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An improved closed-loop stability related measure for finite-precision digital controller realizations

An improved closed-loop stability related measure for finite-precision digital controller realizations
An improved closed-loop stability related measure for finite-precision digital controller realizations
The pole-sensitivity approach is employed to investigate the stability issue of the discrete-time control system, where a digital controller, implemented with finite word length (FWL), is used. A new stability related measure is derived, which is more accurate in estimating the closed-loop stability robustness of an FWL implemented controller than some existing measures for the pole-sensitivity analysis. This improved stability measure thus provides a better criterion to find the optimal realizations for a generic controller structure that includes output-feedback and observer-based controllers. A numerical example is used to verify the theoretical analysis and to illustrate the design procedure.
0018-9286
1162-1166
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S., Li, G., Istepanian, R. H. and Chu, J. (2001) An improved closed-loop stability related measure for finite-precision digital controller realizations. IEEE Transactions on Automatic Control, 46 (7), 1162-1166.

Record type: Article

Abstract

The pole-sensitivity approach is employed to investigate the stability issue of the discrete-time control system, where a digital controller, implemented with finite word length (FWL), is used. A new stability related measure is derived, which is more accurate in estimating the closed-loop stability robustness of an FWL implemented controller than some existing measures for the pole-sensitivity analysis. This improved stability measure thus provides a better criterion to find the optimal realizations for a generic controller structure that includes output-feedback and observer-based controllers. A numerical example is used to verify the theoretical analysis and to illustrate the design procedure.

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More information

Published date: July 2001
Additional Information: submitted in May 2000, revised in Sept. 2000 and Jan. 2001, accepted in Feb. 2001
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 253306
URI: http://eprints.soton.ac.uk/id/eprint/253306
ISSN: 0018-9286
PURE UUID: 712e931d-dc85-405d-a53d-d34106b3e818

Catalogue record

Date deposited: 06 Sep 2001
Last modified: 04 Nov 2019 20:55

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