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Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations

Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations
Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations
The closed-loop stability issue of finite-precision realizations is investigated for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point implementation 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 implementation. A computationally tractable FWL closed-loop stability measure is then defined, and the method of computing the value of this measure is given. The optimal controller realization problem is posed as searching for a floating-point realization that maximizes the proposed FWL closed-loop stability measure, and a numerical optimization technique 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.
0020-3270
427-440
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Whidborne, J.F.
9b1b6066-a72e-46e3-966c-9bc2cca6e6da
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
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. (2004) Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations. International Journal of Control, 77 (5), 427-440.

Record type: Article

Abstract

The closed-loop stability issue of finite-precision realizations is investigated for digital controllers implemented in floating-point arithmetic. Unlike the existing methods which only address the effect of the mantissa bits in floating-point implementation 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 implementation. A computationally tractable FWL closed-loop stability measure is then defined, and the method of computing the value of this measure is given. The optimal controller realization problem is posed as searching for a floating-point realization that maximizes the proposed FWL closed-loop stability measure, and a numerical optimization technique 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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Published date: March 2004
Additional Information: submitted for publication in July 2003
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 259263
URI: https://eprints.soton.ac.uk/id/eprint/259263
ISSN: 0020-3270
PURE UUID: 3fda0fc4-ef76-4d81-a9c7-42c0bd1b62c4

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Date deposited: 16 Apr 2004
Last modified: 19 Jul 2019 22:40

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