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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Published in | Journal of the Franklin Institute Vol. 354; no. 4; pp. 1907 - 1921 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elmsford
Elsevier Ltd
01.03.2017
Elsevier Science Ltd |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0016-0032 1879-2693 0016-0032 |
DOI: | 10.1016/j.jfranklin.2016.12.010 |