SOLUTION TO THE POSITIVE REAL CONTROL PROBLEM FOR LINEAR TIME-INVARIANT SYSTEMS

被引：209

作者：

SUN, WQ ^{[1
]}

KHARGONEKAR, PP ^{[1
]}

SHIM, DS ^{[1
]}

机构：

[1] UNIV MICHIGAN, DEPT AEROSP ENGN, ANN ARBOR, MI 48109 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/9.328822

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we study the problem of synthesizing an internally stabilizing linear time-invariant controller for a linear time-invariant plant such that a given closed-loop transfer function is extended strictly positive real. Necessary and sufficiency conditions for the existence of a controller are obtained. State-space formulas for the controller design are given in terms of solutions to algebraic Riccati equations (or inequalities). The order of the constructed controller does not exceed that of the plant.

引用

页码：2034 / 2046

页数：13

共 38 条

[1]

Anderson B. D. O., 1973, NETWORK ANAL SYNTHES

[2] SMALL-GAIN THEOREM, PASSIVITY THEOREM AND THEIR EQUIVALENCE [J].

ANDERSON, BD .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1972, 293 (02) :105-+

[3] IMPROVED M-MATRIX CONDITION FOR THE EXISTENCE OF POSITIVE-REAL WEIGHTING [J].

ARAKI, M .

SYSTEMS & CONTROL LETTERS, 1985, 6 (01) :1-5

[4]

BOYD S, 1993, 1993 P AM CONTR C SA, P2147

[5] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A ;

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240

[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] MATRIX RICCATI INEQUALITY - EXISTENCE OF SOLUTIONS [J].

FAIBUSOVICH, LE .

SYSTEMS & CONTROL LETTERS, 1987, 9 (01) :59-64

[8]

FRANCIS BA, 1987, LECTURE NOTES CONTRO, V88

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

HADDAD, WM ;

BERNSTEIN, DS .

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

[10]

HADDAD WM, 1991, PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, P2274, DOI 10.1109/CDC.1991.261555

← 1 2 3 4 →