线性时不变时滞系统与时滞相关的状态反馈控制

The delay-dependent state-feedaback control for linear time-delay system

基于微分中值定理,给出了线性时不变时滞系统一种稳定性等价的系统表达方式。该等价系统与系统滞后的大小无关。针对等价系统,本文得到了一种与滞后大小相关的控制器设计方案,其控制器参数的确定由线性矩阵不等式解的形式给出。线性矩阵不等式的求解可以方便地由Matlab中的ControlTollbox完成。

Based on the differential mean value theorem,the new expression for the linear time-invariant system's stability,which is equivalent to the original system's stability,is given in the paper.For the equivalent system a design strategy of controller,which is to depend the scale of the delay parameter,is obtained.The parameters of the controller are given by a LMI.Using the Control Toolbox in Matlab easily solves the solution of LMI.