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QUANTITATIVE MEASURES OF MODAL CONTROLLABILITY AND OBSERVABILITY IN VIBRATION CONTROL OF DEFECTIVE AND NEAR-DEFECTIVE SYSTEMS

✍ Scribed by Y.D. CHEN; S.H. CHEN; Z.S. LIU

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
273 KB
Volume
248
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper, we focus on the control problem of defective systems with repeated eigenvalues. Using the singular-value decomposition of input matrix B and output matrix C in the modal subspace, the quantitative measures of modal controllability and observability of defective systems are discussed. For a near-defective system with close eigenvalues, we "rst transform it into a defective one, and then apply the same method to deal with near-defective systems. Numerical examples for a general damping system and an airfoil are given to illustrate the applications of the present method.

2001 Academic Press

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