Sampling and Stability of Nonlinear Sampled Data Systems Part 1: Existence Theorems
Owens, D.H., Zheng, Y. and Billings, S.A.
(1988)
Sampling and Stability of Nonlinear Sampled Data Systems Part 1: Existence Theorems.
Research Report.
Acse Report 340
.
Dept of Automatic Control and System Engineering. University of Sheffield
Abstract
The object of this paper is to investigate how the choice of sampling interval is related to the stability of a class of nonlinear sampled-data systems and in particular how fast sampling may stabilise a sampled data system when the underlying continuous system is known to be stable. In this the first part of the paper, two fast sampling theorems are derived for a class of nonlinear sampled-data systems and it is shown that provided the underlying continuous systems is stable, there exists a maximum sampling interval such that when the system is sampled below this interval it will remain stable. In the second part of the paper, a special; class of nonlinear sampled-data systems are studied and an analytical relationship between sampling rates and the domains of attraction of the system are derived.
Metadata
Item Type:
Monograph
Authors/Creators:
Owens, D.H.
Zheng, Y.
Billings, S.A.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
Keywords:
Fast sampling, nonlinear sampled-data systems, stability, sampling intervals, domains of attraction.
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