脉冲切换系统的鲁棒H∞动态输出反馈控制

Robust H-infinity dynamic output feedback control for impulsive switched systems

考虑了脉冲切换系统的鲁棒H_∞控制问题.该系统的状态矩阵和控制矩阵都有不确定性和扰动.利用线性矩阵不等式(LMI)、H_∞控制理论、Lyapunov函数和变量替换方法,对这类系统给出了鲁棒稳定且具有γ鲁棒性能的充分条件.然后,使用MATLAB软件设计出H_∞鲁棒动态输出反馈控制器和脉冲控制矩阵.最后通过一个仿真算例验证了文中结论的有效性.

The problem of robust H-infinity control is considered for impulsive switched systems with disturbances and uncertainties in both states and control matrices. By using linear matrix inequality （LMI）, H-infinity control theory, Lyapunov functions and variable transformation, we derived the sufficient conditions for this type of systems to be robustly stable with robust performance. The robust H-infinity dynamic output feedback controllers and impulsive control matrix are then designed by using MATLAB software. The numerical example illustrates the efficacy of the result in this paper.