PROPORTIONAL AND PROPORTIONAL-DERIVATIVE CANONICAL-FORMS FOR DESCRIPTOR SYSTEMS WITH OUTPUTS

被引：17
|
作者：
LEBRET, G
LOISEAU, JJ
机构：
[1] Laboratoire d'Automatique de Nantes, Unité de Recherche Associée au CNRS (URA 823), Ecole Centrale de Nantes, 44072 Nantes Cedex 03
来源：
AUTOMATICA | 1994年 / 30卷 / 05期
关键词：
CANONICAL FORMS; CLASSIFICATION; INVARIANCE; LINEAR DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS; MULTIVARIABLE SYSTEMS; STATE FEEDBACK; STATE SPACE; SYSTEM THEORY;
D O I：
10.1016/0005-1098(94)90173-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We construct a new canonical form for descriptor systems (E, A, B, C) under proportional state feedback, proportional output injection and changes of bases in the input space, the output space, the state space (domain) and the state equation space (codomain). Geometric characterizations of the invariants are given. Four pencils are introduced in order to point out the relationships with Kronecker's theory of matrix pencils. This finally allows us to define canonical forms under proportional plus derivative action.
引用
收藏
页码：847 / 864
页数：18
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