A new positive real characterization and robust positive real control of descriptor systems  

作　　者：Hanyong SHAO Chunbo FENG 

机构地区：[1]College of Electric, Information ＆ Automation, Qufu Normal University, Rizhao Shandong 276826, China [2]Institute of Automation, Southeast University, Nanjing Jiangsu 210096, China

出　　处：《控制理论与应用（英文版）》2005年第2期200-204,共5页

基　　金：ThisworkwassupportedbyNationalNaturalScienceFoundationofChina(No.60404006).

摘　　要：This paper investigates the positive real control problem for uncertain descriptor systems. The parametric uncertainty is assumed to be norm bounded. Firstly, for the nominal system, a new positive real characterization is given, which is expressed by a strict linear matrix mequality（LMI） without equality constraints. Secondly, for the uncertain system, necessary and sufficient conditions for the solvability of the positive real control problem are derived. Based on these conditions a state feedback law is obtained, which renders the resultant closed-loop system robustly positive real.This paper investigates the positive real control problem for uncertain descriptor systems. The parametric uncertainty is assumed to be norm bounded. Firstly, for the nominal system, a new positive real characterization is given, which is expressed by a strict linear matrix mequality（LMI） without equality constraints. Secondly, for the uncertain system, necessary and sufficient conditions for the solvability of the positive real control problem are derived. Based on these conditions a state feedback law is obtained, which renders the resultant closed-loop system robustly positive real.

关 键 词：Descriptor system Parameter uncertainty Positive real control State feedback 

分 类 号：O23[理学—运筹学与控制论]