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Optimal floating-point realizations of finite-precision digital controllers

Optimal floating-point realizations of finite-precision digital controllers
Optimal floating-point realizations of finite-precision digital controllers
The paper investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point format to the sensitivity of closed-loop stability, the sensitivity of closed-loop stability is analyzed with respect to both the mantissa and exponent bits of floating-point format. A computationally tractable finite word length (FWL) closed-loop stability measure is defined, and the optimal controller realization problem is posed as searching for a floating-point realization that maximizes the proposed measure. A numerical optimization approach is adopted to solve for the resulting optimization problem. Simulation results show that the proposed design procedure yields computationally efficient controller realizations with enhanced FWL closed-loop stability performance.
2570-2575
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Whidborne, J.F.
9b1b6066-a72e-46e3-966c-9bc2cca6e6da
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Whidborne, J.F.
9b1b6066-a72e-46e3-966c-9bc2cca6e6da
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S., Whidborne, J.F. and Chu, J. (2002) Optimal floating-point realizations of finite-precision digital controllers. 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, United States. 10 - 13 Dec 2002. pp. 2570-2575 .

Record type: Conference or Workshop Item (Other)

Abstract

The paper investigates the closed-loop stability issue of finite-precision realizations for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point format to the sensitivity of closed-loop stability, the sensitivity of closed-loop stability is analyzed with respect to both the mantissa and exponent bits of floating-point format. A computationally tractable finite word length (FWL) closed-loop stability measure is defined, and the optimal controller realization problem is posed as searching for a floating-point realization that maximizes the proposed measure. A numerical optimization approach is adopted to solve for the resulting optimization problem. Simulation results show that the proposed design procedure yields computationally efficient controller realizations with enhanced FWL closed-loop stability performance.

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More information

Published date: December 2002
Additional Information: presented at IEEE Int. Conf. Decision and Control (Las Vegas, USA), Dec.10-13, 2002 Event Dates: December 10-13, 2002 Organisation: IEEE Control Systems Society
Venue - Dates: 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, United States, 2002-12-10 - 2002-12-13
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 257201
URI: http://eprints.soton.ac.uk/id/eprint/257201
PURE UUID: 9846fe85-a205-4645-a3d0-ae4349dfee31

Catalogue record

Date deposited: 31 Jan 2003
Last modified: 20 Jan 2022 17:35

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Contributors

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

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