New Solution to The Two Block H∞ Problem for Infinite-Dimensional Stable Plants

Kentaro HIRATA; Yutaka YAMAMOTO; Allen TANNENBAUM; Tohru KATAYAMA

doi:10.9746/sicetr1965.32.1416

New Solution to The Two Block H^∞ Problem for Infinite-Dimensional Stable Plants

Kentaro HIRATA, Yutaka YAMAMOTO, Allen TANNENBAUM, Tohru KATAYAMA

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Keywords: H^∞ control, skew Toeplitz theory, two block problem, optimal sensitivity, distributed systems

JOURNAL FREE ACCESS

1996 Volume 32 Issue 10 Pages 1416-1424

DOI https://doi.org/10.9746/sicetr1965.32.1416

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Abstract

A complete solution for the two-block H^∞ problem for stable distributed plants is derived. The solution consists of one Riccati equation and a finite-dimensional determinantal criterion in terms of a Hamiltonian, which is a natural extension of the well-known formula due to Zhou, Khargonekar, Lypchuk and others. An example is given to illustrate the result.

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