Lossless scalar functions: Boundary interpolation, Schur algorithm and Ober's canonical form

Abstract— In [1] a balanced canonical form for continuoustime lossless systems was presented. This form has a tridiagonal dynamical matrix A and the useful property that the corresponding controllability matrix K is upper triangular. In [2], this structure is also derived from a LC ladder. In this paper, a connection is established between Ober’s canonical form and a Schur algorithm built from angular derivative interpolation conditions. It provides a new interpretation of the parameters in Ober’s form as interpolation values at infinity and a recursive construction of the balanced realization.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Martine Olivi, Bernard Hanzon, Ralf L. M. Peeters
• Keywords: Balanced Canonical Form, Canonical Form, CDC 2008, Control Systems, Ober’s Canonical Form