✦ LIBER ✦

ON THE EFFECT OF WEAK NON-LINEARITIES ON LINEAR CONTROLLABILITY AND OBSERVABILITY NORMS, AN INVARIANT MANIFOLD APPROACH

✍ Scribed by J.C. Slater; D.J. Inman

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 362 KB
Volume: 199
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1996.0607

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✦ Synopsis

Many weakly non-linear structures exhibit normal modes that are analogous to linear modes of linear oscillatory systems. As in the testing of linear modal systems, optimal sensor and actuator placement is important for obtaining the best test results. Such optimal placement is also important in control. This paper addresses this issue by extending the concepts of modal controllability and observability norms developed for linear systems to weakly non-linear systems that exhibit non-linear normal modes.

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