Skew Toeplitz Solution to The H∞ Problem for Infinite-Dimensional Unstable Plants

Kentaro HIRATA; Yutaka YAMAMOTO; Allen TANNENBAUM; Tohru KATAYAMA

doi:10.9746/sicetr1965.33.1066

Skew Toeplitz Solution to The H^∞ Problem for Infinite-Dimensional Unstable Plants

Kentaro HIRATA, Yutaka YAMAMOTO, Allen TANNENBAUM, Tohru KATAYAMA

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Keywords: H^∞ control, skew Toeplitz theory, unstable plants, infinite-dimensinal

JOURNAL FREE ACCESS

1997 Volume 33 Issue 11 Pages 1066-1071

DOI https://doi.org/10.9746/sicetr1965.33.1066

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Abstract

This paper derives a rank type formula for the computation of the singular value equation arising in the H^∞ problem with infinite-dimensional unstable plants. It is based on an extension of the skew Toeplitz approach for the stable plant case. Similarly to the stable plant case, parametric representations of the singular value equation plays an essential role. An example is given to illustrate the result.

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