A note on closed-loop balanced truncation
- 1 October 1996
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 41 (10) , 1498-1500
- https://doi.org/10.1109/9.539432
Abstract
Closed-loop balanced truncation is a model reduction method that aims at preserving the closed-loop properties of the original controller. We show that this method is equivalent to frequency-weighted balanced truncation with certain weighting and that for observer-based controllers, a significant amount of computation can be saved because of the observer-state feedback structure of the controller.Keywords
This publication has 5 references indexed in Scilit:
- Frequency weighted closed-loop order reduction in the control design configurationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A Schur method for balanced-truncation model reductionIEEE Transactions on Automatic Control, 1989
- Controller reduction using canonical interactionsIEEE Transactions on Automatic Control, 1988
- Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2]ACM Transactions on Mathematical Software, 1976
- Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]Communications of the ACM, 1972