Dead-beat control and the Riccati equation
(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.
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https://lup.lub.lu.se/record/79e4b887-157c-4504-94b9-b7d2061fa6d6
- author
- Leden, Bo
- publishing date
- 1976
- 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}}, }