Sampled-Data Stabilization of Nonlinear Delay Systems with a Compact Absorbing Set

TL;DR

This paper introduces a robust sampled-data control method for nonlinear delay systems with a compact absorbing set, using an innovative ISP-O-P-DFC scheme, applicable even without delays.

Contribution

It develops a new stabilization approach that handles delays and perturbations, extending existing methods to more general nonlinear systems with delays.

Findings

Robust stabilization achieved for systems with delays and perturbations.

Method applies to delay-free systems, providing novel results.

The ISP-O-P-DFC scheme enhances control robustness and accuracy.

Abstract

We present a methodology for the global sampled-data stabilization of systems with a compact absorbing set and input/measurement delays. The methodology is based on the Inter-Sample-Predictor, Observer, Predictor, Delay-Free Controller (ISP-O-P-DFC) scheme and the stabilization is robust to perturbations of the sampling schedule. The obtained results are novel even for the delay-free case.