Boundedness of discretised non-linear systems under fast terminal sliding mode control

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.