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Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach

Francesco Ferrante 1 Alexandre Seuret 2
1 GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics
GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection terms, one acting at the sampling instants and one providing an intersample injection. The error dynamics are augmented with a timer variable triggering the arrival of a new measurement and analyzed via hybrid system tools. Using Lyapunov theory, sufficient conditions for the convergence of the observer are provided. Relying on those conditions, an optimal LMI-based design is proposed for the observer gains. The effectiveness of the approach is illustrated in an example.
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https://hal.laas.fr/hal-03150185
Contributor : Alexandre Seuret Connect in order to contact the contributor
Submitted on : Tuesday, February 23, 2021 - 3:42:03 PM
Last modification on : Friday, October 29, 2021 - 9:59:12 AM

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Francesco Ferrante, Alexandre Seuret. Observer Design for Linear Aperiodic Sampled-Data Systems: A Hybrid Systems Approach. IEEE Control Systems Letters, IEEE, 2022, 6, pp.470-475. ⟨10.1109/LCSYS.2021.3081345⟩. ⟨hal-03150185⟩

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