Abstract: For a class of network control systems(NCSs) with actuator saturation and time-varying delay, anti-saturation robust stability and  performance are studied under the unequal interval sampling in this paper. First of all, for the NCSs with actuator saturation, a saturation controller is designed, and a mathematic model is established. Based on the analysis and processing of the sampling interval and time- varying delay, the discrete mathematics model of the closed-loop systems is established. By using a method of processing the uncertain terms, the system states are expressed in other uncertain terms of the NCSs. Then, by constructing the Lyapunov function, using the   control method and the linear processing method, a delay-independent stability criterion based on LMI description systems for NCSs is obtained. Finally, the validity of this conclusion is illustrated by comparing with some methods of other literature for upper bound of time delay under different  norm bound.

Key words: Networked control systems, time-varying delay, unequal interval sampling, Anti-saturation robust stability, performance, delay-independent stability criterion

摘要： 针对一类执行器饱和的时变时滞网络控制系统，研究了系统在不等间隔采样下的抗饱和鲁棒稳定及性能。首先，对于具有执行器饱和特性的连续网络控制系统，设计了抗饱和控制器，建立了控制输入数学模型。通过对采样间隔和时变时滞的分析与处理，建立了闭环系统的离散数学模型。运用一种不确定项的处理方法，实现了用系统状态表示系统其它不确定项。然后，通过构造Lyapunov函数，运用 控制方法及线性处理方法，获得了基于LMI描述的系统时滞无关稳定性判据。最后，通过与其他文献方法对保证系统渐近稳定且 范数界取不同值下时滞上界的比较，说明了本文结论的有效性。

关键词: 网络控制系统, 时变时滞, 不等间隔采样, 抗饱和鲁棒稳定性, 性能, 时滞无关稳定性判据