具有时变传输周期的奇异网络化系统鲁棒控制  

Robust Control for Singular Networked Systems with Time-Varying Transmission Period

作　　者：王岩岩[1] 童艳春[1] 刘伟 李建华[2] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]华东师范大学数学系应用数学与交叉学科研究中心,上海200241

出　　处：《信阳师范学院学报（自然科学版）》2016年第1期13-16,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11171113);河南省高等学校重点科研项目(16A110006);河南省科技计划项目(142300410324)

摘　　要：研究了一类具有时变传输周期的奇异系统网络化控制问题.在无传输时滞和丢包的条件下,将时变传输周期变量看作参数不确定项,从而系统可转化为异步动态不确定系统.进一步地,利用Lyapunov稳定性理论和线性矩阵不等式方法,研究该异步动态系统的反馈控制问题.给出了有效的控制器设计方法和系统稳定的充分条件.最后,通过数值仿真例子验证了本文方法的有效性.The networked control problem for a class of singular systems with time-varying transmission period was addressed. Firstly, the singular networked control system was transformed as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout. Meanwhile, the time-varying transmission period was regarded as a time-varying uncertain parameter. Further, the feedback stabilization of the asynchronous dynamical system was studied by Lyapunov stability theory and linear matrix inequality techniques. A sufficient condition was presented such that the system was asymptotically stable. Finally, a numerical example was presented to illustrate the effectiveness of the proposed method.

关 键 词：时变传输周期 奇异系统 网络化控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]