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
August 2002
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.
13 - 15 Aug 2002.
.
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.
Text
ccc2002
- Author's Original
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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, 2002-08-13 - 2002-08-15
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
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Date deposited: 04 Sep 2002
Last modified: 14 Mar 2024 05:47
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Contributors
Author:
J. Wu
Author:
S. Chen
Author:
J. Chu
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