Terminal sliding mode decomposed control for a class of nonlinear systems

A terminal sliding mode decomposed control method is presented for the stability of a class of nonlinear systems. First, decompose the whole system into two second-order systems and design their separate sliding surface of each subsystems. Then embed the control target of one subsystems to another subsystems. Utilize a control action to make both subsystems converge to the equilibrium points in finite time. With simple control, the proposed method has signification for high-order systems. The simulation results on the inverted pendulum system are given to illustrate the validity.