本文研究了线性广义不确定系统在满足匹配条件下的终端滑模控制的综合设计问题.利用变结构控制方法设计切换函数和终端滑模控制器,获得了在终端滑模控制下,闭环系统的模态在有限时间内到达平衡点的重要结果.克服了传统的变结构控制方法只能保证闭环系统的模态在平衡点渐近稳定,不能实现有限时间到达平衡点的缺点.举例说明了设计方法的合理性和有效性.
In this article,the synthesis problem of terminal sliding mode control for a linear singular uncertainty system is studied under the matching conditions satisfied.By using the method of variable structure control,we obtain the important result which the sliding mode state of the closed-loop system arrives at the balance point in limited time.Traditional variable structure control method can assure that the sliding mode state of the closed-loop system is asymptotically stable,can not arrives at the balance point in limited time,but the method of the article conquers the shortcoming.The rationality and the effectiveness of the designing method are illustrated by a numerical example.