Discrete fast terminal and integral sliding mode controllers

Abstract

In this paper, we propose two methods of discrete sliding mode control. The first is the discrete fast terminal sliding mode control (DFTSM) and the second is the discrete integral sliding mode control (DISMC). These methods are proposed in order to overcome sliding mode problems, such as chattering phenomenon, convergence speed and rejection of external disturbance. An illustrative example is presented to prove the effectiveness of the proposed methods.Index Terms-Discrete Sliding Mode Control, Fast Terminal Sliding Mode Control, Integral Sliding Mode Control, Chattering phenomenon, Convergence speed.

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

“…In [23], the boundedness of the TSM variables and the system steady states were established and the bounds are provided as well. On the other hand, FTSM control has been illustrated through simulations as an effective method to improve the transient response speed of the system in [24]. However, theoretical analysis was not conducted in [24].…”

“…On the other hand, FTSM control has been illustrated through simulations as an effective method to improve the transient response speed of the system in [24]. However, theoretical analysis was not conducted in [24]. This motivates the current study.…”