一类线性参数变化时滞系统的H_∞控制

H_∞ Control for a Class of Linear Parameter-varying Systems with Time delay

研究一类线性参数变化时滞系统的 H∞ 控制问题。这类系统的状态空间矩阵是一些时变参数的仿射函数 ,而这些时变参数是可以实时测量的。以线性矩阵不等式的形式给出了存在依赖于参数的动态输出反馈 H∞ 控制器的充分条件。当满足这些条件时 ,基于线性矩阵不等式的解可以构造出一种依赖于参数的动态输出反馈 H∞

The problem of H ∞ control for a class of linear parameter varying systems with time delay is studied. The state space matrices of the systems are assumed to be affine functions of some time varying parameters, which can be measured in real time during the system operation. Sufficient conditions for the existence of parameter dependent dynamic output feedback H ∞ controllers are given in terms of linear matrix inequalities. Once these conditions are satisfied, such a controller can be constructed based on the solutions of the linear matrix inequalities.