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2020 | OriginalPaper | Chapter

10. Boundary Control Systems

Authors : Ruth Curtain, Hans Zwart

Published in: Introduction to Infinite-Dimensional Systems Theory

Publisher: Springer New York

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Abstract

In the previous chapters our focus was on systems in which the control action is within the spatial domain. In this chapter we show that systems in which the control action is at the boundary of the spatial domain can be rewritten into one with an in-domain control action. However, this comes with the price that we introduce a derivative in the input. To calculate the transfer function of a boundary control system, it is not needed to rewrite the system first into a state linear systems. The flexible beam with two differents models for the boundary control serves as an example. The chapter ends with a set of 19 exercises and a notes and references section.

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Metadata
Title
Boundary Control Systems
Authors
Ruth Curtain
Hans Zwart
Copyright Year
2020
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-0716-0590-5_10