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Sparse controller realization with small roundoff noise

Sparse controller realization with small roundoff noise
Sparse controller realization with small roundoff noise
In this paper, the effect of roundoff noise in a digital controller is analyzed for a digital feedback control system. An analytical expression for the roundoff noise gain, defined as the ratio between the variances of the output error and the rounding error, is obtained. The problem of identifying the minimum roundoff noise realizations can be solved using an existing procedure. Noting that the optimal realizations are fully parametrized, based on a polynomial operator approach a new sparse controller realization is derived. This realization is a generalization of the direct forms in the classical shift operator and the prevailing delta operator. It provides us more degrees of freedom to reduce the roundoff noise. The problem of finding optimal polynomial operators can be solved with exhaustive search, and a design example is given. It is shown that with the proposed sparse realization the optimal polynomial operators can outperform the shift- and delta-operators.
1350-2379
246-251
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53

Li, G., Wu, J. and Chen, S. (2004) Sparse controller realization with small roundoff noise. Control Theory and Applications, IEE Proceedings, 151 (2), 246-251.

Record type: Article

Abstract

In this paper, the effect of roundoff noise in a digital controller is analyzed for a digital feedback control system. An analytical expression for the roundoff noise gain, defined as the ratio between the variances of the output error and the rounding error, is obtained. The problem of identifying the minimum roundoff noise realizations can be solved using an existing procedure. Noting that the optimal realizations are fully parametrized, based on a polynomial operator approach a new sparse controller realization is derived. This realization is a generalization of the direct forms in the classical shift operator and the prevailing delta operator. It provides us more degrees of freedom to reduce the roundoff noise. The problem of finding optimal polynomial operators can be solved with exhaustive search, and a design example is given. It is shown that with the proposed sparse realization the optimal polynomial operators can outperform the shift- and delta-operators.

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Published date: March 2004
Organisations: Southampton Wireless Group

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Local EPrints ID: 259255
URI: https://eprints.soton.ac.uk/id/eprint/259255
ISSN: 1350-2379
PURE UUID: 69eeb8bb-dcd7-4ac1-b648-bbb790f526f8

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Date deposited: 14 Apr 2004
Last modified: 18 Jul 2017 09:24

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