Toward a More Efficient Implementation of Distributed-Delay Elements

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

Abstract

This note studies lumped-delay approximations of distributed-delay elements arising in various problems involving delay compensation or preview utilization. Several approaches to reduce implementation complexity, understood as the number of delays required to attain a required accuracy level, are put forward. First, we derive the H2-optimal coefficients for a given delay pattern. This can be seen as a problem-oriented alternative to traditionally used Newton-Cotes numerical integration rules. Second, we propose a computationally efficient method for finding the H2-optimal delay pattern, which uses dynamic programming on multistage graphs. Third, we propose a convex optimization approach, based on ℓ1 heuristics, of reducing the number of delays under hard bounds on the H∞-norm of the approximation error. Numerical simulations demonstrate efficiency of the proposed algorithms.

Detaljer

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

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Nyckelord

Originalspråkengelska
Titel på värdpublikation[Host publication title missing]
FörlagIEEE - Institute of Electrical and Electronics Engineers Inc.
Sidor294-299
Antal sidor6
StatusPublished - 2013
PublikationskategoriForskning
Peer review utfördJa
Evenemang52nd IEEE Conference on Decision and Control, 2013 - Florence, Italien
Varaktighet: 2013 dec 102013 dec 13
Konferensnummer: 52
http://www.ieeecss.org/CAB/conferences/cdc2013/

Konferens

Konferens52nd IEEE Conference on Decision and Control, 2013
Förkortad titelcdc2013
LandItalien
OrtFlorence
Period2013/12/102013/12/13
Internetadress