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Sampled-data H-infinity filtering of a 2D heat equation under pointlike measurements
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
Tel Aviv Univ, Tel Aviv, Israel..
2018 (English)In: 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), IEEE , 2018, p. 539-544Conference paper, Published paper (Refereed)
Abstract [en]

The existing sampled-data observers for 2D heat equations use spatially averaged measurements, i.e., the state values averaged over subdomains covering the entire space domain. In this paper, we introduce an observer for a 2D heat equation that uses pointlike measurements, which are modeled as the state values averaged over small subsets that do not cover the space domain. The key result, allowing for an efficient analysis of such an observer, is a new inequality that bounds the L-2-norm of the difference between the state and its point value by the reciprocally convex combination of the L-2-norms of the first and second order space derivatives of the state. The convergence conditions are formulated in terms of linear matrix inequalities feasible for large enough observer gain and number of pointlike sensors. The results are extended to solve the H-infinity filtering problem under continuous and sampled in time pointlike measurements.

Place, publisher, year, edition, pages
IEEE , 2018. p. 539-544
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:kth:diva-245015DOI: 10.1109/CDC.2018.8619284ISI: 000458114800075Scopus ID: 2-s2.0-85062167425ISBN: 978-1-5386-1395-5 (print)OAI: oai:DiVA.org:kth-245015DiVA, id: diva2:1293676
Conference
57th IEEE Conference on Decision and Control (CDC), DEC 17-19, 2018, Miami Beach, FL
Note

QC 20190305

Available from: 2019-03-05 Created: 2019-03-05 Last updated: 2019-04-11Bibliographically approved

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