Title :
An efficient algorithm on optimal Hankel-norm approximation for multivariable systems
Author :
Yang, Ciann-Dong ; Yeh, Fang-Bo
Author_Institution :
Dept. of Aeronaut. & Astronaut., Nat. Cheng Kung Univ., Tainian, Taiwan
fDate :
6/1/1992 12:00:00 AM
Abstract :
This note provides a novel methodology for Hankel approximation and H∞-optimization problems, based on a new formulation of the one-step extension problem, which is solved by the Sarason interpolation theorem. The present method does not require an initial balanced realization, and the parameterization of all optimal solutions is given in terms of the eigenvalue decomposition of a Hermitian matrix composed directly from the coefficients of the given transfer function matrix
Keywords :
approximation theory; interpolation; matrix algebra; multivariable control systems; optimisation; transfer functions; H∞-optimization; Hermitian matrix; Sarason interpolation theorem; multivariable systems; one-step extension problem; optimal Hankel-norm approximation; transfer function matrix; Approximation algorithms; Differential equations; Eigenvalues and eigenfunctions; Interpolation; MIMO; Matrix decomposition; Polynomials; Stability; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
