Frequency-domain analysis of nonlinear and linear integrators

TL;DR

This paper introduces a frequency-domain analysis method for nonlinear and linear integrators, demonstrating improved estimation performance and robustness of the nonlinear integrator, with parameter tuning based on frequency analysis.

Contribution

It presents a novel frequency-domain analysis approach for both nonlinear and linear integrators, enabling parameter regulation and performance comparison.

Findings

Nonlinear integrator outperforms linear in estimation accuracy.

Frequency sweep method effectively analyzes integrator dynamics.

Parameters can be tuned for optimal performance via frequency analysis.

Abstract

In this paper, frequency-domain analysis based on frequency sweep method is presented for a nonlinear double integrator and a new linear integrator. All the two types of integrators can estimate the onefold and double integrals of a signal synchronously. With respect to the linear double integrator, the nonlinear integrator has better estimation performance and stronger robustness. Importantly, the integrator parameters can be regulated from the frequency-domain analysis.