Stability of bilinear sampled-data systems with an emulation of static state feedback

Hassan Omran 1 Laurentiu Hetel 1 Jean-Pierre Richard 1, 2, 3 Françoise Lamnabhi-Lagarrigue 4
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This note is dedicated to the stability analysis of bilinear sampled-data systems, controlled via a linear state feedback static controller. A zero order hold device is used. Our purpose is to find a constructive way to calculate the maximum allowable sampling period (MASP) that guarantees the local stability of the system. The proposed stability conditions are formulated as linear matrix inequalities (LMI).
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00728443
Contributor : Hassan Omran <>
Submitted on : Thursday, September 6, 2012 - 10:18:49 AM
Last modification on : Friday, December 20, 2019 - 11:48:02 AM

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  • HAL Id : hal-00728443, version 1

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Hassan Omran, Laurentiu Hetel, Jean-Pierre Richard, Françoise Lamnabhi-Lagarrigue. Stability of bilinear sampled-data systems with an emulation of static state feedback. The 51st IEEE Conference on Decision and Control, Dec 2012, Maui, United States. pp.7541-7546. ⟨hal-00728443⟩

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