Cubic Observers for a Class of Nonlinear Systems with Input and output delays

TL;DR

This paper introduces a cubic observer for nonlinear systems with delays, improving state estimation accuracy and robustness over traditional linear observers, and proposes a composite observer combining high gain and cubic structures.

Contribution

It presents a novel cubic observer for nonlinear systems with delays and a composite observer that enhances estimation performance.

Findings

Cubic observer outperforms linear observers in convergence and robustness.

Composite observer improves estimation accuracy further.

Example demonstrates the effectiveness of the proposed methods.

Abstract

This paper utilizes the recently proposed cubic observer to estimate the state of a class of nonlinear systems. The cubic observer is proposed as an alternative to linear observers for improved convergence rate and robustness. It is shown that the proposed cubic observer can enhance the estimation compared to linear observers used for the same process. The proposed observer can be viewed as a generalization to the linear observer. To further enhance the cubic observer, a composite observer is proposed which combines the high gain observer design principle with the cubic observer structure. An example is included to show the efficacy of the proposed observer.