Chattering and stability analysis of the sliding mode control using inverse hyperbolic function

Muhammad Asad; Muhammad Ashraf; Sohail Iqbal; Aamer Iqbal Bhatti

doi:10.1007/s12555-016-0654-x

Chattering and stability analysis of the sliding mode control using inverse hyperbolic function

Muhammad Asad^*, Muhammad Ashraf, Sohail Iqbal, Aamer Iqbal Bhatti

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Chattering is a known issue in sliding mode control (SMC) and much research has been carried out to mitigate the chattering and its effects. In this work the chattering and stability analysis of the inverse hyperbolic function (IHF) based reaching law (RL) has been carried out. The work mathematically formulates the reaching time and calculates the describing function (DF) for the IHF based RL, which is used to formulate the conditions for chattering avoidance. The bound for the gain of RL has been calculated that will result in the chattering avoidance. Finally the proposed scheme has been used to control the speed of DC motor. Experimental results show avoidance of chattering and reduction in the reaching time.

Original language	English
Pages (from-to)	2608-2618
Number of pages	11
Journal	International Journal of Control, Automation and Systems
Volume	15
Issue number	6
DOIs	https://doi.org/10.1007/s12555-016-0654-x
State	Published - 1 Dec 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

Chattering analysis
DC motor
inverse hyperbolic function
smooth sliding mode control

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

Access to Document

10.1007/s12555-016-0654-x

Cite this

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title = "Chattering and stability analysis of the sliding mode control using inverse hyperbolic function",

abstract = "Chattering is a known issue in sliding mode control (SMC) and much research has been carried out to mitigate the chattering and its effects. In this work the chattering and stability analysis of the inverse hyperbolic function (IHF) based reaching law (RL) has been carried out. The work mathematically formulates the reaching time and calculates the describing function (DF) for the IHF based RL, which is used to formulate the conditions for chattering avoidance. The bound for the gain of RL has been calculated that will result in the chattering avoidance. Finally the proposed scheme has been used to control the speed of DC motor. Experimental results show avoidance of chattering and reduction in the reaching time.",

keywords = "Chattering analysis, DC motor, inverse hyperbolic function, smooth sliding mode control",

author = "Muhammad Asad and Muhammad Ashraf and Sohail Iqbal and Bhatti, \{Aamer Iqbal\}",

note = "Publisher Copyright: {\textcopyright} 2017, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Asad, Muhammad

AU - Ashraf, Muhammad

AU - Iqbal, Sohail

AU - Bhatti, Aamer Iqbal

PY - 2017/12/1

Y1 - 2017/12/1

N2 - Chattering is a known issue in sliding mode control (SMC) and much research has been carried out to mitigate the chattering and its effects. In this work the chattering and stability analysis of the inverse hyperbolic function (IHF) based reaching law (RL) has been carried out. The work mathematically formulates the reaching time and calculates the describing function (DF) for the IHF based RL, which is used to formulate the conditions for chattering avoidance. The bound for the gain of RL has been calculated that will result in the chattering avoidance. Finally the proposed scheme has been used to control the speed of DC motor. Experimental results show avoidance of chattering and reduction in the reaching time.

AB - Chattering is a known issue in sliding mode control (SMC) and much research has been carried out to mitigate the chattering and its effects. In this work the chattering and stability analysis of the inverse hyperbolic function (IHF) based reaching law (RL) has been carried out. The work mathematically formulates the reaching time and calculates the describing function (DF) for the IHF based RL, which is used to formulate the conditions for chattering avoidance. The bound for the gain of RL has been calculated that will result in the chattering avoidance. Finally the proposed scheme has been used to control the speed of DC motor. Experimental results show avoidance of chattering and reduction in the reaching time.

KW - Chattering analysis

KW - DC motor

KW - inverse hyperbolic function

KW - smooth sliding mode control

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JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

IS - 6

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Chattering and stability analysis of the sliding mode control using inverse hyperbolic function

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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