# Singular Perturbation Theory for a Finite-Dimensional, Discrete-Time Chi Nonlinear System

## TL;DR

This paper develops a singular perturbation theory tailored for a specific discrete-time nonlinear system modeling a digitally controlled buck converter with saturation effects.

## Contribution

It introduces a novel singular perturbation framework for analyzing a finite-dimensional nonlinear system in digital power electronics.

## Key findings

- Provides a new theoretical approach for system analysis.
- Enhances understanding of digital control in power converters.
- Lays groundwork for improved control strategies.

## Abstract

This paper develops the singular perturbation theory for a particular discrete-time nonlinear system which models the saturating inductor buck converter using cycle-by-cycle digital control.