Stability analysis of periodic orbit of an adaptive notch filter for frequency estimation of a periodic signal

Automatica

Volumn 43, Issue 3, 2007, Pages 450-455

  Mojiri, M ^a   Bakhshai, A R ^b  

^a UNIVERSITY OF KASHAN   (Iran)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Adaptive notch filter; Averaging theorem; Floquet multipliers; Frequency estimation; Periodic signal

Indexed keywords

FREQUENCY MULTIPLYING CIRCUITS; FREQUENCY RESPONSE; ONLINE SYSTEMS; PARAMETER ESTIMATION; TIME VARYING SYSTEMS;

ADAPTIVE NOTCH FILTERS; AVERAGING THEOREM; FLOQUET MULTIPLIERS; FREQUENCY ESTIMATION; PERIODIC SIGNALS;

NOTCH FILTERS;

EID: 33846811121     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.08.018     Document Type: Article

References (11)

1. Bodson M., and Douglas S.C. Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency. Automatica 33 12 (1997) 2213-2221
2. Bodson M., Jensen J.S., and Douglas S.C. Active noise control for periodic disturbances. IEEE Transactions on Control Systems Technology 9 1 (2001) 200-205
3. Chen C.-T. Linear systems theory and design (1999), Oxford University Press, Oxford, New York
4. Damm, G., Hsu, L., & Ortega, R. (1998). The effect of noise on a global frequency estimator. Proceedings of the MTNS, Padova, Italy, July 1998.
5. Farkas M. Periodic motions (1994), Springer, New York
6. Guckenheimer, J., & Holmes, P. (1991). Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Texts in applied mathematics (Vol. 2). New York: Springer.
7. Hsu L., Ortega R., and Damm G. A globally convergent frequency estimator. IEEE Transactions on Automatic Control 44 4 (1999) 698-713
8. Regalia P.A. An improved lattice-based IIR notch filter. IEEE Transactions on Signal Processing 39 9 (1991) 2124-2128
9. Routray A., Pradhan A.K., and Rao K.P. A novel Kalman filter for frequency estimation of distorted signals in power systems. IEEE Transactions on Instrumentation and Measurement 51 3 (2002) 469-479
10. Wiggins, S. (1983). Introduction to applied nonlinear dynamical systems and chaos. Texts in applied mathematics (Vol. 2). New York: Springer.
11. Zhou J., Hagiwara T., and Araki M. Stability analysis of continuous-time periodic systems via the harmonic analysis. IEEE Transactions on Automatic Control 47 2 (2002) 292-298