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On Gramian-Based Techniques for Minimal Realization of Large-Scale Mechanical Systems

Sadegh Rahrovani (Institutionen för tillämpad mekanik, Dynamik) ; Majid Khorsand Vakilzadeh (Institutionen för tillämpad mekanik, Dynamik) ; Thomas Abrahamsson (Institutionen för tillämpad mekanik, Dynamik)
Topics in Modal Analysis (Conference Proceedings of the Society for Experimental Mechanics Series) (2191-5644). Vol. 45 (2014), 7, p. 797-805.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Balanced truncation , Controllability , Gramian , Minimal realization , Observability



Denna post skapades 2015-05-04.
CPL Pubid: 216331

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik (1900-2017)

Ämnesområden

Maskinteknik

Chalmers infrastruktur