Title :
Interpolation approach to Hankel-norm model reduction for rational multi-input multi-output systems
Author :
Auba, Tatsushi ; Funahashi, Yasuyuki
Author_Institution :
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
fDate :
12/1/1996 12:00:00 AM
Abstract :
Hankel-norm model degree reduction problem is studied by the interpolation approach. All-pass matrices that satisfy directional interpolation requirements are applied to this problem. Multi-input multi-output systems with rational transfer function are considered, for which a parametrization of all approximations is derived for a specified value of the Hankel norm of the modeling error. The parametrization is expressed by only the pole locations, their directions, and the relevant directions, which are all determined by a coprime factorization of the transfer function matrix of the original system
Keywords :
Hankel matrices; MIMO systems; interpolation; reduced order systems; transfer function matrices; Hankel-norm model reduction; all-pass matrices; coprime factorization; interpolation approach; model degree reduction; modeling error; pole locations; rational multi-input multi-output systems; rational transfer function; transfer function matrix; Circuits; Equations; Interpolation; Mechanical engineering; Modal analysis; Reduced order systems; Signal generators; Spectral analysis; State-space methods; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
