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Dead-beat control and the Riccati equation

Leden, Bo (1976) In IEEE Transactions on Automatic Control 21(5). p.791-792
Abstract
Connections between dead-beat control strategies and optimal control policies for linear, time-invariant, discrete-time systems are established. The performance index of the system is quadratic and only the terminal state of the system is penalized. An explicit solution to the singular Riccati equation, associated with this optimization problem, is given. Properties of the time-variable gain matrices, generating the optimal cantrol policy, are presented. In particular, necessary and sufficient conditions for each of these gain matrices to be a time-invariant deadbeat controller are given.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Automatic Control
volume
21
issue
5
pages
791 - 792
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0017007682
ISSN
0018-9286
DOI
10.1109/TAC.1976.1101318
language
English
LU publication?
no
id
79e4b887-157c-4504-94b9-b7d2061fa6d6
date added to LUP
2018-12-27 06:24:34
date last changed
2021-08-29 04:26:06
@article{79e4b887-157c-4504-94b9-b7d2061fa6d6,
  abstract     = {{Connections between dead-beat control strategies and optimal control policies for linear, time-invariant, discrete-time systems are established. The performance index of the system is quadratic and only the terminal state of the system is penalized. An explicit solution to the singular Riccati equation, associated with this optimization problem, is given. Properties of the time-variable gain matrices, generating the optimal cantrol policy, are presented. In particular, necessary and sufficient conditions for each of these gain matrices to be a time-invariant deadbeat controller are given.}},
  author       = {{Leden, Bo}},
  issn         = {{0018-9286}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{791--792}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{Dead-beat control and the Riccati equation}},
  url          = {{http://dx.doi.org/10.1109/TAC.1976.1101318}},
  doi          = {{10.1109/TAC.1976.1101318}},
  volume       = {{21}},
  year         = {{1976}},
}