摘要
针对具有时延和数据包随机丢失的网络控制系统,将系统建模为一类含有服从伯努利分布的随机变量的随机控制系统.在此基础上,利用李亚普诺夫理论和鲁棒控制理论,推导出了状态反馈控制器存在的充分条件,并以线性矩阵不等式的形式给出了使闭环系统指数均方稳定的状态反馈控制器的设计方法.仿真实例说明了所用方法的有效性.
For networked control systems with time-delay and random data packet dropout,a stochastic control system model was established containing Bernoulli distributed stochastic variables.Furthermore,the condition of the state feedback controller that makes the closed loop system exponentially mean-square stable is derived by means of Lyapunov theory and robust control theory.The design method is also given in terms of linear matrix inequalities(LMI).A simulation example was used to demonstrate validity of the proposed method.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2011年第3期310-313,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60274009)
关键词
时延
数据包丢失
网络控制系统
指数均方稳定
状态反馈
time delay
data packet dropout
networked control system
exponentially mean-square stable
state feedback