A Method to Provide Conditions for Sustained Excitation

For the linear regression model, the problem of relaxing conditions for sustained excitation in the problems of estimation of the unknown constant parameters of the model was discussed. An approach was suggested enabling one to form from a damped regressor a new signal for which the conditions of su...

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Bibliographic Details
Published in:Automation and remote control 2018-02, Vol.79 (2), p.258-264
Main Authors: Wang, Jian, Aranovskiy, S. V., Bobtsov, A. A., Pyrkin, A. A., Kolyubin, S. A.
Format: Article
Language:English
Subjects:
Automatic
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Engineering Sciences
Excitation
Linear Systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Parameter estimation
Parameters
Regression analysis
Regression models
Robotics
Systems Theory
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Summary:For the linear regression model, the problem of relaxing conditions for sustained excitation in the problems of estimation of the unknown constant parameters of the model was discussed. An approach was suggested enabling one to form from a damped regressor a new signal for which the conditions of sustained excitation are satisfied. The cases of one and two unknown parameters giving one an insight into the root idea of the proposed approach were analyzed in detail. Operability of the algorithms considered in the paper was illustrated by computer-aided modeling.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117918020054