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CLC number: O224
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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Optimization of block floating point realizations for digital controllers with finite word length considerations
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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
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%N 6
%P 651-657
%@ 1869-1951
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%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
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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.
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