A new geometric proof of super-twisting control with actuator saturation

In this note, the stability of an uncertain system with actuator saturation using super-twisting controller (STC) is analysed. First, a new proof of STC ensuring finite-time stability of the system is proposed using geometric method which gives a new gain conditions. Then, using the proposed proof t...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 87; pp. 437 - 441
Main Authors Behera, Abhisek K., Chalanga, Asif, Bandyopadhyay, Bijnan
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.2018
Subjects
Actuator saturation
Finite-time stability
Super-twisting control
Super-twisting control
Actuator saturation
Finite-time stability
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Summary:In this note, the stability of an uncertain system with actuator saturation using super-twisting controller (STC) is analysed. First, a new proof of STC ensuring finite-time stability of the system is proposed using geometric method which gives a new gain conditions. Then, using the proposed proof the domain of attraction (DOA) is explicitly calculated for the system with bounded control.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2017.09.015