Observer-Based Adaptive Scheme for Fixed-Time Frequency Estimation of Biased Sinusoidal Signals

TL;DR

This paper introduces a new observer-based adaptive method for fixed-time frequency estimation of biased sinusoidal signals, ensuring convergence time is independent of initial errors, demonstrated through simulations.

Contribution

The paper presents a novel fixed-time adaptive scheme for frequency estimation that outperforms existing methods by guaranteeing convergence within a fixed time regardless of initial conditions.

Findings

Effective fixed-time convergence demonstrated in simulations

Independent of initial errors in frequency estimation

Outperforms existing adaptive schemes

Abstract

In this technical communique, we propose a novel observer-based adaptive scheme to deal with the parameter estimation problem of biased sinusoidal signals. Different from the existing adaptive frequency estimation scheme, the proposed scheme can achieve fixed-time frequency estimation, whose convergence time is independent of the initial errors. Simulation example with different initial values shows the effectiveness of the theoretical result.