Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic.
| dc.contributor.author | Whidborne, James F. | - |
| dc.contributor.author | Gu, Da-Wei | - |
| dc.contributor.author | Wu, Jun | - |
| dc.contributor.author | Chen, Sheng | - |
| dc.date.accessioned | 2011-11-13T23:27:30Z | |
| dc.date.available | 2011-11-13T23:27:30Z | |
| dc.date.issued | 2005-06-01T00:00:00Z | - |
| dc.description.abstract | The problem of reducing the fragility of digital controllers and filters implemented using finite-precision, floating-point arithmetic is considered. Floating-point arithmetic parameter uncertainty is multiplicative, unlike parameter uncertainty resulting from fixed-point arithmetic. Based on first- order eigenvalue sensitivity analysis, an upper bound on the eigenvalue perturbations is derived. Consequently, open-loop and closed-loop eigenvalue sensitivity measures are proposed. These measures are dependent upon the filter/ controller realization. Problems of obtaining the optimal realization with respect to both the open-loop and the closed-loop eigenvalue sensitivity measures are posed. The problem for the open-loop case is completely solved. Solutions for the closed-loop case are obtained using non-linear programming. The problems are illustrated with a numerical example. | en_UK |
| dc.identifier.citation | James F. Whidborne, Da-Wei Gu, Jun Wu, Sheng Chen. Optimal Controller and Filter Realisations using Finite-precision, Floating-point Arithmetic. International Journal of Systems Science. 10 June, 2005, Vol 36 Iss 7, p405-413 | - |
| dc.identifier.issn | 0020-7721 | - |
| dc.identifier.uri | http://dx.doi.org/10.1080/00207720500148378 | - |
| dc.identifier.uri | http://dspace.lib.cranfield.ac.uk/handle/1826/1234 | |
| dc.publisher | Taylor & Francis | en_UK |
| dc.rights | This is a preprint of an article whose final and definitive form has been published in the International Journal of Systems Science (C)2005 Taylor & Francis; International Journal of Systems Science is available online at: http://www.informaworld.com/ DOI: 10.1080/00207720500148378 | |
| dc.subject | Finite-precision arithmetic | en_UK |
| dc.subject | Finite word length | en_UK |
| dc.subject | Digital controller | en_UK |
| dc.subject | Digital filter | en_UK |
| dc.subject | Eigenvalue sensitivity | en_UK |
| dc.subject | Floating-point arithmetic | en_UK |
| dc.subject | Controller fragility | en_UK |
| dc.title | Optimal Controller and Filter Realisations using Finite-precision, Floating- point Arithmetic. | en_UK |
| dc.type | Article | - |