Title :
Model reduction of 2-D systems with frequency error bounds
Author :
Zhou, Kemin ; Li, Yanlin ; Lee, E.B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
2/1/1993 12:00:00 AM
Abstract :
Some explicit frequency domain ∞-norm error bounds for 2-D model reduction of denominator separable systems are derived. They are based on 1-D balanced model reduction and Hankel approximation methods. The evaluation of these error bounds only involves the computation of Hankel singular values of two 1-D transfer matrices
Keywords :
filtering and prediction theory; frequency-domain analysis; matrix algebra; multidimensional systems; parameter estimation; transfer functions; two-dimensional digital filters; 1D transfer matrices; 2D model reduction; Hankel approximation methods; denominator separable systems; frequency domain; frequency error bounds; Artificial intelligence; Control system synthesis; Equations; Filters; Frequency domain analysis; Frequency response; Observability; Partitioning algorithms; Reduced order systems; Signal processing algorithms;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
