Discrete Global Sliding Mode Control for Time-Delay Carbon Fiber Multilayer Diagonal Loom

In order to overcome the disadvantage that the dynamic sliding mode surface of the discrete global sliding mode control has a too long evolution time, a quick discrete global sliding mode control method is proposed. A decay function of the dynamic sliding mode surface which can decay to zero in the finite time is constructed. Thereby, the dynamic sliding mode surface can evolve into the linear sliding mode surface at the given time. Thus, the method not only is strong global robustness, but also can quicken the response of the system and shorten the transition time. The method can be applied in the tension control system of the time delay carbon fiber multilayer diagonal loom. Simulation results prove the validity of the method.