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Analysis of bilinear systems with sampled-data state feedback

Hassan Omran 1 Laurentiu Hetel 2 Jean-Pierre Richard 3 Françoise Lamnabhi-Lagarrigue 4
1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 L2S - Laboratoire des signaux et systèmes
Abstract : In this chapter we consider the stability analysis of bilinear systems controlled via a sampled-data state feedback controller. Sampling periods may be time-varying and subject to uncertainties. The goal of this study is to find a constructive manner to estimate the maximum allowable sampling period (MASP) that guarantees the local stability of the system. Stability criteria are proposed in terms of linear matrix inequalities (LMI).
Keywords : Lyapunov function Maximum Allowable Sampling Period (MASP) Linear Matrix Inequalities (LMI) Linear State Feedback Bilinear Systems
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01260212
Contributor : Myriam Baverel <>
Submitted on : Thursday, January 21, 2016 - 4:39:09 PM
Last modification on : Tuesday, June 1, 2021 - 9:09:46 AM

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CNRS | INRIA | SUP_LSS | CENTRALESUPELEC | SUP_SYSTEMES | LAGIS | TDS-MACS | CRISTAL-SYNER | CRISTAL | UNIV-LILLE | GS-COMPUTER-SCIENCE

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Hassan Omran, Laurentiu Hetel, Jean-Pierre Richard, Françoise Lamnabhi-Lagarrigue. Analysis of bilinear systems with sampled-data state feedback. Seuret, A., Hetel, L., Daafouz, J., Johansson, K.H. (Eds.) Delays and Networked control systems, Springer Verlag, pp.79-96, 2015, 978-3-319-32372-5. ⟨10.1007/978-3-319-32372-5_5⟩. ⟨hal-01260212⟩

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