Disturbance Frequency Estimation for an LTV System

Stanislav Aranovskiy (1, 2) , Marina Korotina (1, 2, 3) , Alexey Bobtsov (3)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 CentraleSupélec
3 ITMO University [Russia]

We consider the frequency estimation problem for a sinusoidal disturbance acting on a linear time-varying system, where only the input and output signals are available. We propose a novel parametrization that translates this problem into a linear regression model with unknown parameters. The frequency estimation is performed using the Dynamic Regressor Extension and Mixing procedure and an algebraic finite-time estimator. The resulting scheme provides finite-time frequency estimation under the interval excitation condition. The role of the tuning coefficients in satisfying the convergence condition is also discussed. Simulations illustrate the applicability of the proposed solution.

Keywords: Adaptive system and control; Frequency estimation; Time-varying systems; Excitation

Domains: Automatic; Systems and Control [cs.SY]

Stanislav Aranovskiy, Marina Korotina, Alexey Bobtsov. Disturbance Frequency Estimation for an LTV System. 14th IFAC Workshop on Adaptive and Learning Control Systems, Jun 2022, Casablanca, Morocco. ⟨hal-03545162⟩