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vol 67 / February, 2024
Article

STABILIZATION OF A LINEAR NON-STATIONARY SYSTEM UNDER CONDITIONS OF DELAY AND ADDITIVE SINUSOIDAL PERTURBATION OF THE OUTPUT

D. V. Quoc
ITMO University, Faculty of Control Systems and Robotics;


A. A. Bobtsov
ITMO University, Saint Petersburg, 197101, Russian Federation; Head of the School of Computer Technologies and Control, Professor at the Faculty of Control Systems and Robotics, Head of the Adaptive and Nonlinear Control Systems Lab


N. A. Nikolaev
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor


A. A. Pyrkin
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor, Dean


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Abstract. A solution is proposed to the problem of stabilization of a linear non-stationary object controlled by the output, that is, without measuring the object state variables. The solution to this problem is complicated by the fact that the output variable contains a delay, and there is also a disturbance in the measurements in the form of a sinusoidal function of time with unknown constant parameters. Assuming that the parameters of the control object are known non-stationary functions of time, the proposed solution provides for the synthesis of an observer of state variables and is constructed using an approach involving the constant parameters identification.
Keywords: nonstationary systems, observers of state variables, identification of constant parameters, sinusoidal disturbance, delay

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