Control of dissipative partial differential equation systems using APOD based dynamic observer designs

Davood Babaei Pourkargar, Antonios Armaou

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

10 Scopus citations

Abstract

This article focuses on output feedback control of distributed parameter systems with limited number of sensors employing adaptive proper orthogonal decomposition (APOD) methodology. The controller design issue is addressed by combining a robust state controller with a dynamic observer of the system states to reduce sensor requirements. The use of APOD methodology allows the development of locally accurate low-dimensional reduced order dynamic models (ROMs) for controller synthesis thus resulting in a computationally-efficient alternative to using large-dimensional models with global validity. The derived ROMs are subsequently employed for the design of dynamic observers and controllers. The proposed methods are successfully used to achieve the desired control objective of stabilizing the Kuramoto-Sivashinksy equation (KSE) at a desired state spatial profile.

Original languageEnglish (US)
Title of host publication2013 American Control Conference, ACC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages502-508
Number of pages7
ISBN (Print)9781479901777
DOIs
StatePublished - Jan 1 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: Jun 17 2013Jun 19 2013

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period6/17/136/19/13

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Pourkargar, D. B., & Armaou, A. (2013). Control of dissipative partial differential equation systems using APOD based dynamic observer designs. In 2013 American Control Conference, ACC 2013 (pp. 502-508). [6579887] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2013.6579887