DECOUPLING WITH INTERNAL STABILITY FOR UNITY OUTPUT-FEEDBACK SYSTEMS

被引:20
作者
WANG, QG
机构
[1] Department of Electrical Engineering, National University of Singapore, Singapore, 0511
关键词
DECOUPLING; STABILIZABILITY; MULTIVARIABLE SYSTEMS; POLYNOMIAL MATRIX FRACTIONS; STRICT ADJOINTS; UNITY FEEDBACK;
D O I
10.1016/0005-1098(92)90128-3
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 presents, for the first time, a necessary and sufficient condition for solvability of the decoupling problem with internal stability for square plants by unit output feedback compensation. It consists of some polynomial matrix coprimeness conditions and is concerned only with the greatest C+-divisor of the plant. Parameterizations of all decoupling compensators and achievable diagonal loop maps with internal stabilizability are given, and the results are also generalized in a very natural way to the decoupling problem with arbitrary pole assignment. Examples are included for illustration.
引用
收藏
页码:411 / 415
页数:5
相关论文
共 23 条
[1]   ON MULTIVARIABLE POLE-ZERO CANCELLATIONS AND THE STABILITY OF FEEDBACK-SYSTEMS [J].
ANDERSON, BDO ;
GEVERS, MR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1981, 28 (08) :830-833
[2]  
[Anonymous], 1980, LINEAR SYSTEMS
[3]  
[Anonymous], 1984, LINEAR SYSTEM THEORY
[4]   SOLUTION TO MORGAN PROBLEM [J].
DESCUSSE, J ;
LAFAY, JF ;
MALABRE, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (08) :732-739
[5]   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
[6]   A SOLUTION TO THE DIAGONALIZATION PROBLEM BY CONSTANT PRECOMPENSATOR AND DYNAMIC OUTPUT-FEEDBACK [J].
ELDEM, V ;
OZGULER, AB .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (10) :1061-1067
[7]   DECOUPLING IN DESIGN AND SYNTHESIS OF MULTIVARIABLE CONTROL SYSTEMS [J].
FALB, PL ;
WOLOVICH, WA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (06) :651-+
[8]  
GUNDES AN, 1990, 29TH P IEEE CDC, P2492
[9]   DECOUPLING OF LINEAR-SYSTEMS BY DYNAMIC OUTPUT-FEEDBACK [J].
HAMMER, J ;
KHARGONEKAR, PP .
MATHEMATICAL SYSTEMS THEORY, 1984, 17 (02) :135-157
[10]   LINEAR FEEDBACK DECOUPLING - TRANSFER-FUNCTION ANALYSIS [J].
HAUTUS, MLJ ;
HEYMANN, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :823-832