DOI 10.17586/0021-3454-2021-64-6-459-468
UDC 004.056.53
IDENTIFICATION OF POLYNOMIAL PARAMETERS OF NONSTATIONARY LINEAR SYSTEMS
ITMO University, Faculty of Control Systems and Robotics;
A. A. Pyrkin
ITMO University, Saint Petersburg, 197101, Russian Federation; Full Professor, Dean
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
A. A. Vedyakov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate Professor
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Abstract. A method for estimating parameters, which, in turn, can be represented as outputs of linear generators. In general, these are non-stationary parameters described by polynomials of time, as well as sinusoidal and exponential functions of time with unknown amplitudes and phases. In this paper, attention is paid to the case of polynomial parameters. The solution to the problem is based on transforming the object model to the form of a linear regression equation with respect to the state variables of the generators, the outputs of which describe the sought parameters. The method of dynamic expansion and decomposition of the regressor (or mixing of the regressor) makes it possible to solve the problem of restoring all state variables and output signals of the mentioned generators in a finite time. A numerical example of identifying parameters of a model of surface vessel motion along the course is presented.
Keywords: non-stationary nonlinear systems, estimation of polynomial parameters, method of dynamic expansion and mixing of regressor
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