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Measuring state variable participation for selective modal analysi

G.C. Verghese, I.J. Pérez-Arriaga, F.C. Schweppe

IFAC Symposium on Theory and Application of Digital Control, New Delhi (India). 05-07 January 1982


Summary:

A simple scale-invariant criterion is proposed for picking out state variables that 'significantly participate' in the construction of selected modes of a linear time-invariant dynamical system. The criterion is of value in such approaches to modal reduction as Davison's method, singular perturbation methods, and our 'Selective Modal Analysis' framework (which in several respects extends the former two methods, and in which the proposed criterion arises in a natural way). Application to sampled-data systems is also considered.


Keywords: Linear systems; state-space methods; modal control; eigenvalues; sensitivity analysis; large-scale systems; system order reduction; iterative method; ssampled-data systems


DOI: DOI icon https://doi.org/10.1016/S1474-6670(17)63395-0

Published in IFAC Proceedings Volumes, vol: 15, pp: 501-505, ISSN: 1474-6670

Publication date: 1982-01-01.



Citation:
G.C. Verghese, I.J. Pérez-Arriaga, F.C. Schweppe, Measuring state variable participation for selective modal analysi, IFAC Symposium on Theory and Application of Digital Control, New Delhi (India). 05-07 January 1982. In: IFAC Proceedings Volumes, vol. 15, nº. 1, ISSN: 1474-6670

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