This chapter further consider the problem of faults happening in actuators. By means of the available boundary information of actuator faults, a fault-tolerant sliding mode controller is designed such that state trajectories are driven onto sliding surface before the given short time T. The fault-parameter-based sufficient conditions are derived for ensuring the stochastic finite-time boundedness (SFTB) of the closed-loop system over the whole specified finite-time interval including the reaching phase and the sliding motion phase. Finally, two examples are provided to illustrate the proposed method.