Robustness analysis of flexible structures: practical algorithms
| Autor: | J.-F. Magni, Jean-Marc Biannic, Gilles Ferreres |
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| Rok vydání: | 2003 |
| Předmět: |
Mathematical optimization
Computer science Mechanical Engineering General Chemical Engineering Biomedical Engineering Aerospace Engineering Upper and lower bounds Industrial and Manufacturing Engineering law.invention Telescope Singular value Control and Systems Engineering Robustness (computer science) law Electrical and Electronic Engineering Algorithm Frequency interval |
| Zdroj: | International Journal of Robust and Nonlinear Control. 13:715-733 |
| ISSN: | 1099-1239 1049-8923 |
| DOI: | 10.1002/rnc.742 |
| Popis: | When analysing the robustness properties of a flexible system, the classical solution, which consists of computing lower and upper bounds of the structured singular value (s.s.v.) at each point of a frequency gridding, appears unreliable. This paper describes two algorithms, based on the same technical result: the first one directly computes an upper bound of the maximal s.s.v. over a frequency interval, while the second one eliminates frequency intervals, inside which the s.s.v. is guaranteed to be below a given value. Various strategies are then proposed, which combine these two techniques, and also integrate methods for computing a lower bound of the s.s.v. The computational efficiency of the scheme is illustrated on a real-world application, namely a telescope mock-up which is significant of a high order flexible system. Copyright © 2003 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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