HANKEL MODEL REDUCTION WITHOUT BALANCING - A DESCRIPTOR APPROACH.

Conference item

A basis-free descriptor system representation is shown to facilitate the computation of all minimum-degree and optimal kth- order all-pass extensions and Hankel-norm approximates. The descriptor representation has the same simple form for both the optimal and for the suboptimal minimum-degree cases. The method eliminates the need for the potentially ill-conditioned calculation of a minimal balanced, or partially balanced, realization of the system to be reduced. A simple, numerically sound method based on singular-value decomposition enables the results to be expressed in state-space form. A listing of PC-MATLAB code that implements the algorithm can be found in the authors' program LINF.

Authors: Safonov, MG; Chiang, R; Limebeer, D

• Publisher: IEEE
• Host title: Proceedings of the IEEE Conference on Decision and Control
• Pages: 112-117
• Publication date: 1987-01-01
• ISSN: 0191-2216