Optimal controller and filter realizations using finite-precision, floating-point arithmetic
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-...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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2005-06.
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| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 01345 am a22001573u 4500 | ||
|---|---|---|---|
| 001 | 261022 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Whidborne, J.F. |e author |
| 700 | 1 | 0 | |a Gu, D.-W. |e author |
| 700 | 1 | 0 | |a Wu, J. |e author |
| 700 | 1 | 0 | |a Chen, S. |e author |
| 245 | 0 | 0 | |a Optimal controller and filter realizations using finite-precision, floating-point arithmetic |
| 260 | |c 2005-06. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/261022/1/TSYS114820.pdf | ||
| 520 | |a 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. | ||
| 655 | 7 | |a Article | |