The compensation of a harmonic perturbation under conditions of a delay in control.

*(English. Russian original)*Zbl 1178.93095
J. Comput. Syst. Sci. Int. 47, No. 4, 513-517 (2008); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2008, No. 4, 19-23 (2008).

Summary: The paper is devoted to the development of the methods of compensation of harmonic perturbations based on measurements of the plant output variable. An approach of compensation of a harmonic perturbation of unknown frequency, acting on a linear controlled plant is proposed. Unlike known analogs, in this paper, the problem of perturbation compensation is considered for the case, when the control channel is characterized by a delay.

##### MSC:

93C73 | Perturbations in control/observation systems |

93C05 | Linear systems in control theory |

93C15 | Control/observation systems governed by ordinary differential equations |

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\textit{A. A. Bobtsov} and \textit{A. A. Pyrkin}, J. Comput. Syst. Sci. Int. 47, No. 4, 513--517 (2008; Zbl 1178.93095); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2008, No. 4, 19--23 (2008)

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##### References:

[1] | R. Marino, G. L. Santosuosso, and P. Tomei, Robust Adaptive Compensation of Biased Sinusoidal Disturbances with Unknown Frequency, Automatica 39, 1755–1761 (2003). · Zbl 1054.93031 · doi:10.1016/S0005-1098(03)00170-5 |

[2] | A. Bobtsov and A. Kremlev, ”Adaptive Compensation of Biased Sinusoidal Disturbances with Unknown Frequency,” in Proceedings of 16th IFAC World Congress, Prague, Czech Republic, 2005. · Zbl 1126.93426 |

[3] | E. L. Eremin and D. A. Telichenko, ”Algorithms of an Adaptive System with Delay in Control in the Scheme with Extended Error and Reference Leader,” Mekhatronika, Avtomatizatsiya, Upravlenie, No. 6, 9–16 (2006). |

[4] | S. V. Aranovskii, A. A. Bobtsov, A. S. Kremlev, and G. V. Luk’yanova ”Robust Control Algorithm in the Scheme with Extended Error and Reference Leader,” Mekhatronika, Avtomatizatsiya, Upravlenie, No. 6, 9–16 (2006). |

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