Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process

DOI10.1137/20M1329020zbMath1459.93056arXiv2004.01568OpenAlexW3135105070MaRDI QIDQ5853640

Jean-Paul Gauthier, Lucas Brivadis, Ulysse Serres, Vincent Andrieu

Publication date: 11 March 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01568

zbMATH Keywords

observabilitylinear time-varying systemsinfinite-dimensional systemsLuenberger observerscrystallizationback and forth nudging

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Observability (93B07) Observers (93B53)

Related Items (4)

Output feedback stabilization of non-uniformly observable systems ⋮ Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques ⋮ Designing asymptotic observers for linear completely regular differential algebraic systems with delay ⋮ New perspectives on output feedback stabilization at an unobservable target

Uses Software

• 4D-VAR

Cites Work

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• The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D-VAR
• Locally Distributed Control and Damping for the Conservative Systems
• Rapid Exponential Feedback Stabilization with Unbounded Control Operators
• A Note on Complete Controllability and Stabilizability for Linear Control Systems in Hilbert Space

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