奇异摄动系统的H_∞控制:基于奇异系统的方法  

H-infinity control for singularly perturbed systems:a method based on singular system controller design

作　　者：钟宁帆[1] 孙敏慧[2] 邹云[1] 

机构地区：[1]南京理工大学自动化学院,江苏南京210094 [2]中国海洋大学数学系,山东青岛266003

出　　处：《控制理论与应用》2007年第5期701-706,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60474078;60304001)

摘　　要：实际系统的奇异系统模型往往通过忽略系统的奇异摄动系统模型微分项系数矩阵中的小时间参数得到.然而,传统的奇异系统控制器设计很少考虑微分项系数矩阵的摄动.本文拓展了现有奇异系统输出动态反馈H∞控制器的设计,使得当实际闭环系统中存在小时间参数时,仍然能保持稳定并且满足一定的H∞性能指标.仿真算例说明了本文提出方法的有效性.The H-infinity control problem for singularly perturbed system is considered in this paper. The conventional design techniques of the output dynamic feedback H-infinity controller for singular systems are improved. It is shown that when such an improved controller is applied to corresponding singularly perturbed systems, the stability and H-infinity performance of the closed-loop system can be guaranteed when there exist singularly perturbed parameters in the derivative-term-matrix. The H-infinity controller design is e independent. Matrix inequalities are also proposed to design the controller. Finally, a numerical example is presented to show the effectiveness of the controller.

关 键 词：奇异系统 奇异摄动系统 H∞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]