Singularity for static-state feedback linearizable bilinear systems

Author

Chabour, Rachid ; Ferfera, Abdelhak

Author_Institution

CONGE Project, Inst. Nat. de Recherche en Inf. et Autom., Lorraine, France

Volume

44

Issue

8

fYear

1999

fDate

8/1/1999 12:00:00 AM

Firstpage

1559

Lastpage

1564

Abstract

This paper deals with the problem of singularities for a class of static-state feedback linearizable bilinear systems. For this class of nonlinear systems, the decoupling matrix is singular on an algebraic surface (which contains the origin), and this relates the static state feedback linearization to the difficult problem of the completeness of the trajectories of the closed-loop system and/or the boundedness of the feedback laws. In this work, we give a sufficient condition under which all the trajectories of the closed-loop system are complete and the used feedback law is bounded on each of these trajectories

Keywords

bilinear systems; closed loop systems; linearisation techniques; matrix algebra; state feedback; bilinear systems; closed-loop system; decoupling matrix; linearization; nonlinear systems; singularity; state feedback; sufficient condition; Algorithm design and analysis; Bandwidth; Feedback; Nonlinear systems; Programmable control; Robust control; Robust stability; Robustness; USA Councils; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.780421

Filename

780421