Non-singular terminal sliding mode backstepping control for the uncertain chaotic systems

The paper proposes a non-singular terminal sliding mode control for a class of uncertain chaotic systems based on backstepping method. Through defining the error variables between the states of chaotic system and virtual feedback variables, a special non-singular terminal sliding mode and the control strategy are proposed. Then verified that the proposed control method can guarantee the error variables reach the non-singular terminal sliding mode manifold in finite time. Followed address the output of the chaotic system can track the arbitrary desired trajectory by using backstepping method. The simulations verified the effectiveness of the proposed method in the paper.