Title :
A globally convergent estimator for n-frequencies
Author :
Obregón-Pulido, G. ; Castillo-Toledo, B. ; Loukianov, A.
Author_Institution :
Centro de Investigacion y de Estudios Avanzados del IPN, Guadalajara, Spain
fDate :
5/1/2002 12:00:00 AM
Abstract :
In this paper, we propose a solution to the well-known problem of ensuring a simultaneous globally convergent online estimation of the state and the frequencies of a sinusoidal signal composed of n sinusoidal terms. We present an estimator which guarantees global boundedness and convergence of both the state estimation and the frequency estimation for all initial conditions and frequency values
Keywords :
adaptive signal processing; convergence; frequency estimation; initial value problems; nonlinear systems; online operation; state estimation; adaptive signal processing; frequency estimation; frequency values; global boundedness; globally convergent online estimation; initial conditions; nonlinear systems; sinusoidal signal; sinusoidal terms; state estimation; Adaptive filters; Amplitude estimation; Control theory; Frequency estimation; Helicopters; Induction motors; Phase estimation; Stability; State estimation; Vibration control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.1000286
