Finite-Dimensional Adaptive Observer Design for Reaction Diffusion Equation With Large Output Delay

Tarek Ahmed-Ali; Emilia Fridman; Filippo Cacace

doi:10.1002/acs.3947

Finite-Dimensional Adaptive Observer Design for Reaction Diffusion Equation With Large Output Delay

Tarek Ahmed-Ali, Emilia Fridman, Filippo Cacace

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

The goal of this paper is to present a new finite-dimensional adaptive observer for some uncertain linear parabolic systems with delayed measurements. The observer is based on the modal decomposition approach and uses a classical persistent excitation condition. We prove that by using a finite-dimensional state predictor, we ensure exponential convergence of both states parameters estimation error for arbitrary long constant delay.

Original language	English
Pages (from-to)	433-439
Number of pages	7
Journal	International Journal of Adaptive Control and Signal Processing
Volume	39
Issue number	2
DOIs	https://doi.org/10.1002/acs.3947
State	Published - Feb 2025

Keywords

adaptive observer design
delayed systems
linear parabolic systems
modal decomposition

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Electrical and Electronic Engineering

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10.1002/acs.3947

Cite this

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abstract = "The goal of this paper is to present a new finite-dimensional adaptive observer for some uncertain linear parabolic systems with delayed measurements. The observer is based on the modal decomposition approach and uses a classical persistent excitation condition. We prove that by using a finite-dimensional state predictor, we ensure exponential convergence of both states parameters estimation error for arbitrary long constant delay.",

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Finite-Dimensional Adaptive Observer Design for Reaction Diffusion Equation With Large Output Delay

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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