Relating H2- and H∞-Norm Bounds for Sampled-Data Systems

Shinji Hara; Brian D.O. Anderson; Hisaya Fujioka

doi:10.1109/9.587344

Relating H₂- and H_∞-Norm Bounds for Sampled-Data Systems

Shinji Hara^*, Brian D.O. Anderson, Hisaya Fujioka

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We relate the H_∞ and H₂ norms for multi-input/multi-output sampled-data feedback control systems, where a continuous-time plant is controlled by a digital compensator with hold and sampler. Upper bounds on both H₂ and H_∞ norms are obtained based on fundamental relations derived by two different approaches, namely the hybrid state-space approach and the fast sampling and lifting approach.

Original language	English
Pages (from-to)	858-863
Journal	IEEE Transactions on Automatic Control
Volume	42
Issue number	6
DOIs	https://doi.org/10.1109/9.587344
Publication status	Published - 1997

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abstract = "We relate the H∞ and H2 norms for multi-input/multi-output sampled-data feedback control systems, where a continuous-time plant is controlled by a digital compensator with hold and sampler. Upper bounds on both H2 and H∞ norms are obtained based on fundamental relations derived by two different approaches, namely the hybrid state-space approach and the fast sampling and lifting approach.",

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AU - Anderson, Brian D.O.

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AB - We relate the H∞ and H2 norms for multi-input/multi-output sampled-data feedback control systems, where a continuous-time plant is controlled by a digital compensator with hold and sampler. Upper bounds on both H2 and H∞ norms are obtained based on fundamental relations derived by two different approaches, namely the hybrid state-space approach and the fast sampling and lifting approach.

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KW - Norm bounds

KW - Sampled-data system

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DO - 10.1109/9.587344

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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Relating H₂- and H_∞-Norm Bounds for Sampled-Data Systems

Abstract

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