基于降维状态观测器的网络化广义系统状态反馈控制器设计

Design of state feedback controller for networked singular systems based on dimension reduction state observer

针对具有时延和数据包丢失的网络化广义系统,设计了n-l维状态观测器。在此基础上,基于Lyapunov稳定性定理设计了状态反馈控制器,应用线性矩阵不等式(linear matrix inequality,LMI)工具箱得到了控制器参数的求解方法,使得系统经状态反馈后是正则、稳定、无脉冲。最后的数值算例验证了本文方法的有效性和正确性。

In this paper,for networked singular systems with delay and packet loss,n-l dimensional state observer is designed.On this basis,the state feedback controller is designed based on Lyapunov stability theorem,and the solution method of controller parameters is calculated by using linear matrix inequality(LMI)toolbox,so that the closed-loop system is regular,stable and pulseless after state feedback.Finally,numerical examples verify the availability and correctness of the proposed method.