不确定脉冲系统的动态输出反馈H_∞控制

H-infinity control with dynamic output feedback for uncertain impulsive systems

研究了不确定脉冲系统动态输出反馈H_∞控制问题.考虑了两类脉冲形式:一类脉冲是扰动型的,一类脉冲是稳定型的.对每类脉冲系统,给出了鲁棒稳定性和具有有限L_2增益的充分条件.并在此基础上,基于线性矩阵不等式,得到了H_∞动态输出反馈控制器存在的充分条件.最后,数值例子说明了本文结果的有效性.

The problem of robust dynamic output feedback H∞ control is investigated for uncertain impulsive systems. Two types of impulses are considered： one is destabilizing, the other one is stabilizing. For each class of impulsive systems, sufficient conditions for robust stability and weighted limited L2 gain are developed. Furthermore, based on linear matrix inequalities, sufficient conditions for the existence of dynamic output feedback H∞ controller are derived. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed design methods.