Luenberger-Type Cubic Observers for State Estimation of Linear Systems

TL;DR

This paper presents a novel nonlinear cubic observer for linear time-invariant systems, enhancing state estimation accuracy through a unique error dynamics approach.

Contribution

It introduces a new cubic nonlinear observer specifically designed for linear systems, expanding the existing observer design methodologies.

Findings

Demonstrates improved estimation accuracy over traditional linear observers

Provides stability analysis for the proposed nonlinear observer

Validates the approach through simulation results

Abstract

This paper introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term in its error dynamics. "For the final version of this article, please refer to the published version in Int. Jr. of Adaptive Control and Signal Processing. The differences between the published and arxiv version are substantial and significant"