Title :
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
fDate :
8/1/1999 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
