The University of Southampton
University of Southampton Institutional Repository

One to one mapping and its application to neural network based control system design

One to one mapping and its application to neural network based control system design
One to one mapping and its application to neural network based control system design
This paper introduces a one-to-one mapping and presents its application to the modelling and control of a specific class of nonlinear systems whose linear parameters are unknown nonlinear functions of the measurable operating points, which can be either bounded or unbounded. The idea is to use a continuous, monotonic and invertible one-to-one mapping to transfer the unbounded definition domain of the nonlinear unknown function into a bounded open set, which can be further covered by a bounded closed set (compactness). As a result, the original nonlinear function can be regarded as a new function defined on the bounded closed set and a B-spline neural network can then be used to model individual parameters. The limitations on the boundedness of the operation range can therefore be removed without including a sliding mode frame. To demonstrate the applicability of the proposed method, a d-step-ahead controller is constructed and it can be shown that the stability of the closed loop system is guaranteed. Finally, an application to the control of machine direction (MD) grammage in a paper machine is discussed and desirable simulation results are obtained.
161--170
Wang, H.
d23f04f1-a300-4744-bd98-2df77c7047df
Wang, A.P.
6c01ce14-77b3-4c51-98b0-5d260d03ba42
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049
Harris, C.J.
c4fd3763-7b3f-4db1-9ca3-5501080f797a
Wang, H.
d23f04f1-a300-4744-bd98-2df77c7047df
Wang, A.P.
6c01ce14-77b3-4c51-98b0-5d260d03ba42
Brown, M.
52cf4f52-6839-4658-8cc5-ec51da626049
Harris, C.J.
c4fd3763-7b3f-4db1-9ca3-5501080f797a

Wang, H., Wang, A.P., Brown, M. and Harris, C.J. (1996) One to one mapping and its application to neural network based control system design. International Journal of Systems Science, 27 (2), 161--170.

Record type: Article

Abstract

This paper introduces a one-to-one mapping and presents its application to the modelling and control of a specific class of nonlinear systems whose linear parameters are unknown nonlinear functions of the measurable operating points, which can be either bounded or unbounded. The idea is to use a continuous, monotonic and invertible one-to-one mapping to transfer the unbounded definition domain of the nonlinear unknown function into a bounded open set, which can be further covered by a bounded closed set (compactness). As a result, the original nonlinear function can be regarded as a new function defined on the bounded closed set and a B-spline neural network can then be used to model individual parameters. The limitations on the boundedness of the operation range can therefore be removed without including a sliding mode frame. To demonstrate the applicability of the proposed method, a d-step-ahead controller is constructed and it can be shown that the stability of the closed loop system is guaranteed. Finally, an application to the control of machine direction (MD) grammage in a paper machine is discussed and desirable simulation results are obtained.

This record has no associated files available for download.

More information

Published date: 1996
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 250286
URI: http://eprints.soton.ac.uk/id/eprint/250286
PURE UUID: 277410ca-a76b-4014-a72f-8541650e8584

Catalogue record

Date deposited: 04 May 1999
Last modified: 08 Jan 2022 11:44

Export record

Contributors

Author: H. Wang
Author: A.P. Wang
Author: M. Brown
Author: C.J. Harris

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.

×