采样系统的H_∞混合灵敏度设计  

H-infinity mixed sensitivity design for sampled-data systems

作　　者：王广雄[1] 刘彦文 何朕[1] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001

出　　处：《控制理论与应用》2006年第3期351-354,361,共5页Control Theory & Applications

基　　金：哈尔滨工业大学重点学科建设基金资助项目(54100179)

摘　　要：由于流行的提升法实际上并不适用于采样控制系统的H∞最优设计,本文提出一种基于频率响应概念的新的离散化H∞设计方法.文中结合S/T混合灵敏度问题,分析说明了这种离散化方法,并从鲁棒稳定性和性能两方面对设计结果进行了定量的验证.文中还与提升法的H∞设计进行了对比,指出由于提升变换需要进行回路转移,改变了标准H∞问题中的结构关系,因而设计结果并不理想.Because the popular lifting technique is not suitable for H-infinity optimal design of sampled-data control systems, a novel discretization H-infinity design method based on the frequency response concept is proposed in this paper. Firstly, this discretization method is presented in the context of a typical S/T mixed sensitivity problem. Both the robust stability and performance of the design of the proposed method are verified quantitatively. A comparative design by lifting is also given for the S/T problem. Finally, it is pointed out that the structure of the standard H-infinity problem is changed by loop-shifting during the lifting transformation, and the resulting performance of the lifting design is not desirable.

关 键 词：采样系统 混合灵敏度 H∞优化设计 提升技术 离散化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]