no reformulation of the constraints, a reduced-order one is computed using the obtained filters. Experimental tests for a pendulum in the cart exhibit much than satisfactory results.
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Conference papers
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https://hal-supelec.archives-ouvertes.fr/hal-00694376
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Submitted on : Friday, May 4, 2012 - 10:38:55 AM
Last modification on : Wednesday, June 5, 2019 - 10:38:03 AM

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Guillaume Sandou, Gilles Duc. Constrained Reduced Order H∞ Synthesis with Optimal Filter Tuning Using Particle Swarm Optimization. 7th IFAC Symposium on Robust Control Design, Jun 2012, Aalborg, Denmark. ⟨10.3182/20120620-3-DK-2025.00014⟩. ⟨hal-00694376⟩

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