安阳师范学院数学与统计学院
纸质出版:2017
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[1]姚合军,袁野,袁付顺.不确定离散时滞系统的指数稳定滑模控制新方法[J],2017,34(04):402-408.
[1]姚合军,袁野,袁付顺.不确定离散时滞系统的指数稳定滑模控制新方法[J],2017,34(04):402-408. DOI: 10.13568/j.cnki.651094.2017.04.005.
DOI:10.13568/j.cnki.651094.2017.04.005.
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.
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