Multistage output-lifting eigenstructure assignment: a multirate ball and plate example

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, a...

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Bibliographic Details
Published in:International journal of control 2019-12, Vol.92 (12), p.2761-2775
Main Authors: Chen, Lejun, Pomfret, Andrew, Clarke, Tim
Format: Article
Language:English
Subjects:
allowable subspace
ball and plate system
eigenstructure assignment
Eigenvectors
Hoisting
Lifting
Multistage
Subspaces
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Summary: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.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2018.1459856