摘要
通过对网络控制系统的结构分析,建立带有时滞和不确定性的网络控制系统的数学模型.在此模型的基础上,对时滞区间进行分段,通过构造李亚普诺夫泛函,给出矩阵不等式作为使得闭环系统渐进稳定的充分条件,并将此矩阵不等式线性化得到相应的反馈增益矩阵,最后通过数值仿真将时滞上界进行比较来证明此方法的有效性。
Through analyzing the structure of the network control systems,we established the mathematical model of the networked control systems with time delay and uncertainty.In this model,on the basis of segmentation to delay interval, and by constructing Lyapunov functions,we obtained the sufficient conditions for the robust stability of the closed-loop sys-tem in term of matrix inequalities,and then drew the corresponding feedback gain matrix by linearizing the matrix inequali-ty.Finally,we compared the time delay upper bound got by simulation to prove the effectiveness of this approach.
出处
《计算技术与自动化》
2015年第3期1-5,共5页
Computing Technology and Automation
基金
The Fundamental Research Funds for the Central Universities(FRF-TP-12-006B)
关键词
网络控制系统
时滞
李亚普诺夫函数
稳定性分析
线性矩阵不等式
networked control systems
time-delay
Lyapunov function
stability analysis
linear matrix inequalities
