Discretization schemes for nonlinear singularly perturbed systems

1 January 1991

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 443-448
https://doi.org/10.1109/cdc.1991.261339

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

This publication has 8 references indexed in Scilit:

A sampled-data control scheme for stabilization of systems with unmodeled high-frequency dynamics
IEEE Transactions on Automatic Control, 1992
Using symbolic calculus for singularly perturbed nonlinear systems
Published by Springer Nature ,1991
A combinatorial approach of the nonlinear sampling problem
Published by Springer Nature ,1990
On the robustness of sampled-data control to unmodeled high-frequency dynamics
IEEE Transactions on Automatic Control, 1989
Singular perturbations and time scales (SPaTS) in discrete control systems-an overview
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1987
Multirate digital control design of an optimal regulator via singular perturbation theory
International Journal of Control, 1986
On the sampling of a linear analytic control system
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1985
Multirate and composite control of two-time-scale discrete-time systems
IEEE Transactions on Automatic Control, 1985