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vol 63 / August, 2020
Article

DOI 10.17586/0021-3454-2019-62-9-772-781

UDC 519.71

ADAPTIVE TRACKING OF MULTIHARMONIC SIGNAL IN LINEAR SYSTEM WITH STATE DELAY

D. N. Gerasimov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


A. S. Milyushin
ITMO University; Department of Computer Science and Control Systems; Graduate Student


A. V. Paramonov
ITMO University, Saint Petersburg, 197101, Russian Federation; Post-Graduate Student, engineer


V. O. Nikiforov
ITMO University, Saint-Petersburg, 197101, Russian Federation; Vice-Rector for Research


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Abstract. The problem of output adaptive tracking of multiharmonic signal in linear time-invariant plant with state delay is considered. The plant state vector is supposed to be unavailable for direct measurement, and reference signal parameters (amplitudes, phases and frequencies of harmonics) are a priori unknown. The solution to the problem is based on internal model principle and adaptation algorithm with augmented error. It is shown that despite the delay, standard scheme of error augmentation preserves the stability properties of the closed-loop system. Results of simulation in the MATLAB / Simulink environment are presented.
Keywords: adaptive control, system with state delay, internal model

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