具有反馈增益摄动的网络化控制系统H<sub>∞</sub>控制

具有反馈增益摄动的网络化控制系统H_∞控制

摘要: 在考虑系统状态反馈增益发生加性不确定摄动的情况下，基于线性矩阵不等式（LMI）方法，研究了具有网络诱导时延的网络化控制系统（NCS）H_∞非脆弱控制器的设计问题．以线性矩阵不等式形式给出控制器存在的充分条件，通过求解LMI得出控制器参数．数值示例表明，当其控制器增益不确定时，所提H_∞非脆弱控制器仍保证NCS渐近稳定，并具有所期望的H_∞性能；而当控制器增益不确定时，由H_∞鲁棒控制控制器控制的NCS将不稳定．

Abstract: With consideration that the state feedback gains are of additive uncertainty perturbation,based on linear matrix inequality(LMI),the design method of non-fragile H_∞ controller for networked control system(NCS) with network-induced time delay is presented.A sufficient condition for the existence of the controller is given,which is presented in LMI forms. The controller parameters can be obtained by solving the LMIs.An example is given to illustrate that the designed non-fragile H_∞ controller ensures the NCS to be asymptotically stable and has the expected H_∞ performance when the controller gain is uncertain,while the NCS controlled by H_∞ robust controller will be unstable when the uncertainties exist in the controller gain.