Title :
Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation
Author_Institution :
Dept. of Math. Sci., Univ. of Bath, Bath, UK
Abstract :
We show that model order reduction by rational interpolation (also known as moment matching or rational Krylov) can be seen as the special case of balanced Proper Orthogonal Decomposition where all the snapshots are retained and particular numerical procedures are used to obtain the snapshots.
Keywords :
MIMO systems; interpolation; reduced order systems; balanced proper orthogonal decomposition; model order reduction; moment matching; rational Krylov; rational interpolation; Interpolation; Numerical models; Numerical stability; Reduced order systems; Singular value decomposition; Transfer functions; Model/controller reduction; linear systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2164018
