Open AccessBoundedness of discretised non‐linear systems under fast terminal sliding mode control
Author(s) -
Xiong Junlin,
Gan Quanhongbo,
Ren Wei
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0235
Subject(s) - control theory (sociology) , terminal (telecommunication) , sliding mode control , trajectory , terminal sliding mode , mathematics , variable structure control , mode (computer interface) , surface (topology) , linear system , control (management) , nonlinear system , computer science , mathematical analysis , physics , geometry , telecommunications , quantum mechanics , artificial intelligence , operating system , astronomy
This study analyses the steady‐state boundedness property of discretised non‐linear systems under fast terminal sliding mode (FTSM) control. First, the recursive FTSM variables and surfaces are introduced. Then, the FTSM control law is designed by enforcing the system trajectory to reach the last FTSM surface after one sample period. The boundedness of the FTSM variables and the system steady states are established and the corresponding bounds are provided. Finally, the theoretical results are illustrated by a numerical example and a comparison with terminal sliding mode control is presented.