Observer Design for Hybrid Systems with Linear Maps and Known Jump Times - Automatique et systèmes (CAS) Access content directly
Book Sections Year : 2024

Observer Design for Hybrid Systems with Linear Maps and Known Jump Times

Pauline Bernard
Lorenzo Marconi
  • Function : Author
  • PersonId : 866351

Abstract

This chapter unifies and develops recent developments in observer design for hybrid systems with linear dynamics and output maps, whose jump times are known. We define and analyze the (pre-)asymptotic detectability and uniform complete observability of this class of systems, then present two different routes for observer design. The first one relies on a synchronized Kalman-like observer that gathers observability from both flows and jumps. The second one consists in decomposing the state into parts with different observability properties and coupling observers estimating each of these parts, possibly exploiting an extra fictitious measurement coming from the combination of flows and jumps. These observers are based on a Linear Matrix Inequality (LMI) or the Kazantzis-Kravaris/Luenberger (KKL) paradigm. A comparison of these methods is presented in a table at the end.
Fichier principal
Vignette du fichier
Chapter_Linear hybrid observers.pdf (481.71 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04384867 , version 1 (10-01-2024)

Identifiers

  • HAL Id : hal-04384867 , version 1

Cite

Gia Quoc Bao Tran, Pauline Bernard, Lorenzo Marconi. Observer Design for Hybrid Systems with Linear Maps and Known Jump Times. Romain Postoyan; Paolo Frasca; Elena Panteley; Luca Zaccarian. Hybrid and Networked Dynamical Systems, Springer, 2024. ⟨hal-04384867⟩
59 View
33 Download

Share

Gmail Facebook X LinkedIn More