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.
427-440
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
March 2004
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.
(2004)
Optimal Realizations of Floating-Point Implemented Digital Controllers with Finite Word Length Considerations.
International Journal of Control, 77 (5), .
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: http://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: 14 Mar 2024 06:22
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Author:
J. Wu
Author:
S. Chen
Author:
J.F. Whidborne
Author:
J. Chu
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