On the stability of nonlinear sampled-data systems and their continuous-time limits

ALEXIS J. VALLARELLA; HERNAN HAIMOVICH

ISA TRANSACTIONS.

ELSEVIER SCIENCE INC

Lugar: Amsterdam; Año: 2023

0019-0578

This work deals with the stability analysis of nonlinear sampled-data systems un-der nonuniform sampling. It establishes novel relationships between specific sta-bility properties of the exact discrete-time model and stability properties of thecontinuous-time system that is obtained when the maximum admissible samplingperiod tends to zero. These results can be used to infer stability properties forthe sampled-data system by direct inspection of the stability of the mentionedcontinuous-time system, a task which is typically easier than the analysis of theclosed-loop sampled-data system. Compared to the literature, our results allowto prove stronger (asymptotic) sampled-data stability properties for nonlinear sys-tems in cases for which existing results only guarantee practical stability.