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

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 Int. J. 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.

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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: 18 Jul 2017 10:43

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Contributors

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

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