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Optimal realizations of floating-point implemented digital controllers with finite word length considerations.

By J. Wu, S. Chen, James F. Whidborne and J. Chu

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

Publisher: Taylor & Francis
Year: 2004
DOI identifier: 10.1080/0020717042000208296
OAI identifier: oai:dspace.lib.cranfield.ac.uk:1826/1237
Provided by: Cranfield CERES
Journal:

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