不确定离散时滞系统的指数稳定滑模控制新方法

摘要

研究了不确定离散时滞系统的指数稳定滑模控制问题.基于Lyapunov稳定性理论,通过选取恰当的Lyapunov函数,得到了新的指数稳定滑模面设计条件.并在此基础上,结合滑模控制理论,给出使系统状态在有限时间内到达滑模面的到达控制器设计方法,所得条件以线性矩阵不等式形式给出,最后通过仿真算例说明了该方法的有效性和可行性.%The exponentially stable sliding mode control problem for uncertain discrete-time systems with delay is considered in this paper.Based on the Lyapunov theory,a new sufficient condition is given to design the exponentially stable sliding mode surface.Then,by using the sliding mode control theory,a design strategy is then derived for the hitting controller.And all the conditions are expressed in terms of linear matrix inequalities.Finally,a numerical example is given to demonstrate the validity of this approach.