不确定广义离散系统的鲁棒H-infinity控制

研究E矩阵,确定其它系数矩阵都存在满足范数有界条件的参数不确定性广义离散线性系统的鲁棒H∞控制问题。利用线性矩阵不等式方法,导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。在此基础上,可以将广义不确定离散线性系统的状态反馈鲁棒H∞控制问题和输出反馈鲁棒H∞控制问题,分别转化为辅助广义确定性离散线性系统的状态反馈H∞控制问题和输出反馈H∞控制问题。

Robust H-infinity control for uncertain singular discrete systems

Robust H-infinity of the singular discrete systems under norm bounded uncertainties in all the system matrices except E is studied. An equivalent condition for the singular discrete linear systems to be regular, causal, stable as well as the transfer function satisfying a prescribed H-infinity norm bound is obtained by means of linear matrix inequation method. Based on this equivalent condition, the robust H-infinity control problems of uncertain singular discrete systems via state feedback and output feedback can be converted into the H-infinity control problems of the auxiliary certainty singular systems via state feedback and output feedback respectively.