To accomplish finite-time convergence of the system dynamics in the switching surface,
terminal SMC has been established in [7–12] using finite-time differential equations [6]. The
first-order terminal sliding-mode (TSM) method was first developed for the management of
second-order nonlinear systems in the study [7–10]. The TSM method has been extended to
high-order single-input and single-output (SISO) linear systems by Yu and Man [11]. To
demonstrate the sequential convergence of the sliding variables, a hierarchical TSM structure
has been suggested. For multi-input and multi-output (MIMO) linear systems, a generic TSM
was then created in [12]. It should be noted that when the system states are far from
equilibrium, TSM may not provide the same convergence performance as the traditional
sliding-mode approach. A fast terminal sliding-mode (FTSM) idea has been used by Yu and
Man [13, 14], ensuring quick transient