具有包丢失和时延的网络控制系统的随机稳定性  

Stochastic stability of networked control system with data packet loss and time delay

作　　者：杨丽[1] 关新平[1] 罗小元[1] 龙承念[1] 

机构地区：[1]燕山大学电气工程学院,河北秦皇岛066004

出　　处：《吉林大学学报（工学版）》2010年第1期130-135,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家杰出青年基金项目(60525303);国家自然科学基金项目(60404022;60704009)

摘　　要：考虑了具有包丢失和网络诱导时延的网络控制系统的随机稳定性。首先通过引入等价时延的概念来描述数据包丢失的数目、网络诱导时延与采样周期大小之间的关系。然后将网络控制系统建模为离散时间跳变系统,其等价时延由Markov链控制。最后用线性矩阵不等式和随机稳定理论给出所得系统随机稳定的充分条件和动态的状态反馈控制器。数值算例验证了该方法的有效性和优越性。The stochastic stability problem of the networked control system（NCS） with the data packet loss and the network-induced time delay was studied. A concept of equivalent delay was introduced to describe the relationship between the amount of lost data packet as well as the network-induced time delay and the sampling frequincy. The closed-loop NCS was modeled as a discrete time delay jump system with its equivalent delay governed by a Markov chain. The sufficent conditions for the stochastic stability of the system were given using the linear matrix inequality （LMI） and the stochastic stability theory and the dynamic state feedback controllers were derived by solving the LMIs. Numerical examples illustrated the effectiveness and advantage of the proposed method.

关 键 词：网络控制系统 等价时延 线性矩阵不等式 随机稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]