Chattering analysis of uniform fixed-time convergent Sliding Mode Control

In this paper, chattering in systems controlled by a super-twisting based fixed-time convergent controller is analyzed. The analysis is performed by introducing dynamical perturbations into the system driven by the fixed-time convergent controller that yields self-sustained oscillations with a finit...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 354; no. 4; pp. 1907 - 1921
Main Authors Panathula, Chandrasekhara Bharath, Rosales, Antonio, Shtessel, Yuri, Basin, Michael
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.03.2017
Elsevier Science Ltd
Subjects
Algorithms
Controllers
Convergence
D C motors
Oscillations
Oscillators
Sliding mode control
Stability analysis
Twisting
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Summary:In this paper, chattering in systems controlled by a super-twisting based fixed-time convergent controller is analyzed. The analysis is performed by introducing dynamical perturbations into the system driven by the fixed-time convergent controller that yields self-sustained oscillations with a finite frequency and a finite amplitude. Describing Function-Harmonic Balance technique is used to estimate the amplitude and the frequency of those self-sustained oscillations. Then, the stability of the self-sustained oscillations is analyzed. Furthermore, considering a DC motor as a case study, chattering of super-twisting based fixed-time convergent controller is compared with chattering of the traditional super-twisting controller having the same gains.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2016.12.010