针对有不确定网络诱导时延的网络控制系统,本文研究了鲁棒H∞保成本状态反馈控制律的设计问题。首先通过数学推导将网络诱导时延的不确定性转化为参数的不确定性,然后基于李雅普诺夫稳定性定理,以线性矩阵不等式(LMI)的形式推导出使闭环系统无扰动时鲁棒渐近稳定并具有一定性能的状态反馈控制律的形式,进而在系统有扰动时设计了γ次优鲁棒H∞状态反馈控制律。%This article studies the design of the control law for robust H∞guaranteed cost state feedback in the network control systems with uncertain network-induced delay.Firstly,the uncertainty of the network-induced delay is turned into the uncertainty of the parameters by the mathematical derivation.And then based on the Lyapunov stability theorem,in the form of linear matrix inequalities (LMI),the condition of the closed-loop system without disturbance is derived,and it can perform in the form of state feedback control law.Furthermore,γ robust H∞state feedback control laws are designed when there are disturbances in the system.
展开▼