G. Lebret et Jj. Loiseau, PROPORTIONAL AND PROPORTIONAL-DERIVATIVE CANONICAL-FORMS FOR DESCRIPTOR SYSTEMS WITH OUTPUTS, Automatica, 30(5), 1994, pp. 847-864
Citations number
21
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
We construct a new canonical form for descriptor systems (E, A, B, C)
under proportional state feedback, proportional output injection and c
hanges of bases in the input space, the output space, the state space
(domain) and the state equation space (codomain). Geometric characteri
zations of the invariants are given. Four pencils are introduced in or
der to point out the relationships with Kronecker's theory of matrix p
encils. This finally allows us to define canonical forms under proport
ional plus derivative action.