Positive realness and absolute stability problem of descriptor systems

被引:43
|
作者
Yang, Chunyu [1 ]
Zhang, Qingling
Lin, Yanping
Zhou, Linna
机构
[1] NE Univ, Inst Syst Sci, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 11004, Liaoning Prov, Peoples R China
[2] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
基金
中国国家自然科学基金;
关键词
absolute stability; descriptor systems; linear matrix inequality (LMI); positive realness;
D O I
10.1109/TCSI.2007.895516
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper considers a class of nonlinear descriptor systems described by a linear time-invariant descriptor system with feedback-connected sector-constrained nonlinearities. First, we discuss the positive realness problem of descriptor systems and present a new version of positive real lemma. Second, we define the notion of strongly absolute stability (SAB) which is equivalent to the linear part is regular and impulsive-free and the overall feedback system is exponential stable and a SAB criteria in frequency domain is derived. Then, we address the problem of designing a state feedback controller such that the closed-loop feedback-connected system is SAB. To achieve this, we give a linear matrix inequality (LMI)-based SAB criteria, and the above problem is converted into an LMI feasibility problem. Finally, some numerical examples are given to illustrate our approach.
引用
收藏
页码:1142 / 1149
页数:8
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