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Two approaches based on pole sensitivity and stability radius measures for finite precision digital controller realizations

Two approaches based on pole sensitivity and stability radius measures for finite precision digital controller realizations
Two approaches based on pole sensitivity and stability radius measures for finite precision digital controller realizations
This paper compares the two approaches based on pole sensitivity and the complex stability radius measures, respectively, for optimizing the closed-loop stability robustness of digital controllers with respect to finite word length (FWL) errors in fixed-point implementation. Design details and related optimization procedures are derived for the two methods. The two measures, although derived from different motivations, can both be regarded as lower-bound measures of a true but computationally intractable FWL stability measure in some senses. An example is used to verify the theoretical analysis and to illustrate the two designs for determining optimal FWL controller realizations.
321-329
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431

Chen, S., Wu, J. and Li, G. (2002) Two approaches based on pole sensitivity and stability radius measures for finite precision digital controller realizations. Systems & Control Letters, 45 (4), 321-329.

Record type: Article

Abstract

This paper compares the two approaches based on pole sensitivity and the complex stability radius measures, respectively, for optimizing the closed-loop stability robustness of digital controllers with respect to finite word length (FWL) errors in fixed-point implementation. Design details and related optimization procedures are derived for the two methods. The two measures, although derived from different motivations, can both be regarded as lower-bound measures of a true but computationally intractable FWL stability measure in some senses. An example is used to verify the theoretical analysis and to illustrate the two designs for determining optimal FWL controller realizations.

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Published date: March 2002
Additional Information: submitted for publication in August 2000, accepted in Aug. 2001
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 253796
URI: http://eprints.soton.ac.uk/id/eprint/253796
PURE UUID: 44094cad-0ab7-430d-8fbd-6b9458786a6b

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Date deposited: 03 Apr 2002
Last modified: 09 Dec 2019 20:19

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