论文信息 - A note on closed-loop balanced truncation

A note on closed-loop balanced truncation

Closed-loop balanced truncation is a model reduction method that aims at preserving the closed-loop properties of the original controller. The authors show that this method is equivalent to frequency weighted balanced truncation with certain weightings, and how for observer-based controllers, a significant amount of computations can be saved because of the observer-state feedback structure of the controller.

B. De Moor | B. De Moor | G. Schelfhout | G. Schelfhout

[1] G. W. Stewart,et al. Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2] , 1976, TOMS.

[2] P.M.R. Wortelboer,et al. Frequency-weighted balanced reduction of closed-loop mechanical servo-systems: Theory and tools , 1994 .

[3] M. Safonov,et al. A Schur Method for Balanced Model Reduction , 1988, 1988 American Control Conference.

[4] P.M.R. Wortelboer,et al. Frequency weighted closed-loop order reduction in the control design configuration , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[5] R. Skelton,et al. Controller reduction using canonical interactions , 1987, 26th IEEE Conference on Decision and Control.

[6] B. Anderson,et al. Model reduction for control system design , 1984 .