一种时变滑模平面的设计方法

Method to Design Time Varied Sliding Surface

在分析滑模平面设计的基础上，指出了按传统的方法设计的滑模平面的缺陷．为了克服此缺陷，根据矩阵分析理论提出了一种新的具有全局鲁棒性的时变滑模平面的设计方法，并给出了三种具体的滑模平面形式．通过理论分析和计算机仿真可以看出，基于该方法设计出滑模平面的变结构控制系统，能保证系统从任意的初始状态开始就处于设定的滑模平面上，对参数摄动和外部干扰具有很强的鲁棒性．用该方法设计出的时变滑模平面是传统的滑模平面的推广，且具有更好的性能．

On the basis of analysis of the design of sliding surface, some defects of the conventional methods are stated. To overcome the defects, a new method to design time varied sliding surface with global robustness is proposed according to matrix analysis theory and three forms of time varied sliding surface are given. From the theory analysis and simulation it can be seen that the variable structure control systems based on the time varied sliding surface designed according to the new method always lie on the sliding surface from the beginning of any initial state, and are robust to the parameter variations and disturbance. The designed sliding surface is an extension of the conventional sliding surface and has better properties.