Controller design to enlarge the domain of attraction for a class of nonlinear systems

Mehdi Yadipour; Farzad Hashemzadeh; Mahdi Baradarannia

doi:10.1109/REM.2017.8075242

Controller design to enlarge the domain of attraction for a class of nonlinear systems

Mehdi Yadipour, Farzad Hashemzadeh, Mahdi Baradarannia

University of Tabriz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Estimation and enlarging the domain of attraction of nonlinear systems is one of the difficult and important challenges in the control of dynamical systems. This case efficiently influences the performance and reliability of controlled nonlinear mechatronic systems. In this paper a wide range of affine nonlinear systems has been considered and based on Zubov Theorem, a controller has been designed in which choosing suitable coefficients for the Lyapunov function stabilizes and enlarges the domain of attraction of closed loop system. The proposed method has been simulated on Van der Pol oscillator and on a non-globally stabilizable system to show the efficiency of the method.

Original language	English
Title of host publication	Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538618820
DOIs	https://doi.org/10.1109/REM.2017.8075242
Publication status	Published - 19 Oct 2017
Externally published	Yes
Event	2017 International Conference on Research and Education in Mechatronics, REM 2017 - Wolfenbuettel, Germany Duration: 14 Sept 2017 → 15 Sept 2017

Publication series

Name	Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017

Conference

Conference	2017 International Conference on Research and Education in Mechatronics, REM 2017
Country/Territory	Germany
City	Wolfenbuettel
Period	14/09/17 → 15/09/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Keywords

Domain of Attraction
Mechatronic
Nonlinear Systems
Stabilizable
Zubov Theorem

Access to Document

10.1109/REM.2017.8075242

Cite this

Yadipour, M., Hashemzadeh, F., & Baradarannia, M. (2017). Controller design to enlarge the domain of attraction for a class of nonlinear systems. In Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017 Article 8075242 (Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/REM.2017.8075242

Yadipour, Mehdi ; Hashemzadeh, Farzad ; Baradarannia, Mahdi. / Controller design to enlarge the domain of attraction for a class of nonlinear systems. Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017. Institute of Electrical and Electronics Engineers Inc., 2017. (Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017).

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abstract = "Estimation and enlarging the domain of attraction of nonlinear systems is one of the difficult and important challenges in the control of dynamical systems. This case efficiently influences the performance and reliability of controlled nonlinear mechatronic systems. In this paper a wide range of affine nonlinear systems has been considered and based on Zubov Theorem, a controller has been designed in which choosing suitable coefficients for the Lyapunov function stabilizes and enlarges the domain of attraction of closed loop system. The proposed method has been simulated on Van der Pol oscillator and on a non-globally stabilizable system to show the efficiency of the method.",

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Yadipour, M, Hashemzadeh, F & Baradarannia, M 2017, Controller design to enlarge the domain of attraction for a class of nonlinear systems. in Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017., 8075242, Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017, Institute of Electrical and Electronics Engineers Inc., 2017 International Conference on Research and Education in Mechatronics, REM 2017, Wolfenbuettel, Germany, 14/09/17. https://doi.org/10.1109/REM.2017.8075242

Controller design to enlarge the domain of attraction for a class of nonlinear systems. / Yadipour, Mehdi; Hashemzadeh, Farzad; Baradarannia, Mahdi.
Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 8075242 (Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Estimation and enlarging the domain of attraction of nonlinear systems is one of the difficult and important challenges in the control of dynamical systems. This case efficiently influences the performance and reliability of controlled nonlinear mechatronic systems. In this paper a wide range of affine nonlinear systems has been considered and based on Zubov Theorem, a controller has been designed in which choosing suitable coefficients for the Lyapunov function stabilizes and enlarges the domain of attraction of closed loop system. The proposed method has been simulated on Van der Pol oscillator and on a non-globally stabilizable system to show the efficiency of the method.

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KW - Stabilizable

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Yadipour M, Hashemzadeh F, Baradarannia M. Controller design to enlarge the domain of attraction for a class of nonlinear systems. In Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017. Institute of Electrical and Electronics Engineers Inc. 2017. 8075242. (Proceedings - 2017 International Conference on Research and Education in Mechatronics, REM 2017). doi: 10.1109/REM.2017.8075242

Controller design to enlarge the domain of attraction for a class of nonlinear systems

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Keywords

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