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IMA Journal of Mathematical Control and Information 1990 7(1):13-33; doi:10.1093/imamci/7.1.13
© 1990 by Institute of Mathematics and its Applications
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Fast Sampling and Stability of Nonlinear Sampled-Data Systems: Part 2. Sampling Rate Estimations

Y. ZHENG, D. H. OWENS and S. A. BILLINGS

Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD, UK
Department of Mathematics, University of Strathclyde 26 Richmond Street, Glasgow G1 1XH, Scotland, UK
Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD, UK

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.


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