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Please use this identifier to cite or link to this item: http://dspace.lib.cranfield.ac.uk/handle/1826/1237

Document Type: Article
Title: Optimal realizations of floating-point implemented digital controllers with finite word length considerations.
Authors: Wu, J.
Chen, S.
Whidborne, James F.
Chu, J.
Issue Date: 2004
Citation: Jun Wu, Sheng Chen, James F. Whidborne, Jian Chu, Optimal realizations of floating-point implemented digital controllers with finite word length considerations, International Journal of Control, Volume 77, Issue 5, Mar 2004, Pages 427 - 440
Abstract: The closed-loop stability issue of finite word length (FWL) 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 analysed 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.
URI: http://dx.doi.org/10.1080/0020717042000208296
Appears in Collections:Staff publications - School of Engineering

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