Robust Stabilization of Nonlinear Systems by Quantized and Ternary Control

TL;DR

This paper presents methods for stabilizing nonlinear systems using a limited set of control values, employing a discontinuous backstepping approach to achieve robust practical stabilization with quantized and ternary controllers.

Contribution

It introduces a discontinuous semi-global backstepping lemma and applies it to develop robust stabilization techniques with quantized and ternary controls for nonlinear systems.

Findings

Achieves robust practical stabilization with finite control values.

Introduces a discontinuous backstepping lemma for nonlinear systems.

Demonstrates effectiveness on significant control problems.

Abstract

Results on the problem of stabilizing a nonlinear continuous-time system by a finite number of control or measurement values are presented. The basic tool is a discontinuous version of the so-called semi-global backstepping lemma. We derive robust practical stabilizability results by quantized and ternary controllers and apply them to some significant control problems.