不确定时延离散网络系统的变结构保成本控制  

Variable Structure and Guaranteed Cost Control of Uncertain Discrete Time-delay Networked Systems

作　　者：姚合军[1] 高芳征 YAO He-jun;GAO Fang-zheng(School of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China;School of Automation,Nanjing Institute of Technology,Nanjing 211167,China)

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000 [2]南京工程学院自动化学院,江苏南京211167

出　　处：《控制工程》2023年第2期231-237,共7页Control Engineering of China

基　　金：国家自然科学基金资助项目(61073065);河南省高等学校青年骨干教师培养计划项目(2019GGJS192);河南省高等学校重点科研项目(23B110001)。

摘　　要：针对一类带有不确定性和状态时延的网络系统,基于Lyapunov稳定性理论,利用变结构控制方法,研究了系统的保成本控制问题。首先,通过引入恰当的离散型时延补偿器,利用线性矩阵不等式方法设计了带有补偿器的新型滑模流形,并证明了滑模流形的稳定性。在此基础上,得到了系统变结构保成本控制设计方法和最大成本值求解方法。所得条件可以利用MATLAB进行求解,并能方便求解出最大成本值。最后,通过两个数值算例验证了所提方法的可行性和有效性。Based on Lyapunov stability theory and variable structure control method, the guaranteed cost control problem is studied for a class of network systems with uncertainty and state delay. Firstly, through introducing an appropriate discrete time delay compensator, a new type of sliding mode manifold with compensator is designed by using linear matrix inequality method, and the stability of the sliding mode manifold is proved. On this basis, the design method of variable structure guaranteed cost control and the expression of the maximum cost value are obtained. The obtained conditions can be solved by MATLAB, and the maximum cost value can be easily obtained. Finally, two numerical examples verify the feasibility and effectiveness of the proposed method.

关 键 词：网络系统 离散 变结构控制 保成本控制 时延 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]