Predefined-Time Sliding Mode Control with Prescribed Convergent Region

In recent years, the finite-time and fixed-time control techniques have drawn much attention. This letter will present a new method for designing predefined-time adaptive sliding mode controller with prescribed convergent region. More specifically, class $\mathcal{K}^{1}$ function is used to construct function, achieve real mode, also adopted in gain without knowing disturbance's upper bound (DUB). Compared existing controllers, key superiority of proposed that system can converge arbitrarily small region predefined time irrespective initial condition. addition, signal bounded along settling period, where instance be estimated conservation. The applicable wide range uncertain nonlinear systems such as networked significant network-induced delay.