短时延广义网络控制系统的最优指数H_(∞)控制  

Optimal exponential H_(∞) control for singular networked control systems with short delay

作　　者：周红艳 张钊[2,4] 陈雪波[1] 李华[3] ZHOU Hong-yan;ZHANG Zhao;CHEN Xue-bo;LI Hua(School of Electronics and Information Engineering,University of Science and Technology Liaoning,Anshan Liaoning 114051,China;School of Computer Science and Software Engineering,University of Science and Technology Liaoning,Anshan Liaoning 114051,China;School of Business Administration,University of Science and Technology Liaoning,Anshan Liaoning 114051,China;State Key Laboratory of Synthetical Automation for Process Industries(Northeastern University),Shenyang Liaoning 110819,China)

机构地区：[1]辽宁科技大学电子与信息工程学院,辽宁鞍山114051 [2]辽宁科技大学计算机与软件工程学院,辽宁鞍山114051 [3]辽宁科技大学工商管理学院,辽宁鞍山114051 [4]流程工业综合自动化国家重点实验室(东北大学),辽宁沈阳110819

出　　处：《控制理论与应用》2023年第4期673-682,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(71771112);流程工业综合自动化国家重点实验室开放课题基金资助项目(PAL–N201801);辽宁科技大学优秀人才培养项目(2019RC05)资助。

摘　　要：本文基于标称点方法,研究了广义网络控制系统在短时变时延条件下的最优指数H_(∞)控制问题.为了减小网络诱导时延对系统保守性的影响,系统首先被建模为一个具有范数有界不确定项的离散时间系统.然后基于线性矩阵不等式技术和李雅普诺夫稳定性判据,给出使得系统指数稳定的一般和最优H_(∞)状态反馈控制器的存在条件和设计方法.最后通过3个算例证明了本文工作的有效性.In this paper,the optimal exponential H_(∞) control problem for singular networked control systems with short time-varying delay is studied by using the nominal point method.The system is first modeled as a discrete-time system with norm-bounded uncertainties in order to reduce the influence of network-induced delay on the system conservativeness.Then,the existence condition and the design method of a general and an optimal H_(∞) state feedback controller are given respectively based on the linear matrix inequality technique and the Lyapunov stability criterion.These controllers enable the system to be exponentially stable.Finally,three numerical examples are delivered to verify the validity of the work in this paper.

关 键 词：广义系统 网络控制系统 指数稳定 H_(∞)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]