Predictive control of fast-sampled systems using the delta-operator

Authors:
V. Kadirkamanathan;C. Halauca;S. R. Anderson
Affiliations:
University of Sheffield, Automatic Control and Systems Engineering, Sheffield, United Kingdom;Gh. Asachi Technical University of Iasi, Department of Automatic Control and Applied Informatics, Iasi, Romania;University of Sheffield, Centre for Signal Processing in Neuroimaging and Systems Neuroscience, Dept. of Psychology, Sheffield, United Kingdom
Venue:
International Journal of Systems Science
Year:
2009

Citing 16
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Abstract

This article formulates a δ-operator Generalised Predictive Control (GPC) framework for models described in state-space: an SS-delta-GPC algorithm. Currently such a description is unavailable, although similar approaches have been made from the perspective of using the discrete gradient approximations as an emulator of the continuous-time system. The SS-delta-GPC algorithm is demonstrated to improve on the round-off errors encountered when using the shift-operator under conditions of fast-sampling and finite word lengths.