Title :
Discretization schemes for nonlinear singularly perturbed systems
Author :
Barbot, Jean Pierre ; Monaco, S. ; Normand-Cyrot, Dorothee ; Pantalos, N.
Author_Institution :
Lab. des Signaux et Syst., CNRS/ESE, Gif sur Yvette, France
Abstract :
The authors study the effect of slow and fast sampling and analyze the structure of the resulting sampled models in the case of nonlinear singularly perturbed systems. Using combinatorial equalities, related to the Baker-Campbell-Hausdorff formula, discretization schemes for such systems are proposed. It is shown in the linear context that slow and fast sampling result in two structurally different discrete-time systems
Keywords :
discrete time systems; nonlinear control systems; sampled data systems; Baker-Campbell-Hausdorff formula; combinatorial equalities; discrete-time systems; discretization; nonlinear singularly perturbed systems; sampled models; sampling; Control system analysis; Control systems; Differential equations; Nonlinear equations; Nonlinear systems; Sampling methods; Vectors;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261339
