基于自由权矩阵法的网络控制系统稳定性研究  

Stability research of networked control systems based on free weighting matrix approach

作　　者：孙坚栋[1] 蒋静坪[1] 

机构地区：[1]浙江大学电气工程学院,浙江杭州310027

出　　处：《电子技术应用》2012年第6期85-88,共4页Application of Electronic Technique

摘　　要：研究了包含随机、有界传输时延和丢包的网络控制系统的稳定。将网络控制系统建模为具有时变输入时延的离散时间模型,利用Lyapunov-Krasovskii定理和自由权矩阵法,推导得出基于线性矩阵不等式形式的渐近稳定充分条件。数值仿真验证了方法的有效性。The stability of networked control systems （NCSs） with random and bounded transmission delay and data packet dropout is studied. The NCSs are modeled as a class of discrete-time systems with time-varying input delay. Based on Lyapunov- Krasovskii theorem and the free weighting matrix approach, the sufficient condition in terms of linear matrix inequality （LMI） for the asymptotic stability is derived. The effectiveness of the criteria is proved through numerical examples.

关 键 词：网络控制系统 时变时延 数据包丢失 线性矩阵不等式 李雅普诺夫泛函 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]