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Adaptive observer of an unknown sinusoidal output disturbance for linear plants

  • Adaptive and Robust Systems
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Abstract

A new algorithm is proposed to the design of an adaptive observer for an unknown sinusoidal disturbance that affects the output of a non-minimum phase linear control plant.

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References

  1. Marino, R., Santosuosso, G., and Tomei, P., Adaptive Stabilization of Linear Systems with Outputs Affected by Unknown Sinusoidal Disturbances, Proc. Eur. Control Conf., Kos, Greece, July 2–5, 2007, pp. 129–134.

  2. Marino, R., Santosuosso, G., and Tomei, P., Regulation of Linear Systems with Unknown Additive Sinusoidal Sensor Disturbances, Proc. 17th World Congress of IFAC, Seoul, Korea, 2008.

  3. Marino, R. and Tomei, P., Output Regulation for Linear Minimum Phase Systems With Unknown Order Exosystem, IEEE Trans. Automat. Control, 2007, vol. 52, pp. 2000–2005.

    Article  MathSciNet  Google Scholar 

  4. Marino, R. and Tomei, P., Adaptive Regulator for Uncertain Linear Minimum Phase Systems with Unknown Undermodeled Exosystems, Proc 17th World Congress of IFAC, Seoul, Korea, 2008.

  5. Bodson, M. and Douglas, S.C., Adaptive Algorithms for the Rejection of Periodic Disturbances with Unknown Frequencies, Automatica, 1997, vol. 33, pp. 2213–2221.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hsu, L., Ortega, R., and Damm, G., A Globally Convergent Frequency Estimator, IEEE Trans. Automat. Control, 1999, vol. 46, pp. 967–972.

    MathSciNet  Google Scholar 

  7. Mojiri, M. and Bakhshai, A.R., An Adaptive Notch Filter for Frequency Estimation of a Periodic Signal, IEEE Trans. Automat. Control, 2004, vol. 49, pp. 314–318.

    Article  MathSciNet  Google Scholar 

  8. Marino, R. and Tomei, P., Global Estimation of Unknown Frequencies, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 1324–1328.

    Article  MathSciNet  Google Scholar 

  9. Xia, X., Global Frequency Estimation Using Adaptive Identifiers, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 1188–1193.

    Article  MathSciNet  Google Scholar 

  10. Obregón-Pulido, G., Castillo-Toledo, B., and Loukianov, A.A., Globally Convergent Estimator for n-Frequencies, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 857–863.

    Article  MathSciNet  Google Scholar 

  11. Bobtsov, A., Lyamin, A., and Romasheva, D., Algorithm of Parameter’s Identification of Polyharmonic Function, Proc. 15th World Congress of IFAC, Barcelona, Spain, 2002.

  12. Bobtsov, A.A. and Kremlev, A.S., Adaptive Identification of the Frequency of Biased Sinusoidal Signals, Izv. Vuzov, Priborostroenie, 2005, no. 4, pp. 22–26.

  13. Hou, M., Amplitude and Frequency Estimator of a Sinusoid, IEEE Trans. Automat. Control, 2005, vol. 50, pp. 855–858.

    Article  MathSciNet  Google Scholar 

  14. Dyakonov, V., MATLAB 6, St. Petersburg: Piter, 2001.

    Google Scholar 

  15. Aranovskii, S.V., Bobtsov, A.A., Kremlev, A.S., and Lukyanova, G.V., Robust Algorithm for Identification of Frequency of Sinusoidal Signals, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2007, no. 3, pp. 1–6.

  16. Brusin, V.A., Synthesis of an Emulator of Linear Stationary Objects, Autom. Remote Control, 1977, no. 4, pp. 497–501.

  17. Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.

    Google Scholar 

  18. Teoriya avtomaticheskogo upravleniya, ch. I (Automatic Control Theory, Pt. I), A.A. Voronov, Ed., Moscow: Vysshaya Shkola, 1986.

    Google Scholar 

  19. Bobtsov, A.A. and Pyrkin, A.A., Compensation of Unknown Sinusoidal Disturbances in Linear Plants of Arbitrary Relative Degree, Autom. Remote Control, 2009, no. 3, pp. 449–456.

  20. Aranovskiy, S., Bobtsov, A., Kremlev, A., et al., Identification of Frequency of Biased Harmonic Signal, Proc. IFAC Workshop “Adapt. Learning Control Signal Proc.” (ALCOSP 07), St. Petersburg, Russia, 2007.

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Authors and Affiliations

  1. St. Petersburg State University of Information Technology, Mechanics, and Optics, St. Petersburg, Russia

    S. V. Aranovskii, A. A. Bobtsov & A. A. Pyrkin

Authors
  1. S. V. Aranovskii
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  2. A. A. Bobtsov
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  3. A. A. Pyrkin
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Additional information

Original Russian Text © S.V. Aranovskii, A.A. Bobtsov, A.A. Pyrkin, 2009, published in Avtomatika i Telemekhanika, 2009, No. 11, pp. 108–116.

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Aranovskii, S.V., Bobtsov, A.A. & Pyrkin, A.A. Adaptive observer of an unknown sinusoidal output disturbance for linear plants. Autom Remote Control 70, 1862–1870 (2009). https://doi.org/10.1134/S0005117909110101

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  • DOI: https://doi.org/10.1134/S0005117909110101

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