Fixed-Order H-infinity Loop-Shaping Synthesis: a Time Domain Approach

Philippe Feyel 1 Gilles Duc 1 Guillaume Sandou 2, 1
2 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 : This work deals with a new approach of loop-shaping H ∞ synthesis based on the Particle Swarm Optimization (PSO) algorithm. Indeed, such stochastic algorithms are interesting to solve problems based on complex industrial specifications and so seem to be particularly well suited to optimal robust controller synthesis. In this work we investigate the optimal weight tuning along a fixed order controller computation without any structural assumption on the searched filters except of course their order. The absence of any structural assumption is important to avoid affecting the quality of the solution towards a complex specification and allows us to reduce the synthesis problem to a simple time domain one with static scalings in place of frequency weights. Using a version of PSO well adapted for high dimensional problems, we succeed in computing a fixed-order controller for complex industrial specifications toward a generic non constraint fitness with quite reasonable computing time.
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Submitted on : Monday, May 27, 2013 - 11:39:57 AM
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Philippe Feyel, Gilles Duc, Guillaume Sandou. Fixed-Order H-infinity Loop-Shaping Synthesis: a Time Domain Approach. 2013 IEEE Symposium on Computational Intelligence in Control and Automation (CICA), Apr 2013, Singapore, Singapore. ⟨10.1109/CICA.2013.6611672⟩. ⟨hal-00826272⟩



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