The University of Southampton
×
Filter your search:
University of Southampton Institutional Repository

Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems

Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems
Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems
This paper considers a class of linear discrete-time 2D systems in the form of repetitive processes with uncertain parameters. Using LQR theory ideas a parametric description of stabilizing controls using output feedback is developed, which leads to the development of efficient LMI-based algorithms for computation of the gain matrix. The results are extended to repetitive processes with Markovian jumps, and a numerical example is given to demonstrate the application of the algorithm developed to the synthesis of stabilizing control laws.
2364-2378
Pakshin, P V
b49d7402-75eb-4915-9106-870574fb7c60
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Pakshin, P V
b49d7402-75eb-4915-9106-870574fb7c60
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72

Pakshin, P V, Galkowski, K and Rogers, E (2011) Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems. Automation and Remote Control, 72 (11), 2364-2378.

Record type: Article

Abstract

This paper considers a class of linear discrete-time 2D systems in the form of repetitive processes with uncertain parameters. Using LQR theory ideas a parametric description of stabilizing controls using output feedback is developed, which leads to the development of efficient LMI-based algorithms for computation of the gain matrix. The results are extended to repetitive processes with Markovian jumps, and a numerical example is given to demonstrate the application of the algorithm developed to the synthesis of stabilizing control laws.

Text
PGR_Letov_eng_mod_(3).pdf - Other
Download (344kB)
Text
automationand remotecontrol.pdf - Other
Download (211kB)

More information

Published date: 2011
Learn more about Southampton Wireless Group research

Identifiers

Local EPrints ID: 272441
URI: http://eprints.soton.ac.uk/id/eprint/272441
PURE UUID: 50238215-d4a2-4d90-9dd1-4a0377d7350f
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 12 Jun 2011 10:01
Last modified: 15 Mar 2024 02:42

Export record

Contributors

Author: P V Pakshin
Author: K Galkowski
Author: E Rogers ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Library staff additional information
Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×