研究了一类具有时滞依赖的不确定关联系统输出反馈分散H∞控制问题,并且假定其中的不确定项是时变的和范数有界的。设计了分散输出反馈控制器,结合Lyapunov-Krasovskii泛函方法、时滞积分矩阵不等式技巧和变量替代法,导出了此类系统的时滞依赖分散H∞控制的线性矩阵不等式(LMI)充分条件。数值例子说明了提出方法的有效性。
Delay-dependent decentralized H∞ controller for a class of uncertain interconnected systems was considered. The uncertainties were assumed to be time-varying and norm-bounded. The decentralized output feedback controllers were designed. Combining the Lyapunov-Krasovskii functional approach, the delay integral inequality of matrices and variable substitution, the delay-dependent sufficient conditions for the existence of robust decentralized H∞ control were proposed in terms of linear matrix inequalities (LIM). The numerical simulation shows the validity of the main results.