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Toward a More Efficient Implementation of Distributed-Delay Elements

Troeng, Olof LU and Mirkin, Leonid (2013) 52nd IEEE Conference on Decision and Control, 2013 In [Host publication title missing] p.294-299
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Numerical methods, Time-delay systems, Dead-time compensation
in
[Host publication title missing]
pages
6 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
52nd IEEE Conference on Decision and Control, 2013
external identifiers
  • scopus:84902354705
language
English
LU publication?
yes
id
f8dc14c0-e2df-435a-9ee7-0c1b10b31c58 (old id 5045775)
date added to LUP
2015-02-11 09:40:25
date last changed
2017-03-26 04:33:14
@inproceedings{f8dc14c0-e2df-435a-9ee7-0c1b10b31c58,
  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.},
  author       = {Troeng, Olof and Mirkin, Leonid},
  booktitle    = {[Host publication title missing]},
  keyword      = {Numerical methods,Time-delay systems,Dead-time compensation},
  language     = {eng},
  pages        = {294--299},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Toward a More Efficient Implementation of Distributed-Delay Elements},
  year         = {2013},
}