Positive Real Analysis on the Uncertain Discrete-time Singular System

被引：0

作者：

Yang Li ^{[1
]}

Wang Yingchao ^{[1
]}

Liu Peiyong ^{[2
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

[2] Northeastern Univ, Inst Sci, Shenyang 110004, Peoples R China

来源：

PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年

关键词：

Discrete-time singular system; Positive real (PR); Extended Strict Positive Real (ESPR); Generalized quadratic stability; State feedback robust strict positive real controller; INVARIANT SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on the generalized quadratic stability and ESPR of general discrete-time singular system, the sufficient and necessary condition of quadratic admissibility and SPR of uncertain discrete-time singular system is proposed. By introducing augmented system, the research is carried out by transforming the PR analysis and design of uncertain discrete-time singular system to certain discrete-time singular system. At last, comprehensive method of designing the state feedback robust SPR controller of the uncertain discrete-time singular system is proposed, and then the correctness of the method is proved through numerical examples.

引用

页码：2836 / 2840

页数：5

共 20 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[2]

Gahinet P., 1995, LMI Control Toolbox

[3]

Goodwin G. C., 1984, Adaptive filtering prediction and control

[4] ROBUST STABILIZATION WITH POSITIVE REAL UNCERTAINTY - BEYOND THE SMALL GAIN THEOREM [J].

HADDAD, WM ;

BERNSTEIN, DS .

SYSTEMS & CONTROL LETTERS, 1991, 17 (03) :191-208

[5]

Jing Xin, 2004, Control and Decision, V19, P281

[6] Disturbance attenuation via strictly positive real compensators [J].

Kim, KS ;

Jabbari, F .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2003, 340 (6-7) :515-521

[7] A remark on passivity-based and discontinuous control of uncertain nonlinear systems [J].

Loría, A ;

Panteley, E ;

Nijmeijer, H .

AUTOMATICA, 2001, 37 (09) :1481-1487

[8] Positive real analysis and synthesis of uncertain discrete time systems [J].

Mahmoud, HS ;

Xie, LH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (03) :403-406

[9] A GENERALIZATION OF THE POSITIVE REAL LEMMA [J].

SCHERER, R ;

WENDLER, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (04) :882-886

[10]

Shao Han-yong, 2005, Control Theory & Applications, V22, P7

← 1 2 →