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Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach

Barabanov, A. and Ghulchak, Andrey LU (2000) 5. p.4227-4232
Abstract
A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
control, H∞, Fourier transforms, closed loop systems delay systems linear systems multidimensional systems stability, algebra
host publication
Proceedings of the 39th IEEE Conference on Decision and Control, 2000.
volume
5
pages
4227 - 4232
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0034440335
ISBN
0-7803-6638-7
DOI
10.1109/CDC.2001.914562
language
English
LU publication?
yes
id
47fa769b-dbf9-406b-bfd7-1292f4fd3353 (old id 537988)
date added to LUP
2016-04-04 10:33:34
date last changed
2022-01-29 20:26:14
@inproceedings{47fa769b-dbf9-406b-bfd7-1292f4fd3353,
  abstract     = {{A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example}},
  author       = {{Barabanov, A. and Ghulchak, Andrey}},
  booktitle    = {{Proceedings of the 39th IEEE Conference on Decision and Control, 2000.}},
  isbn         = {{0-7803-6638-7}},
  keywords     = {{control; H∞; Fourier transforms; closed loop systems    delay systems    linear systems    multidimensional systems    stability; algebra}},
  language     = {{eng}},
  pages        = {{4227--4232}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach}},
  url          = {{https://lup.lub.lu.se/search/files/5567412/625730.pdf}},
  doi          = {{10.1109/CDC.2001.914562}},
  volume       = {{5}},
  year         = {{2000}},
}