On the stability of nonlinear sampled-data systems and their continuous-time limits
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Published on: March 10, 2011
Alexis J Vallarella1, Hernan Haimovich1
1Centro Internacional Franco-Argentino de Ciencias de la Información y de Sistemas (CIFASIS), CONICET-UNR, Ocampo y Esmeralda, 2000 Rosario, Argentina.
Abstract:
This work deals with the stability analysis of nonlinear sampled-data systems under nonuniform sampling. It establishes novel relationships between specific stability properties of the exact discrete-time model and stability properties of the continuous-time system that is obtained when the maximum admissible sampling period tends to zero. These results can be used to infer stability properties for the sampled-data system by direct inspection of the stability of the mentioned continuous-time system, a task which is typically easier than the analysis of the closed-loop sampled-data system. Compared to the literature, our results allow to prove stronger (asymptotic) sampled-data stability properties for nonlinear systems in cases for which existing results only guarantee practical stability.
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