Fast Sampling and Stability of Nonlinear Sampled-Data Systems: Part 2. Sampling Rate Estimations
- 1 March 1990
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information
- Vol. 7 (1) , 13-33
- https://doi.org/10.1093/imamci/7.1.13
Abstract
This paper uses a time-domain approach to study the effect of fast sampling on the stability of a class of nonlinear sampled-data systems which have the property that their underlying continuous system are stable on a certain domain. In this, the second, part of the paper, a relationship between sampling rate and an estimated domain of attraction of the system is obtained by extending the analysis in Part 1. This relationship indicates that a faster sampling rate can increase the estimated domain of attraction of the sampled-data system, a phenomenon well known in practice. Hence, this study is a significant step towards understanding the effect of sampling on the behaviour of a sampled-data system. It may also help in designing a sampled-data system in the best interests of economic instrumentation and system performance.Keywords
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