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Optimal finite-precision controller realizations in block-floating-point format

Optimal finite-precision controller realizations in block-floating-point format
Optimal finite-precision controller realizations in block-floating-point format
The paper analyzes the properties of the controller coefficient perturbation resulting from using finite word length (FWL) block-floating-point arithmetic and investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in block-floating-point format. A true FWL closed-loop stability measure is derived which considers both the dynamic range and precision of number representation in block-floating-point format. To facilitate the design of optimal finite-precision controller realizations, a computationally tractable FWL block-floating-point closed-loop stability measure is introduced and the method of computing the value of this measure for a given controller realization is developed. The optimal controller realization is defined as the solution that maximizes the proposed measure, and a numerical optimization approach is adopted to solve for the resulting optimal realization problem. A numerical example is used to illustrate the proposed design procedure.
387-393
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S. and Chu, J. (2002) Optimal finite-precision controller realizations in block-floating-point format. 21th Chinese Control Conference, Hangzhou, China. 12 - 14 Aug 2002. pp. 387-393 .

Record type: Conference or Workshop Item (Other)

Abstract

The paper analyzes the properties of the controller coefficient perturbation resulting from using finite word length (FWL) block-floating-point arithmetic and investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in block-floating-point format. A true FWL closed-loop stability measure is derived which considers both the dynamic range and precision of number representation in block-floating-point format. To facilitate the design of optimal finite-precision controller realizations, a computationally tractable FWL block-floating-point closed-loop stability measure is introduced and the method of computing the value of this measure for a given controller realization is developed. The optimal controller realization is defined as the solution that maximizes the proposed measure, and a numerical optimization approach is adopted to solve for the resulting optimal realization problem. A numerical example is used to illustrate the proposed design procedure.

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More information

Published date: August 2002
Additional Information: Presented at 21th Chinese Control Conference (Hangzhou, China), Aug.13-15, 2002 Event Dates: August 13-15
Venue - Dates: 21th Chinese Control Conference, Hangzhou, China, 2002-08-12 - 2002-08-14
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256735
URI: http://eprints.soton.ac.uk/id/eprint/256735
PURE UUID: 17b5618e-fb26-4df5-82f3-61652e90910e

Catalogue record

Date deposited: 04 Sep 2002
Last modified: 21 Jan 2022 17:34

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Contributors

Author: J. Wu
Author: S. Chen
Author: J. Chu

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