Xia, X., Chen, G., Gai, R. et al. (1 more author) (2008) Periodicity in Delta-Modulated feedback control. Journal of Control Theory and Applications, 6 (1). pp. 37-44. ISSN 1993-0623
Abstract
The Delta-modulated feedback control of a linear system introduces nonlinearity into the system through switchings between two input values. It has been found that Delta-modulation gives rise to periodic orbits. The existence of periodic points of all orders of Sigma-Delta modulation with “leaky” integration is completely characterized by some interesting groups of polynomials with “sign” coefficients. The results are naturally generalized to Sigma-Delta modulations with multiple delays, Delta-modulations in the “downlink”, unbalanced Delta-modulations and systems with two-level quantized feedback. Further extensions relate to the existence of periodic points arising from Delta-modulated feedback control of a stable linear system in an arbitrary direction, for which some necessary and sufficient conditions are given.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Mrs Megan Hobbs |
Date Deposited: | 09 Mar 2010 15:20 |
Last Modified: | 16 Nov 2015 11:48 |
Published Version: | http://dx.doi.org/10.1007/s11768-008-7192-x |
Status: | Published |
Publisher: | Springer on behalf of South China University of Technology and Academy of Mathematics and Systems Science, CAS |
Identification Number: | 10.1007/s11768-008-7192-x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:10482 |