TABLEAU METHODS FOR ANALYSIS AND DESIGN OF LINEAR-SYSTEMS

被引:7
作者
APLEVICH, JD [1 ]
机构
[1] UNIV WATERLOO,DEPT ELECT ENGN,WATERLOO N2L 3G1,ONTARIO,CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
Control system synthesis; linear systems; polynomial equations; spectral factorization; stochastic control;
D O I
10.1016/0005-1098(79)90016-5
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Certain classes of elementary operations on the system matrix of a linear system are defined, and then their use is illustrated for the calculation of canonical forms, the largest (A,B)-invariant and controllability subspaces in ker(C), transmission zeros, and minimal inverses. Questions of numerical accuracy are discussed. The results are directly codable as efficient numerical algorithms, and may be extended to the use of orthogonal transformations. © 1979.
引用
收藏
页码:419 / 429
页数:11
相关论文
共 30 条
[11]   LUENBERGERS CANONICAL FORM REVISITED [J].
GUPTA, RD ;
FAIRMAN, FW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (04) :440-441
[12]   EFFICIENT ALGORITHM FOR CALCULATION OF LUENBERGER CANONICAL FORM [J].
JORDAN, D ;
SRIDHAR, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1973, AC18 (03) :292-295
[13]   GEOMETRIC APPROACH TO ANALYSIS AND SYNTHESIS OF SYSTEM ZEROS .1. SQUARE SYSTEMS [J].
KOUVARITAKIS, B ;
MACFARLANE, AGJ .
INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (02) :149-166
[14]   CALCULATION OF TRANSMISSION ZEROS USING QZ TECHNIQUES [J].
LAUB, AJ ;
MOORE, BC .
AUTOMATICA, 1978, 14 (06) :557-566
[15]   CANONICAL FORMS FOR LINEAR MULTIVARIABLE SYSTEMS [J].
LUENBERGER, DG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (03) :290-+
[16]  
Mac Lane S., 1968, Algebra
[17]   ELEMENTARY DERIVATION OF ROSENBROCKS MINIMAL REALIZATION ALGORITHM [J].
MAYNE, DQ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1973, AC18 (03) :306-307
[18]   ALGORITHM FOR GENERALIZED MATRIX EIGENVALUE PROBLEMS [J].
MOLER, CB ;
STEWART, GW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (02) :241-256
[19]   COMPUTATION OF SUPREMAL (A,B)-INVARIANT AND CONTROLLABILITY SUBSPACES [J].
MOORE, BC ;
LAUB, AJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (05) :783-792
[20]   STRUCTURAL INVARIANTS OF LINEAR MULTIVARIABLE SYSTEMS [J].
MORSE, AS .
SIAM JOURNAL ON CONTROL, 1973, 11 (03) :446-465