一类具有时延和数据包丢失的网络非线性控制系统

摘要

The problem with the stabilization of a class of nonlinear networked control systems with both time-delay and pocket-dropout is researched. A model, in which a pocket-dropout is considered as a special kind of network-in-duced delay and a full-order linear observer is utilized to compensate both network-induced delay and pocket-dropout,is established through defining an augmented state vector. By constructing Lyapunov functions and employing linear matrix inequality ( LMI), it derives a few sufficient conditions for such systems, and obtains the state feedback control. The given example verifies the effectiveness of the method.%考虑了一类同时具有网络诱导时延和数据包丢失的网络非线性控制系统的稳定性问题.把数据包丢失看成一种特殊的网络时延,利用全阶状态观测器作为对时延和数据包丢失的补偿,定义一个新的状态变量,得到了具有时延和数据包丢失的网络非线性控制系统的模型.通过构造李雅普诺夫函数,利用线性矩阵不等式的知识,给出了此类系统渐近稳定的充分条件,设计了状态反馈控制器.最后通过一种数值算例证明了这种方法的有效性.