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LQR Optimization of Linear System Switching

Lincoln, Bo LU and Bernhardsson, Bo LU orcid (2002) In IEEE Transactions on Automatic Control 47(10). p.1701-1705
Abstract
This paper considers off-line optimization of a switching sequence fora given finite set of linear control systems, together with joint optimization ofcontrol laws. A linear quadratic full information criterion isoptimized and dynamic programming is used to find an optimalswitching sequence and control law. The main result is a method forefficient pruning of the search tree to avoid combinatoric explosion.A method to prove optimality of a found candidate switch sequence andcorresponding control laws is presented.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hybrid systems, optimal control, scheduling
in
IEEE Transactions on Automatic Control
volume
47
issue
10
pages
1701 - 1705
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000178571500012
  • scopus:0036806002
ISSN
0018-9286
DOI
10.1109/TAC.2002.803539
language
English
LU publication?
yes
id
14a54e3f-e779-4a58-8480-3943d44f7f92 (old id 161975)
date added to LUP
2016-04-01 15:37:57
date last changed
2022-04-14 23:07:43
@article{14a54e3f-e779-4a58-8480-3943d44f7f92,
  abstract     = {{This paper considers off-line optimization of a switching sequence fora given finite set of linear control systems, together with joint optimization ofcontrol laws. A linear quadratic full information criterion isoptimized and dynamic programming is used to find an optimalswitching sequence and control law. The main result is a method forefficient pruning of the search tree to avoid combinatoric explosion.A method to prove optimality of a found candidate switch sequence andcorresponding control laws is presented.}},
  author       = {{Lincoln, Bo and Bernhardsson, Bo}},
  issn         = {{0018-9286}},
  keywords     = {{Hybrid systems; optimal control; scheduling}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{1701--1705}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{LQR Optimization of Linear System Switching}},
  url          = {{https://lup.lub.lu.se/search/files/4436626/625668.pdf}},
  doi          = {{10.1109/TAC.2002.803539}},
  volume       = {{47}},
  year         = {{2002}},
}