Feedback control of semi-linear distributed parameter systems using advanced POD method

Manda Yang, Antonios Armaou

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

2 Scopus citations

Abstract

We focus on the control of dissipative distributed parameter systems employing passthrou proper orthogonal decomposition (Passthrou POD) method. The objective of the approach is to develop a model order reduction and control method that is robust to model uncertainty and disturbances and relaxes some of the requirements of standard POD. The proposed method is successfully applied to regulate a representative diffusion-reaction process. To assess the performance of passthrou POD, both passthrou POD and standard POD are used to construct low dimensional reduced order models (ROMs). Linear feedback controllers and nonlinear dynamic observers are subsequently designed based on the obtained ROMs. Simulation results illustrate that passthrou POD method is more efficient and robust to model uncertainty, disturbances and ensemble construction.

Original languageEnglish (US)
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4680-4687
Number of pages8
ISBN (Electronic)9781479978861
DOIs
StatePublished - Feb 8 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

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All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Yang, M., & Armaou, A. (2015). Feedback control of semi-linear distributed parameter systems using advanced POD method. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 4680-4687). [7402949] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402949