Frequency estimation with an LMI-based adaptive update law

Abstract

In this paper, we propose a frequency estimator using an adaptive observer. An LMI-based update law is applied to the adaptive observer and guarantees the stability of the error system with bounded disturbances. Moreover, we introduce the averaging factors to the frequency estimator in order to attenuate an error fluctuation arising due to noises in measurements. Finally, the performance of the proposed estimator is investigated by MATLAB simulations.