Analysis of a Nonlinear Control Law with Cubic Nonlinearity

Melnikov Vitaly; Melnikov Vitaly; Melnikov Gennady; Dudarenko Natalia

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Paper

Analysis of a Nonlinear Control Law with Cubic Nonlinearity

Topics: Nonlinear Signals and Systems; System Modeling

In Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics ICINCO - Volume 1, 701-706, 2021

Authors: Melnikov Vitaly ^{1

;

2} ; Melnikov Gennady ¹ and Dudarenko Natalia ¹

Affiliations: ¹ Department of Control Systems and Industrial Robotics, ITMO University, 49 Kronverksky Pr., Saint-Petersburg, 197101, Russia ; ² Department of Mechanics, Saint Petersburg Mining University, 2, 21st Line, Saint-Petersburg, 199106, Russia

Keyword(s): Nonlinear Control, Cubic Nonlinearity, Polynomial Transformation.

Abstract: The paper is considered the problem of improving the stabilization of nonlinear controlled systems. It is proposed to solve the problem by introducing cubic components into the control law. Using the method of polynomial transformation, a comparative analysis of the influence of cubic components on the dynamics of a controlled systems is presented. As a result, some conclusions about the choice of the structure and parameters of the nonlinear control law are presented and recommendations are given.

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Paper citation in several formats:

Vitaly, M., Gennady, M. and Natalia, D. (2021). Analysis of a Nonlinear Control Law with Cubic Nonlinearity. In Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO; ISBN 978-989-758-522-7; ISSN 2184-2809, SciTePress, pages 701-706. DOI: 10.5220/0010604407010706

@conference{icinco21,
author={Melnikov Vitaly and Melnikov Gennady and Dudarenko Natalia},
title={Analysis of a Nonlinear Control Law with Cubic Nonlinearity},
booktitle={Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO},
year={2021},
pages={701-706},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010604407010706},
isbn={978-989-758-522-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - ICINCO
TI - Analysis of a Nonlinear Control Law with Cubic Nonlinearity
SN - 978-989-758-522-7
IS - 2184-2809
AU - Vitaly, M.
AU - Gennady, M.
AU - Natalia, D.
PY - 2021
SP - 701
EP - 706
DO - 10.5220/0010604407010706
PB - SciTePress