On feedback invariance properties for systems over a principal ideal domain

Author

Assan, J. ; Lafay, J.F. ; Perdon, A.M.

Author_Institution

Inst. de Recherche en Cybernetique de Nantes, France

Volume

44

Issue

8

fYear

1999

fDate

8/1/1999 12:00:00 AM

Firstpage

1624

Lastpage

1628

Abstract

Simple necessary and sufficient conditions for the solvability of many control problems for linear systems over a field are based on the equivalence between the (A, B)-invariance property and the (A+BF)-invariance, or feedback invariance, property. For systems over a ring, this equivalence is no longer true and many results of the geometric control theory cannot be extended. We present new, algorithmically checkable characterizations of the (A+BF)-invariance property for systems defined over a principal ideal domain and a new solvability condition for the disturbance rejection problem

Keywords

feedback; invariance; linear systems; polynomials; (A+BF)-invariance; (A, B)-invariance property; disturbance rejection problem; feedback invariance; feedback invariance properties; necessary and sufficient conditions; principal ideal domain; solvability condition; Automatic control; Control system synthesis; Control systems; Differential equations; Feedback; Nonlinear control systems; Nonlinear systems; Robotics and automation; Robustness; Sliding mode control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.780439

Filename

780439