The University of Southampton
University of Southampton Institutional Repository

A performance comparison of robust adaptive controllers: linear systems

A performance comparison of robust adaptive controllers: linear systems
A performance comparison of robust adaptive controllers: linear systems
We consider robust adaptive control designs for relative degree one, minimum phase linear systems of known high frequency gain. The designs are based on the dead-zone and projection modifications, and we compare their performance w.r.t. a worst case transient cost functional with a penalty on the L norm of the output, control and control derivative. We establish two qualitative results. If a bound on the L norm of the disturbance is known and the known a priori bound on the uncertainty level is sufficiently conservative, then it is shown that a dead-zone controller outperforms a projection controller. The complementary result shows that the projection controller is superior to the dead-zone controller when the a priori information on the disturbance level is sufficiently conservative.
robust adaptive control, non-singular performance
369-394
Sanei, Ahmad
042e46fb-8c86-464c-a7a7-c1c59e8f4ce9
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8
Sanei, Ahmad
042e46fb-8c86-464c-a7a7-c1c59e8f4ce9
French, Mark
22958f0e-d779-4999-adf6-2711e2d910f8

Sanei, Ahmad and French, Mark (2006) A performance comparison of robust adaptive controllers: linear systems. Mathematics of Control, Signals, and Systems (MCSS), 18 (4), 369-394. (doi:10.1007/s00498-006-0005-1).

Record type: Article

Abstract

We consider robust adaptive control designs for relative degree one, minimum phase linear systems of known high frequency gain. The designs are based on the dead-zone and projection modifications, and we compare their performance w.r.t. a worst case transient cost functional with a penalty on the L norm of the output, control and control derivative. We establish two qualitative results. If a bound on the L norm of the disturbance is known and the known a priori bound on the uncertainty level is sufficiently conservative, then it is shown that a dead-zone controller outperforms a projection controller. The complementary result shows that the projection controller is superior to the dead-zone controller when the a priori information on the disturbance level is sufficiently conservative.

Text
French_mcss2006_published.pdf - Version of Record
Restricted to Repository staff only
Request a copy
Text
mcss-r12.pdf - Other
Download (241kB)

More information

Published date: October 2006
Keywords: robust adaptive control, non-singular performance
Organisations: Electronics & Computer Science, ISIS

Identifiers

Local EPrints ID: 259305
URI: http://eprints.soton.ac.uk/id/eprint/259305
PURE UUID: 0c1d7652-a1a3-47e4-a94d-ddd14f162d53

Catalogue record

Date deposited: 30 Apr 2004
Last modified: 14 Mar 2024 06:23

Export record

Altmetrics

Contributors

Author: Ahmad Sanei
Author: Mark French

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 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.

×