DISTURBANCE DECOUPLING WITH POLE-PLACEMENT FOR STRUCTURED SYSTEMS - A GRAPH-THEORETIC APPROACH

被引：12
|
作者：
VANDERWOUDE, J [1 ]
MUROTA, K [1 ]
机构：
[1] KYOTO UNIV,MATH SCI RES INST,KYOTO,JAPAN
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1995年 / 16卷 / 03期
关键词：
DISTURBANCE DECOUPLING; POLE PLACEMENT; STRUCTURED SYSTEM; BIPARTITE GRAPHS; DULMAGE-MENDELSOHN DECOMPOSITION; MAXIMUM MATCHING;
D O I：
10.1137/S0895479893251344
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Structured systems are linear systems of which each of the coefficients in the matrices is, either fixed to zero or an independent free parameter. In this paper the well-known disturbance decoupling problem with pole placement for such systems is studied and necessary and sufficient conditions for the generic solvability of the problem are derived. Generic solvability here means solvability in almost all cases. The conditions will be stated in terms of weighted matchings in a bipartite graph that easily can be associated with a structured system. The advantage of this is that the conditions then can be verified by means of well-known and efficient combinatorial algorithms.
引用
收藏
页码：922 / 942
页数：21
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