On Gramian-Based Techniques for Minimal Realization of Large-Scale Mechanical Systems
Paper in proceedings, 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

Author

Sadegh Rahrovani

Dynamics

Majid Khorsand Vakilzadeh

Dynamics

Thomas Abrahamsson

Dynamics

Topics in Modal Analysis (Conference Proceedings of the Society for Experimental Mechanics Series)

2191-5652 (eISSN)

Vol. 45 7 797-805

Subject Categories

Mechanical Engineering

DOI

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

ISBN

978-1-4614-6584-3

More information

Created

10/8/2017