On Gramian-Based Techniques for Minimal Realization of Large-Scale Mechanical Systems
Paper i proceeding, 2014

Abstract In this paper, a review of Gramian-based minimal realization algorithms is presented, several comments regarding their properties are given and the ill-condition and efficiency that arise in balancing of large-scale realizations is being addressed. A new algorithm to treat non-minimal realization of very large second-order systems with dense clusters of close eigenvalues is proposed. The method benefits the effectiveness of balancing techniques in treating of non-minimal realizations in combination with the computational efficiency of modal techniques to treat large-scale problems.

Observability

Balanced truncation

Minimal realization

Gramian

Controllability

Författare

Sadegh Rahrovani

Dynamik

Majid Khorsand Vakilzadeh

Dynamik

Thomas Abrahamsson

Dynamik

Conference Proceedings of the Society for Experimental Mechanics Series

21915644 (ISSN) 21915652 (eISSN)

Vol. 45 7 797-805
978-1-4614-6584-3 (ISBN)

Ämneskategorier

Maskinteknik

DOI

10.1007/978-1-4614-6585-0_75

ISBN

978-1-4614-6584-3

Mer information

Senast uppdaterat

2023-08-08