Approximations of infinite dimensional disturbance decoupling and almost disturbance decoupling problems

Xiuxiang Zhou

doi:10.3934/mcrf.2014.4.381

Article Contents

2014, Volume 4, Issue 3: 381-399. Doi: 10.3934/mcrf.2014.4.381

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Approximations of infinite dimensional disturbance decoupling and almost disturbance decoupling problems

Xiuxiang Zhou^1,

1.
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190

Received: November 2013

Revised: February 2014

Published: September 2014

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Abstract

This paper is addressed to the disturbance decoupling and almost disturbance decoupling problems in infinite dimensions. We introduce a class of approximate finite dimensional systems, and show that if the systems are disturbance decoupled, so does the original infinite dimensional system. It is also shown that this approach can be employed to solve the almost disturbance decoupling problem. Finally, some illustrative examples are provided.

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Mathematics Subject Classification: Primary: 93C25; Secondary: 41A65.

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