Existence and design of a functional observer for LTI systems with known bounded input

In the present contribution, we address the existence and the design of a functional observer, for known bounded inputs and linear systems. Based on a characterization by means of invariants zeros given in the literature, the existence of a functional observer is revisited by means of observability matrix, as well as through a generalized Sylvester equation. The latter is then used to design a reduced functional observer, provided that the input signal is known and bounded.

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Journal
IFAC-PapersOnLine
Published
2025-01-01
DOI
https://doi.org/10.1016/j.ifacol.2025.09.576
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
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article

Existence and design of a functional observer for LTI systems with known bounded input

Michaël Di Loreto, Damien Ébérard, Ahlem Sassi, Hugo Jamet
IFAC-PapersOnLine
Adaptive Control of Nonlinear Systems
article

Existence and design of a functional observer for LTI systems with known bounded input

Michaël Di Loreto, Damien Ébérard, Ahlem Sassi, Hugo Jamet
article en

Abstract

In the present contribution, we address the existence and the design of a functional observer, for known bounded inputs and linear systems. Based on a characterization by means of invariants zeros given in the literature, the existence of a functional observer is revisited by means of observability matrix, as well as through a generalized Sylvester equation. The latter is then used to design a reduced functional observer, provided that the input signal is known and bounded.

IFAC-PapersOnLineVol. 59(12)
Université Claude Bernard Lyon 1 (FR), Centre National de la Recherche Scientifique (FR), Communauté urbaine de Lyon (FR), Laboratoire Ampère (FR), Institut National des Sciences Appliquées de Lyon (FR)
Openalex Percentile: Top 65%
Adaptive Control of Nonlinear Systems
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