The finitetime terminal sliding mode control for a class of uncertain singular systems is studied. The uncertain singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation. And then by the method of Liapunov function, a finitetime terminal sliding mode control strategy is proposed. A terminal sliding mode hypersurface and a controller are given correspondingly such that the asymptotic stability of the closedloop system is guaranteed, the motion of sliding mode is realized, and the system state variables can converge to the equilibrium point in finite time. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the design.

uncertain singular system; terminal sliding mode control; finitetime convergence; Liapunov function