This work concerns the problem of adaptive compensation of multisinusoidal (multiharmonic) disturbances in linear time-invariant (LTI) plants with unknown parameters. The external disturbance simultaneously affects both the input and output of the plant and can be represented as a multiharmonic signal with unknown frequencies, phases, and amplitudes. A special observer based on the model reference adaptive control (MRAC) parametrization lemma is employed to handle unknown plant and disturbance parameters. The proposed design does not require a backstepping procedure. For controller parameters tuning, the finite-time convergence (FTC) algorithm is applied. In order to overcome the problem of high dimensions, the QR-decomposition is employed to ensure numerically reliable matrix inversion.

Нгуен Т. (науч. рук. Герасимов Д.Н.) Design of finite-time algorithms of adaptive compensation of multisinusoidal disturbances in linear systems with unknown parameters // Сборник тезисов докладов конгресса молодых ученых. Электронное издание. – СПб: Университет ИТМО, [2026]. URL: https://kmu.itmo.ru/digests/article/16615