A Randomly Perturbed Iterative Proper Orthogonal Decomposition (RI-POD) Technique for Filtering Distributed Parameter Systems Conference Paper

abstract

• In this paper, we consider the filtering of distributed parameter systems (DPS), i.e., systems governed by partial differential equations (PDE). We adopt a reduced order model (ROM) based strategy to solve the problem. We propose a randomly perturbed iterative version of the snapshot proper orthogonal decomposition (POD) technique, termed RI-POD, to construct ROMs for DPS that is capable of capturing their global behaviour. Further, the technique is entirely data based, and is applicable to forced as well as unforced systems. We apply the ROM generated using the RI-POD technique to construct reduced order Kalman filters to solve the DPS filtering problem. The methodology is tested on the 1-dimensional heat equation. 2012 AACC American Automatic Control Council).

name of conference

• 2012 American Control Conference (ACC)

authors

• Chakravorty, Suman

published proceedings

• 2012 AMERICAN CONTROL CONFERENCE (ACC)

author list (cited authors)

• Yu, D., & Chakravorty, S.

citation count

• 6

complete list of authors

• Yu, Dan||Chakravorty, Suman

publication date

• January 2012

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Distributed Parameter Systems
• Filtering/data Assimilation
• Proper Orthogonal Decomposition (pod)

Digital Object Identifier (DOI)

• 10.1109/acc.2012.6315137

International Standard Book Number (ISBN) 13

• 9781457710957

start page

• 4363

end page

• 4368

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Facc.2012.6315137