带有时变时滞的线性系统的采样控制

Sampled-Data Control of Time-Varying and Time-Lag Linear Systems

讨论了带有时滞的线性系统的采样控制问题.利用李亚普诺夫稳定性理论和线性矩阵不等式方法,以线性矩阵不等式的形式,给出了线性时滞系统存在镇定采样控制律的时滞相关判别条件.当采样控制律的采样周期不大于一个固定上界时,可以镇定线性时滞系统.采样控制律的设计方法以参数形式给出.通过一个数值例子的采样控制律的设计说明了所给设计方法的有效性.

After discussing the sampled-data control over linear time-lag systems, and by using Lyapunov stability theory and linear matrix inequality approach （LMI）, the authors have presented the criteria for identifying the existence of lag-dependent sampled-data law for controlling linear time-lag systems in LMI framework. Such a sampled-data control system can stabilize time-lag systems if the sampling interval is within a fixed upper bound. The authors have also proposed the approaches for designing such a control law in the form of parameters.