The positive real control problem and the generalized algebraic Riccati equation for descriptor systems

被引：5

作者：

Wang, HS

Yung, CF ^{[1
]}

Chang, FR

机构：

[1] Natl Taiwan Ocean Univ, Dept Elect Engn, Keelung 202, Taiwan

[2] Ind Technol Res Inst, Ctr Aviat & Space Technol, Hsinchu 310, Taiwan

[3] Natl Taiwan Univ, Dept Elect Engn, Taipei 106, Taiwan

来源：

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS | 2001年 / 24卷 / 02期

关键词：

positive real control; descriptor system; generalized algebraic Riccati equation;

D O I：

10.1080/02533839.2001.9670619

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, some useful properties of generalized algebraic Riccati equations and generalized positive real. lemma for descriptor systems are given. Based on these results, the main purpose of this paper is to investigate the positive real (PR) control problem for descriptor systems. Necessary and sufficient conditions are derived for the solution to this problem expressed in terms of two generalized algebraic Riccati equations which may be considered to be generalizations of the Riccati equations obtained by Sun et al. (1994). When these conditions hold, state space formulae for all controllers solving the problem are also given.

引用

页码：203 / 220

页数：18

共 23 条

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