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Multi-Performance State-Feedback for Time-Varying Linear Systems

Thomas Conord 1 Dimitri Peaucelle 1
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : The classical LMI framework for robust multi-objective analysis is extended from time-invariant to time-varying systems. Results concern both input-output performances and bounds on times responses such as the damping ratio. State-feedback is considered using the Svariable approach which allows, at the difference of the Lyapunov Shaping Paradigm, to search for several Lyapunov certificates simultaneously, one for each performance requirement of the multi-objective problem. Results are illustrated by local stabilisation of a non-linear plant with several performance specifications.
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Contributor : Thomas Conord <>
Submitted on : Monday, March 22, 2021 - 10:02:29 AM
Last modification on : Friday, July 9, 2021 - 4:30:33 AM
Long-term archiving on: : Wednesday, June 23, 2021 - 6:18:47 PM


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  • HAL Id : hal-03176042, version 1


Thomas Conord, Dimitri Peaucelle. Multi-Performance State-Feedback for Time-Varying Linear Systems. Third IFAC Conference on Modelling, Identification and Control of Nonlinear Systems - MICNON 2021, Sep 2021, Online, Japan. ⟨hal-03176042v1⟩



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