Second-order sliding mode controller design subject to mismatched term

• Published in: Automatica (Oxford) Vol. 77; pp. 388 - 392
• Main Authors: Ding, Shihong, Li, Shihua
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2017
• Subjects: Adding a power integrator; Finite time stability; Second-order sliding mode; Second-order sliding mode; Finite time stability; Adding a power integrator
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2016.07.038

This communique proposes a novel second-order sliding mode (SOSM) control method to handle sliding mode dynamics with mismatched term, so as to reduce the terms in the control channel. Meanwhile, it is shown that the proposed control approach can be used to design SOSM controllers under disturbances bounded by positive functions rather than conventional constant upper bounds. The finite-time stability of the sliding variables has been shown by using finite-time Lyapunov theory. The validity of the proposed approach is verified by controlling a Buck converter.