Multistage Output-lifting Eigenstructure Assignment: A Multirate Ball and Plate Example

Lejun Chen; Andrew James Pomfret; Timothy Clarke

doi:10.1080/00207179.2018.1459856

Multistage Output-lifting Eigenstructure Assignment: A Multirate Ball and Plate Example

Lejun Chen, Andrew James Pomfret, Timothy Clarke

Electronic Engineering

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

Abstract

By exploiting both the left and the right allowable subspaces in consecutive stages, this paper extends a recently-developed output-lifting eigenstructure assignment approach into a multistage eigenstructure assignment scheme. In this scheme, design degrees of freedom, enlarged via output-lifting, are further
exploited to improve eigenvector assignment. To mitigate the inherent conflicts between the theoretical development of eigenstructure assignment and inherent physical system characteristics, the paper also clearly demonstrates how to derive an ideal eigenstructure, particularly the desired eigenvectors, to
distribute and decouple the natural modes among appropriate states or outputs, based upon an example: a novel multirate Ball and Plate system. The design and simulation results show the efficacy of the scheme.

Original language	English
Pages (from-to)	1-32
Number of pages	32
Journal	International Journal of Control
Early online date	2 Apr 2018
DOIs	https://doi.org/10.1080/00207179.2018.1459856
Publication status	E-pub ahead of print - 2 Apr 2018

Bibliographical note

© 2018 Informa UK Limited. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

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10.1080/00207179.2018.1459856

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Cite this

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abstract = "By exploiting both the left and the right allowable subspaces in consecutive stages, this paper extends a recently-developed output-lifting eigenstructure assignment approach into a multistage eigenstructure assignment scheme. In this scheme, design degrees of freedom, enlarged via output-lifting, are furtherexploited to improve eigenvector assignment. To mitigate the inherent conflicts between the theoretical development of eigenstructure assignment and inherent physical system characteristics, the paper also clearly demonstrates how to derive an ideal eigenstructure, particularly the desired eigenvectors, todistribute and decouple the natural modes among appropriate states or outputs, based upon an example: a novel multirate Ball and Plate system. The design and simulation results show the efficacy of the scheme.",

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