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Delayed H-infinity control of 2D diffusion systems under delayed pointlike measurements
KTH, School of Electrical Engineering and Computer Science (EECS).
Tel Aviv Univ, Sch Elect Engn, Tel Aviv, Israel..
2019 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 109, article id 108541Article in journal (Refereed) Published
Abstract [en]

Up to now, robust control of multi-dimensional diffusion systems was confined to averaged measurements. In this paper, we consider 2D diffusion systems with delayed pointlike measurements. A pointlike measurement is the state value averaged over a small subdomain that approximates its point value. The main novelty enabling the study of such measurements is a new inequality, which we call the reciprocally convex variation of Friedrich's inequality. It bounds the difference between a function and its point values in the L-2-norm using the function's derivatives. Combining this result with a new Lyapunov-Krasovskii functional, which has a spatially-varying kernel, we solve the H-infinity control and filtering problems in the presence of time-varying input and output delays. We show.that any 2D semilinear diffusion system with pointlike measurements can be stabilized by static output feedback applied through characteristic functions if the controller gain and number of sensors/actuators are large enough while the input and output delays are sufficiently small. The results are demonstrated on a 2D catalytic slab model. rights reserved.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2019. Vol. 109, article id 108541
Keywords [en]
Distributed parameter systems, Time-delays, Lyapunov-Krasovskii functionals, LMIs
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-262766DOI: 10.1016/j.automatica.2019.108541ISI: 000488416900007Scopus ID: 2-s2.0-85071027053OAI: oai:DiVA.org:kth-262766DiVA, id: diva2:1363186
Note

QC 20191022

Available from: 2019-10-22 Created: 2019-10-22 Last updated: 2019-11-26Bibliographically approved

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