On strong γk-γcl H∞ stabilization and simultaneous γk-γcl H∞ control

被引：0

作者：

Cheng, Peng ^{[1
]}

Cao, Yong-Yan ^{[1
]}

Sun, Youxian ^{[1
]}

机构：

[1] Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China

来源：

PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年

关键词：

strong stabilization; H-infinity control; simultaneous stabilization; linear matrix inequalities; MIMO SYSTEMS; DESIGN; ORDER; H-2;

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：

The strong gamma(k)-gamma(cl) H-infinity stabilization problem as well as the simultaneous gamma(k)-gamma(cl) H-infinity control problem is addressed in this paper. Based on the bounded real lemma, a sufficient condition for strong gamma(k)-gamma(cl) H-infinity stabilization is proposed, which leads to the design procedures that involve an algebraic Riccati equation and some LMI constraints. It is also proved that the simultaneous gamma(k)-gamma(cl) H-infinity stabilization problem for r (r > 2) plants is equal to strongly gamma(k)-gamma(cl) H-infinity stabilize r-1 associated plants. Finally, a numerical example is presented to demonstrate the effectiveness of the result.

引用

页码：1269 / 1274

页数：6

共 27 条

[1]

Blondel Vincent., 1994, LECT NOTES CONTROL I, V191

[2] H∞ strong stabilization [J].

Campos-Delgado, DU ;

Zhou, KM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) :1968-1972

[3] A parametric optimization approach to H∞ and H2 strong stabilization [J].

Campos-Delgado, DU ;

Zhou, KM .

AUTOMATICA, 2003, 39 (07) :1205-1211

[4] On simultaneous H∞ control and strong H∞ stabilizations [J].

Cao, YY ;

Lam, J .

AUTOMATICA, 2000, 36 (06) :859-865

[5] SIMULTANEOUS STABILIZATION USING STABLE SYSTEM INVERSION [J].

CHEN, HB ;

CHOW, JH ;

KALE, MA ;

MINTO, KD .

AUTOMATICA, 1995, 31 (04) :531-542

[6] STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS [J].

DOYLE, JC ;

GLOVER, K ;

KHARGONEKAR, PP ;

FRANCIS, BA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :831-847

[7] On the simultaneous stabilization of three or more plants [J].

Fonte, C ;

Zasadzinski, M ;

Bernier-Kazantsev, C ;

Darouach, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1101-1107

[8] A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL [J].

GAHINET, P ;

APKARIAN, P .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) :421-448

[9] Remarks on strong stabilization and stable H∞ controller design [J].

Gümüssoy, S ;

Özbay, H .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (12) :2083-2087

[10] Simultaneous stabilization of multiplicatively perturbed plants [J].

Gundes, AN .

SYSTEMS & CONTROL LETTERS, 1997, 30 (04) :149-158

← 1 2 3 →