On Practical Fixed Order H∞ Loop-Shaping

Serge Hirwa 1, 2 Philippe Feyel 1, 2 Gilles Duc 2 Guillaume Sandou 3, 2
3 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 : In this paper, a fixed order H ∞ synthesis is used to directly shape the open loop transfer function so that it matches as closely as possible, in the singular values sense, a desired frequency gain which captures both performance and robust stability objectives. First, a loop shaping weight is automatically computed, and then it is used in the controller synthesis by solving a well-suited four-block H ∞ control problem with a recently developed nonsmooth H ∞ synthesis routine. Two industrial applications are provided to illustrate the potential of the approach for low order robust controller design: a first one on the control of a piezo-actuated optronic mechanism, a second one dealing with inertial Line Of Sight stabilization loops.
Document type :
Conference papers
Complete list of metadatas

Contributor : Josiane Dartron <>
Submitted on : Monday, May 27, 2013 - 11:47:09 AM
Last modification on : Wednesday, June 5, 2019 - 10:38:03 AM


  • HAL Id : hal-00826279, version 1



Serge Hirwa, Philippe Feyel, Gilles Duc, Guillaume Sandou. On Practical Fixed Order H∞ Loop-Shaping. 2013 European Control Conference (ECC), Jul 2013, Zurich, Switzerland. ⟨hal-00826279⟩



Record views