H_∞控制问题中RIC法和LMI法的一个比较  

A comparison between RIC-based and LMI-based sysnthesis in H_∞ control problems

作　　者：王广雄[1] 王新生[1] 林愈银[1] 何朕[1] 

机构地区：[1]哈尔滨工业大学,黑龙江哈尔滨150001

出　　处：《电机与控制学报》2000年第2期65-68,共4页Electric Machines and Control

基　　金：国家教委博士点基金(96021314);211工程资助项目

摘　　要：以弱阻尼系统为例，说明了Ｈ∞控制问题中ＲＩＣ法的零极点对消问题；然后通过分析ＬＭＩ法的特点，指出限制ＬＭＩ解的范数可以控制靠近虚轴的闭环极点，即可以通过函数ｈｉｎｆｌｍｉ（）本身的选项来控制极点位置，因此单用混合灵敏度同样可以解决弱阻尼系统的Ｈ∞控制问题，而不必如文［２］那样再增加极点配置的ＬＭＩ约束条件。The problem of pole--zero cancellation in Riccati equation--based H_∞ synthesis is demonstrated with a lightly damped system. Then, the properties of LMI--based synthesis are discussed. It is pointed out that the system's closed--loop poles near the jw--axis can be controlled by the norms of the LMIs' solutions via the options of the function hinflmi() itself. Hence, the problem of H_∞ control of lightly damped system can be solved by mixed--sensitivity design alone, and needs no additional LMI constraints as used in [2].

关 键 词：H∞控制 RIC法 LMI法 RICCATI方程 

分 类 号：O231[理学—运筹学与控制论]