Amplitude and frequency estimator of a sinusoid

A dynamic estimator with global convergence property is proposed to simultaneously reconstruct the unknown values of the amplitude, frequency, and offset of a sinusoidal signal which is measured. Several versions of the estimator along with illustrative simulations are presented.

[1]  Alexander G. Loukianov,et al.  A globally convergent estimator for n-frequencies , 2002, IEEE Trans. Autom. Control..

[2]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[3]  Alberto Isidori,et al.  A geometric approach to nonlinear fault detection and isolation , 2000, IEEE Trans. Autom. Control..

[4]  Jian Li,et al.  Amplitude estimation of sinusoidal signals: survey, new results, and an application , 2000, IEEE Trans. Signal Process..

[5]  Jaehong Park,et al.  An analysis of detection spaces using invariant zeros , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[6]  Riccardo Marino,et al.  Nonlinear control design: geometric, adaptive and robust , 1995 .

[7]  Jaehong Park,et al.  A condition of the eigenvalues of detection filters for disturbance attenuation: an invariant zero approach , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[8]  D. Clarke,et al.  On the design of adaptive notch filters , 2001 .

[9]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[10]  X. Xia,et al.  Global frequency estimation using adaptive identifiers , 2002, IEEE Trans. Autom. Control..

[11]  Romeo Ortega,et al.  A globally convergent frequency estimator , 1999, IEEE Trans. Autom. Control..

[12]  Riccardo Marino,et al.  Global estimation of n unknown frequencies , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[13]  M. M. Akhter,et al.  Effect of model uncertainty on failure detection: the threshold selector , 1988 .