A NEW APPROACH TO THE DISCRETIZATION OF CONTINUOUS-TIME CONTROLLERS

被引：132

作者：

KELLER, JP ^{[1
]}

ANDERSON, BDO ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,RES SCH PHYS SCI & ENGN,DEPT SYST ENGN,CANBERRA,ACT 2600,AUSTRALIA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 02期

关键词：

D O I：

10.1109/9.121622

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

A new method for discretizing continuous-time controllers is derived, using principles of controller approximation [1]. It focuses on the closed-loop use of the discrete-time controller. The resulting approximation criterion is a measure for stability of the control system, provides an upper bound on the sampling time for which stability can be guaranteed, and because it is based on continuous-time controller approximation it indicates the cost of discretization in terms of performance degradation. The discrete-time controller is obtained through minimization of this criterion, which can be performed with standard software used in H infinity controller design.

引用

页码：214 / 223

页数：10

共 20 条

[1]

CONTROLLER REDUCTION - CONCEPTS AND APPROACHES [J].

ANDERSON, BDO ;

LIU, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :802-812

[2]

Desoer CA., 1975, FEEDBACK SYSTEMS INP

[3]

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

[4]

AN H-INFINITY-MINIMAX APPROACH TO THE DESIGN OF ROBUST-CONTROL SYSTEMS .2. ALL SOLUTIONS, ALL-PASS FORM SOLUTIONS AND THE BEST SOLUTION [J].

FOO, YK ;

POSTLETHWAITE, I .

SYSTEMS & CONTROL LETTERS, 1986, 7 (04) :261-268

[5]

Franklin G. F., 1980, DIGITAL CONTROL DYNA

[6]

GLOVER K, 1984, INT J CONTROL, V39, P1105

[7]

KATZ P, 1981, DIGITAL CONROL USING

[8]

KENNEDY RA, 1990, 29TH P C DEC CONTR, P1898

[9]

ROBUST-CONTROL OF LINEAR TIME-INVARIANT PLANTS USING PERIODIC COMPENSATION [J].

KHARGONEKAR, PP ;

POOLLA, K ;

TANNENBAUM, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (11) :1088-1096

[10]

CONTINUOUS-DISCRETE GAIN TRANSFORMATION METHODS FOR LINEAR FEEDBACK-CONTROL [J].

KLEINMAN, DL ;

RAO, PK .

AUTOMATICA, 1977, 13 (04) :425-428

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