一类中立型时滞系统鲁棒H_2/H_∞混合控制

Robust Mixed H_2/H_∞ Control for Uncertain Neutral Systems with Time-Delays

考虑了含有离散时滞和分散时滞的的不确定中立型系统的鲁棒H2/H∞混合控制.通过把系统写成描述系统形式,用线性矩阵不等式的方法给出了控制器存在的充分条件.最后,解最优化问题得到次最优鲁棒H2/H∞混合控制器.数值例子证明了所设计控制器的可行性.

In this paper, we consider the robust mixed H2/H∞ control for uncertain neutral system with discrete and distributed delays. By representing the system in the descriptor system form, we obtain the sufficient conditons for the existence of controller in terms of linear matrix inequalities. Finally, we obtain the suboptimal H2/H∞ controller by solving an optimization problem. Numerial example verifies the feasibility of the desgined controller.