Integral constraints on sensitivity vectors for multivariable linear systems

被引：19

作者：

Gomez, GI ^{[1
]}

Goodwin, GC ^{[1
]}

机构：

[1] UNIV NEWCASTLE,DEPT ELECT & COMP ENGN,NEWCASTLE,NSW 2308,AUSTRALIA

来源：

AUTOMATICA | 1996年 / 32卷 / 04期

关键词：

integral constraints; zeros; directions; FEEDBACK-SYSTEMS; TRADEOFFS; DESIGN; POLES; ZEROS;

D O I：

10.1016/0005-1098(95)00185-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper develops integral constraints on sensitivity vectors for multivariable feedback systems due to either unstable poles or non-minimum-phase zeros of the plant. The results presented cover the continuous (rational or distributed) case, and are based on the use of directions corresponding to zeros or poles of the plant. The integral constraints are in vector form, and give new insights into the inherent trade-offs in sensitivity reduction for multivariable systems and the cost of decoupling.

引用

页码：499 / 518

页数：20

共 20 条

[1]

Bode H. W., 1945, Network Analysis and Feedback Amplifier Design

[2] Subharmonic Functions and Performance Bounds on Linear Time-Invariant Feedback Systems [J].

Boyd, Stephen ;

Desoer, C. A. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1985, 2 (02) :153-170

[3]

CALLIER FM, 1978, IEEE T CIRCUITS SYST, V25, P651, DOI 10.1109/TCS.1978.1084544

[4]

CHEN J, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P3160

[5]

de Branges L., 1968, Hilbert Spaces of Entire Functions

[6]

DESOER CA, 1980, IEEE T AUTOMAT CONTR, V25, P399, DOI 10.1109/TAC.1980.1102374

[7] DECOUPLING LINEAR MULTIINPUT MULTIOUTPUT PLANTS BY DYNAMIC OUTPUT-FEEDBACK - AN ALGEBRAIC-THEORY [J].

DESOER, CA ;

GUNDES, AN .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (08) :744-750

[8]

Freudenberg J., 1987, FREQUENCY DOMAIN PRO

[9] RIGHT HALF PLANE POLES AND ZEROS AND DESIGN TRADEOFFS IN FEEDBACK-SYSTEMS [J].

FREUDENBERG, JS ;

LOOZE, DP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (06) :555-565

[10]

GOMEZ GI, 1994, EE9475 U NEWC DEP EL

← 1 2 →