H_∞设计中奇异问题的处理  

Method for treating singular problems in H_∞design

作　　者：王广雄[1] 何朕[1] 刘淑焕[2] 

机构地区：[1]哈尔滨工业大学,黑龙江哈尔滨150001 [2]哈尔滨理工大学,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2000年第3期148-150,163,共4页Electric Machines and Control

基　　金：国家教委博士点基金!(96021314);211工程协助项目

摘　　要：以 Ｓ／ＫＳ问题为例分析了奇异问题的几种处理方法。指出权函数中有虚轴极点时可采用摄动的方法来处理，若对象中有虚轴极点则不能用这种摄动法。采用 ＬＭＩ法虽然可直接处理奇异问题，但需另外设法控制靠近虚轴的极点。处理奇异问题的有效办法是扩展Ｈ∞控制，但是增加了求解问题的复杂度。Several approaches to dealing with singular H. problems in S/KS design is discussed in this paper. It is pointed out that the s perturbation method can be used if there exist jω poles in the weighting function. But this perturbation method can not be used when these jω poles are in the plant. Although the LMI method can be direct used in the singular problems, it still needs some additional treatment to control the closed-loop poles near the jω - axis. The extended H. control is an effective method to deal with the singular H∞ problem, but it increases the complexity of the solving procedure.

关 键 词：奇异问题 H∞设计 H∞控制理论 伺服系统 

分 类 号：O231[理学—运筹学与控制论] TM921.541[理学—数学]