Algorithm of adaptive estimation of parameters for a class of nonlinear non-stationary systems
https://doi.org/10.17586/0021-3454-2023-66-4-266-275
Abstract
The problem of identification of unknown parameters for a class of non-stationary nonlinear systems is considered. It is assumed that non-stationary parameters can be represented as outputs of linear generators with unknown state matrices and initial conditions. The system state variables are supposed to be available for measurement. At the first step of the developed algorithm, the problem of parametrization of the initial dynamic model is solved to obtain a linear static regression model. At the second step of the algorithm, the unknown constant parameters of the linear regression model are estimated. Then the synthesis of observers for non-stationary parameters is performed. Presented results of computer simulation demonstrate the proposed algorithm efficiency.
Supporting agencies: the work was supported by the grant of the President of the Russian Federation No. MD-3574.2022.4.
About the Authors
A. A. Pyrkin
ITMO University
Russian Federation
Russian Federation
Anton A. Pyrkin — Dr. Sci., Professor; Faculty of Control Systems and Robotics; Professor
A. Bobtsov
ITMO University
Russian Federation
Russian Federation
Alexey A. Bobtsov — Dr. Sci., Professor; Faculty of Control Systems and Robotics; Professor
Kh. T. Nguyen
ITMO University
Russian Federation
Russian Federation
Nguyen Khac Tung - Post-Graduate Student; Faculty of Control Systems and Robotics
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Review
For citations:
Pyrkin A.A., Bobtsov A., Nguyen Kh.T. Algorithm of adaptive estimation of parameters for a class of nonlinear non-stationary systems. Journal of Instrument Engineering. 2023;66(4):266-275. (In Russ.) https://doi.org/10.17586/0021-3454-2023-66-4-266-275
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