不确定广义系统的鲁棒严格无源控制  

Robust Strictly Passive Control of Uncertain Descriptor Systems

作　　者：王翠红[1,2] 黄天民[1] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]山西师范大学数学与计算机科学学院,山西临汾041004

出　　处：《西南交通大学学报》2009年第6期860-864,911,共6页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(60873108)

摘　　要：讨论了不确定线性广义系统的严格无源性和严格无源控制问题.为了解决广义系统严格无源条件中的等式限制问题,通过引入松驰变量描述广义系统快变子系统与慢变子系统之间的代数关系,以严格线性矩阵不等式的形式,给出了广义系统严格无源的充分条件.基于该条件,设计了鲁棒严格无源控制器,并用具体实例说明所设计的控制器能保证闭环控制系统是严格无源的.The strictly passive realness and strictly passive control of an uncertain linear descriptor system was investigated. To solve the problem of equality restriction in strictly passive conditions of a descriptor system, the relationship between the fast and slow subsystems of a descriptor system was described by using a relaxed variable, and a new sufficient condition was presented to ensure that a descriptor system is strictly passive in terms of strict linear matrix inequality （LMI）. Based on the sufficient condition, a robust strictly passive controller was designed and a numerical example was given to show the designed controller can ensure that a closed-loop system is strictly passive.

关 键 词：广义系统 严格无源 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]