The University of Southampton
University of Southampton Institutional Repository

Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance

Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance
Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance
Repetitive processes are characterized by a series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an H? and $\ell_{2}–\ell_{\infty}$ dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by $H_{\infty}$ and $\ell_{2}$–$\ell_{\infty}$ norms.
235-264
Wu, L
7944d7f8-4562-4ad5-80a0-adbaa7b3a404
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Wu, L
7944d7f8-4562-4ad5-80a0-adbaa7b3a404
Lam, J
56f6bc38-7d72-40f2-afde-20ff749c9dd4
Paszke, W
7f08c6f0-79bf-40d9-8957-17581bbb8687
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72

Wu, L, Lam, J, Paszke, W, Galkowski, K and Rogers, E (2009) Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance. Multidimensional Systems and Signal Processing, 20, 235-264.

Record type: Article

Abstract

Repetitive processes are characterized by a series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an H? and $\ell_{2}–\ell_{\infty}$ dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by $H_{\infty}$ and $\ell_{2}$–$\ell_{\infty}$ norms.

PDF
mdssp09a.pdf - Other
Download (1MB)

More information

Published date: 2009
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 265768
URI: https://eprints.soton.ac.uk/id/eprint/265768
PURE UUID: 8d842dd9-3c17-4f1d-8613-6473a76f25b8

Catalogue record

Date deposited: 21 May 2008 07:25
Last modified: 18 Jul 2017 07:23

Export record

Contributors

Author: L Wu
Author: J Lam
Author: W Paszke
Author: K Galkowski
Author: E Rogers

University divisions

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

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 https://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.

×