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Robust LFR-based technique for stability analysis of periodic solutions

Dimitri Peaucelle 1 Christophe Farges 1, 2 Denis Arzelier 1
1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 IMS - Laboratoire de l'intégration, du matériau au système
Abstract : Linear matrix inequality based techniques, most often used for robust analysis of linear systems, are applied to the stability analysis of periodic equilibrium trajectories of nonlinear systems. Results are derived by linearfractional representation of the nonlinearities and taking into account parametric uncertainties in the same time. Numerically exploitable formulas are obtained by discretization. An academic example illustrates the entire methodology.
Keywords : Robustness Periodic systems Linear Matrix Inequalities LFR
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https://hal.archives-ouvertes.fr/hal-00331203
Contributor : Christophe Farges <>
Submitted on : Wednesday, October 15, 2008 - 4:39:22 PM
Last modification on : Friday, January 10, 2020 - 9:08:08 PM

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CNRS | IMS-BORDEAUX | IMS-BORDEAUX-FUSION | INSA-TOULOUSE | LAAS | INSA-GROUPE | UNIV-TLSE3 | UT1-CAPITOLE | UNIV-TLSE2

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Dimitri Peaucelle, Christophe Farges, Denis Arzelier. Robust LFR-based technique for stability analysis of periodic solutions. 3rd IFAC Workshop on Periodic Control Systems. PSYCO'07., Aug 2007, Saint Petersburg, Russia. pp.263-267, ⟨10.3182/20070829-3-RU-4912.00046⟩. ⟨hal-00331203⟩

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