CLC number: O224
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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WU Jun, HU Xie-he, CHEN Sheng, CHU Jian. Optimization of block floating point realizations for digital controllers with finite word length considerations[J]. Journal of Zhejiang University Science A, 2003, 4(6): 651-657.
@article{title="Optimization of block floating point realizations for digital controllers with finite word length considerations",
author="WU Jun, HU Xie-he, CHEN Sheng, CHU Jian",
journal="Journal of Zhejiang University Science A",
volume="4",
number="6",
pages="651-657",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0651"
}
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%T Optimization of block floating point realizations for digital controllers with finite word length considerations
%A WU Jun
%A HU Xie-he
%A CHEN Sheng
%A CHU Jian
%J Journal of Zhejiang University SCIENCE A
%V 4
%N 6
%P 651-657
%@ 1869-1951
%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0651
TY - JOUR
T1 - Optimization of block floating point realizations for digital controllers with finite word length considerations
A1 - WU Jun
A1 - HU Xie-he
A1 - CHEN Sheng
A1 - CHU Jian
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 6
SP - 651
EP - 657
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0651
Abstract: The closed-loop stability issue of finite-precision realizations was investigated for digital controllers implemented in block-floating-point format. The controller coefficient perturbation was analyzed resulting from using finite word length (FWL) block-floating-point representation scheme. A block-floating-point FWL closed-loop stability measure was derived which considers both the dynamic range and precision. To facilitate the design of optimal finite-precision controller realizations, a computationally tractable block-floating-point FWL closed-loop stability measure was then introduced and the method of computing the value of this measure for a given controller realization was developed. The optimal controller realization is defined as the solution that maximizes the corresponding measure, and a numerical optimization approach was adopted to solve the resulting optimal realization problem. A numerical example was used to illustrate the design procedure and to compare the optimal controller realization with the initial realization.
[1]Fialho, I.J.and Georgiou, T.T., 1994.On stability and performance of sampled-data systems subject to wordlength constraint.IEEE Trans.Automatic Control, 39(12): 2476-2481.
[2]Fialho, I.J.and Georgiou, T.T., 1999.Optimal Finite Wordlength Digital Controller Realization.Proc.American Control Conf., San Diego, p.4326-4327.
[3]Gevers, M.and Li, G., 1993.Parameterizations in Control, Estimation and Filtering Problems: Accuracy Aspects.Springer Verlag, London.
[4]Istepanian, R.S.H., Whidborne, J.F.and Bauer, P., 2000.Stability Analysis of Block Floating Point Digital Controllers.Proc.UKACC Int.Conf.Control, Cambridge, CD-ROM, 6 pages.
[5]Istepanian, R.S.H.and Whidborne, J.F., 2001.Digital Controller Implementation and Fragility: A Modern Perspective.Springer Verlag, London.
[6]Keel, L.H.and Bhattacharryya, S.P., 1997.Robust, fragile, or optimal? IEEE Trans.Automatic Control, 42(8): 1098-1105.
[7]Li, G., 1998.On the structure of digital controllers with finite word length consideration.IEEE Trans.Automatic Control, 43(5): 689-693.
[8]Whidborne, J.F., Wu, J.and Istepanian, R.S.H., 2000. Finite word length stability issues in an l1 framework.Int.J.Control, 73(2): 166-176.
[9]Whidborne, J.F., Istepanian, R.S.H.and Wu, J., 2001.Reduction of controller fragility by pole sensitivity minimization.IEEE Trans.Automatic Control, 46(2): 320-325.
[10]Whidborne, J.F.and Gu, D., 2001.Optimal finite-precision controller and filter realizations using floating-point arithmetic.King's College London Mechanical Engineering Department Report EM/2001/07, London.
[11]Wu, J., Chen, S., Li, G., Istepanian, R.S.H.and Chu, J., 2001.An improved closed-loop stability related measure for finite-precision digital controller realizations.IEEE Trans.Automatic Control, 46(7): 1162-1166.
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