针对依赖网络时延的离散时间网络化控制系统的不稳定性问题,通过选取恰当的李亚谱诺夫泛函并利用新的矩阵不等式界定方法,得到了依赖于时滞上、下界的系统鲁棒均方渐近稳定的充分条件。该稳定性条件描述了网络状态相关变量间的联系,因此具有较小的保守性。仿真结果表明了该方法的有效性。
The stability of the networked control system with time delay is studied. By choosing an ap- propriate Lyapunov functional and using a new matrix inequality method, the sufficient condition for robust asymptotic stability of the system is obtained. This stability condition with less conservative describes the relation between the network state dependent variables. Simulation results demonstrate the effectiveness of the proposed method.