带时变时滞的不确定网络化控制系统的H_∞控制

H_∞ control for uncertain networked control systems with time-varying delays

针对带时变时滞和不确定参数的网络化控制系统,研究其H∞状态反馈控制问题,给出了一个满足给定的H∞范数界γ的时滞相关的鲁棒稳定性准则,它是根据Lyapunov-Krasovskii泛函方法以线性矩阵不等式的形式给出。然后将这个准则转化为H∞控制问题的一个充分条件,所得到的条件可用来设计一个H∞状态反馈控制器。最后,给出数值例子来说明所提出方法的有效性和可行性。

We investigate H∞ state feedback control for a networked control system with time-varying delays and parameter uncertainties. A time-delay dependent robust stability criterion satisfying a prescribed H∞ norm bound is given in the form of linear matrix inequalities by using the Lyapunov-Krasovskii functional method. Then the criterion is transformed into a sufficient condition for H∞ control, the condition obtained is also used to design an H∞ state feedback controller. A numerical example is given to illustrate the effectiveness and feasibility of the proposed approach.