Chattering analysis of uniform fixed-time convergent Sliding Mode Control. Issue 4 (March 2017)

• Record Type: Journal Article
• Authors: Panathula, Chandrasekhara Bharath; Rosales, Antonio; Shtessel, Yuri; Basin, Michael
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 4(2017:Apr.)
• Page Start: 1907
• Page End: 1921
• Publication Date: 2017-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2016.12.010
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: 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.