强非线性中立型随机时滞系统的间歇性反馈控制  

Intermittent feedback control for highly nonlinear neutral stochastic delay systems

作　　者：宋公飞[1,2] 张子梦 李涛 SONG Gong-fei;ZHANG Zi-meng;LI Tao(College of Automation,Nanjing University of Information Science and Technology,Nanjing Jiangsu 210044,China;Collaborative Innovation Center of Atmospheric Enviroment and Equipment Technology,Nanjing Jiangsu 210044,China)

机构地区：[1]南京信息工程大学自动化学院,江苏南京210044 [2]江苏省大气环境与装备技术协同创新中心,江苏南京210044

出　　处：《控制理论与应用》2023年第9期1657-1664,共8页Control Theory & Applications

基　　金：国家自然科学基金项目(61973170,61973168)资助.

摘　　要：本文研究的是一类系数是强非线性的混合中立型随机时滞系统的间歇性反馈控制问题.与现有的间歇性控制器不同,该控制器可以随意改变有效时间域的长短,并根据有效时间域的不同,去接受不同的输入形式,如:周期性时间输入、有界非周期性时间输入、指数非周期性时间输入和全时间输入等.最后,利用Lyapunov函数,M–矩阵和Ito公式,证明了其系统的指数稳定和几乎确定的稳定,并通过算例仿真验证了该控制器的有效性和正确性.This article investigates that an intermittent feedback control is designed to stability a class of neutral stochastic delay systems.The coefficients of these neutral stochastic delay systems are highly nonlinear.Different from the existing intermittent controllers,the effective time domain of an intermittent controller can change,arbitrarily,and the admissible different input forms of intermittent control depending on the different effective time domain,such as periodic-time inputs,bounded-aperiodic-time inputs,exponential-aperiodic-time inputs,the full-time inputs and so on.Finally,using the Lyapunov function,M-matrix and Ito formula,exponentially stability and almost surely stability of the system are proved,and a numerical example is given to verify the correctness and validity of the conclusion.

关 键 词：随机系统 指数稳定 几乎确定的稳定 间歇性反馈控制 LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]