A High-Gain Nonlinear Observer with Limited Gain Power

TL;DR

This paper introduces a novel high-gain nonlinear observer for systems in canonical form, reducing the maximum gain power from n to 2 while maintaining effective state estimation.

Contribution

It proposes a reduced-dimension observer with limited gain power, improving efficiency over traditional high-gain observers for nonlinear systems.

Findings

Observer dimension is 2n-2, smaller than the standard n.

Gain power is limited to the second power, reducing sensitivity.

Maintains accurate state estimation with lower gain complexity.

Abstract

In this note we deal with a new observer for nonlinear systems of dimension n in canonical observability form. We follow the standard high-gain paradigm, but instead of having an observer of dimension n with a gain that grows up to power n, we design an observer of dimension 2n-2 with a gain that grows up only to power 2.