针对全局滑模控制的动态滑模面不能在有限时间内演化为线性滑模面的缺点,提出一种改进的全局滑模控制方法,其动态滑模面的衰减函数由3个指数函数项组成一阶可导函数,并能在有限时间内衰减为零.这样,该方法不仅具有了全局滑模控制的全局鲁棒性,而且能够使动态滑模面在有限时间内演化为线性滑模面,从而加快了系统的响应速度.利用该方法实现了二阶电力系统的混沌控制,仿真结果验证了所提出方法的有效性.
An improved fast global sliding mode control is proposed to overcome the disadvantage that the dynamic sliding mode surface of the conventional global sliding mode control cannot evolve into the linear sliding mode surface in a limited time. The attenuation function of the dynamic sliding mode surface is differentiable and composed of three exponential functions which can decay to zero in a limited time. Thus, the method not only is strong global robustness, but also evolves the dynamic sliding mode surface into the linear sliding mode surface in a limited time. In this way, the response rate of the system controlled can be accelerated by using the method. The method is used to control the chaos in the second order power system. Simulation results show the effectiveness of the proposed method.