Relating H<sub>2</sub>- and H<sub>∞</sub>-Norm Bounds for Sampled-Data Systems

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

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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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IEEE Transactions on Automatic Control

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