Guaranteed passive balancing transformations for model order reduction

• Published in: Annual ACM IEEE Design Automation Conference: Proceedings of the 39th conference on Design automation : New Orleans, Louisiana, USA; 10-14 June 2002 pp. 52 - 57
• Main Authors: Phillips, Joel, Daniel, Luca, Silveira, L. Miguel
• Format: Conference Proceeding
• Language: English
• Published: New York, NY, USA ACM 10.06.2002
• Series: ACM Conferences
• Subjects: Applied sciences; Computing methodologies > Modeling and simulation; Electronics; Exact sciences and technology; Hardware > Hardware validation; Hardware > Hardware validation > Functional verification > Simulation and emulation; Integrated circuits; Integrated circuits by function (including memories and processors); Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; truncated balanced realization; passive reduced order modeling
• ISBN: 1581134614; 9781581134612
• ISSN: 0738-100X
• DOI: 10.1145/513918.513933

The major concerns in state-of-the-art model reduction algorithms are: achieving accurate models of sufficiently small size, numerically stable and efficient generation of the models, and preservation of system properties such as passivity. Algorithms such as PRIMA generate guaranteed-passive models, for systems with special internal structure, using numerically stable and efficient Krylov-subspace iterations. Truncated Balanced Realization (TBR) algorithms, as used to date in the design automation community, can achieve smaller models with better error control, but do not necessarily preserve passivity. In this paper we show how to construct TBR-like methods that guarantee passive reduced models and in addition are applicable to state-space systems with arbitrary internal structure.