Guaranteed passive balancing transformations for model order reduction

J.R. Phillips, L. Daniel, L.M. Silveira
2003 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
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
more » ... n 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.
doi:10.1109/tcad.2003.814949 fatcat:djwol4weojhqlfke3uo7vz2hma