Kashima, Kenji (Tokyo Inst. of Tech.), Yamamoto, Yutaka (Kyoto Univ.), Ozbay, Hitay (Bilkent Univ.)

Parameterization of Suboptimal Interpolants for the Nehari Problem

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-IV: Frequency Domain Approaches" (ThA06), Thursday, July 27, 2006, 10:50−11:15, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

Most of H_infinity control problems reduce to the so-called one-block problem, which is equivalent to the Nehari problem. In this paper, a parameterization of all suboptimal interpolants for the Nehari problem is given from an operator theoretic viewpoint. We also show that this parameterization can be represented in a simple manner in some special cases. This representation leads to an explicit realization of suboptimal controllers of the standard H_infinity control problem for a class of infinite-dimensional systems.