State and disturbance estimator for unstable reaction-advection-diffusion PDE with boundary disturbance

Dong Zhang, Shu Xia Tang, Scott J. Moura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose an asymptotically convergent state and disturbance estimator for a class of reaction-advection-diffusion PDEs where the disturbance is anti-collocated with control input, using measurements at both boundaries. Two auxiliary systems are designed for disturbance estimation, adopting the output error injection method, where the disturbance estimator is determined by the plant model structure and measured signals. A sufficient condition on the reaction coefficient is derived for which the disturbance estimator achieves asymptotic convergence to the true value. All states in the disturbance estimator are proved to be bounded using Lyapunov stability theory. We further propose a state estimator using the backstepping technique, by injecting the disturbance estimation signal into the state observer.

Original languageEnglish
Title of host publicationProceedings of the 2019 SIAM Conference on Control and Its Applications
EditorsWilliam S. Levine, Richard Stockbridge
PublisherSociety for Industrial and Applied Mathematics Publications
Pages67-74
Number of pages8
ISBN (Electronic)9781611975758
DOIs
StatePublished - Jan 1 2019
Event2019 SIAM Conference on Control and Its Applications, SIAM CT 2019 - Chengdu, China
Duration: Jun 19 2019Jun 21 2019

Publication series

NameProceedings of the 2019 SIAM Conference on Control and Its Applications

Conference

Conference2019 SIAM Conference on Control and Its Applications, SIAM CT 2019
CountryChina
CityChengdu
Period06/19/1906/21/19

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