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research
Fast positive-real balanced truncation via quadratic alternating direction implicit iteration
Authors
V Balakrishnan
N Wong
Publication date
1 January 2007
Publisher
'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Cite
Abstract
Balanced truncation (BT), as applied to date in model order reduction (MOR), is known for its superior accuracy and computable error bounds. Positive-real BT (PRBT) is a particular BT procedure that preserves passivity and stability and imposes no structural constraints on the original state space. However, PRBT requires solving two algebraic Riccati equations (AREs), whose computational complexity limits its practical use in large-scale systems. This paper introduces a novel quadratic extension of the alternating direction implicit (ADI) iteration, which is called quadratic ADI (QADI), that efficiently solves an ARE. A Cholesky factor version of QADI, which is called CEQADI, exploits low-rank matrices and further accelerates PRBT. © 2007 IEEE.published_or_final_versio
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Last time updated on 01/06/2016