网络控制系统H_∞保成本控制分析  

H_∞ Guaranteed Cost Control of the Networked Control System

作　　者：高婷婷[1] 张庆灵[1] 包刚[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004

出　　处：《信息与控制》2007年第3期308-314,共7页Information and Control

基　　金：国家自然科学基金资助项目(60574011)

摘　　要：研究了网络控制系统在比例积分输出反馈控制器下的H∞保成本控制问题.针对二次型成本函数,以及传感器与控制器、控制器与执行器之间均存在网络的网络控制系统,利用李亚普诺夫理论和线性矩阵不等式,得到了不仅使闭环系统稳定,而且使成本函数不超过某个确定上界的H∞保成本控制存在的条件;进一步给出了H∞保成本控制的设计方法.最后举例说明该方法的可行性.The H∞ guaranteed cost control problein of the networked control system with a proportional-integral （PI） controller is studied. For the quadratic cost function and the networked control system with networks existing both between the sensor and the controller and between the controller and the actuator, the conditions for the existence of the H∞ guaranteed cost control can be obtained with Lyapunov theory and Linear Matrix Inequality （ LMI）, which can not only enable the closed-loop system to be stable, but also guarantee that its cost does not exceed a certain determinable upper bound. Furthermore, the design method of the H∞ guaranteed cost controller is also presented. Finally, an example is given to illustrate the feasibility of the proposed method.

关 键 词：网络控制系统 比例积分控制器 H∞保成本控制 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]