The University of Southampton
University of Southampton Institutional Repository

Shift and delta operator realizations for digital controllers with finite-word-length considerations

Shift and delta operator realizations for digital controllers with finite-word-length considerations
Shift and delta operator realizations for digital controllers with finite-word-length considerations
This paper addresses implementation issues of digital controllers with finite word length (FWL) considerations. Both the shift and delta operator parameterizations of a general controller structure are considered. A unified formulation is adopted to derive a computationally tractable stability related measure that describes FWL closed-loop stability characteristics of different controller realizations. Within a given operator parameterization, the optimal FWL controller realization, which maximizes the proposed stability related measure, is the solution of a nonlinear optimization problem. Relationship between the $z$-operator and $\delta$-operator controller parameterizations is analyzed, and it is shown that the $\delta$ parameterization has better FWL closed-loop stability margin than the $z$ domain approach under a mild condition. A design example is included to verify the theoretical analysis and to illustrate the proposed optimization procedure.
1350-2379
664-672
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R.H.
f512e6a3-c2ce-4288-8b5f-d32995b8e1c0
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R.H.
f512e6a3-c2ce-4288-8b5f-d32995b8e1c0
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S., Li, G., Istepanian, R.H. and Chu, J. (2000) Shift and delta operator realizations for digital controllers with finite-word-length considerations. Control Theory and Applications, IEE Proceedings, 147 (6), 664-672.

Record type: Article

Abstract

This paper addresses implementation issues of digital controllers with finite word length (FWL) considerations. Both the shift and delta operator parameterizations of a general controller structure are considered. A unified formulation is adopted to derive a computationally tractable stability related measure that describes FWL closed-loop stability characteristics of different controller realizations. Within a given operator parameterization, the optimal FWL controller realization, which maximizes the proposed stability related measure, is the solution of a nonlinear optimization problem. Relationship between the $z$-operator and $\delta$-operator controller parameterizations is analyzed, and it is shown that the $\delta$ parameterization has better FWL closed-loop stability margin than the $z$ domain approach under a mild condition. A design example is included to verify the theoretical analysis and to illustrate the proposed optimization procedure.

Text
IEECTA2000-147-6 - Author's Original
Download (807kB)
Other
FOBzd.ps - Other
Download (372kB)

More information

Published date: November 2000
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 251382
URI: http://eprints.soton.ac.uk/id/eprint/251382
ISSN: 1350-2379
PURE UUID: cf5a17cb-36d0-4d1c-ac38-7976f05ce94d

Catalogue record

Date deposited: 27 Nov 2000
Last modified: 27 Jan 2022 19:19

Export record

Contributors

Author: J. Wu
Author: S. Chen
Author: G. Li
Author: R.H. Istepanian
Author: J. Chu

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.

×