Title :
Accessibility and feedback linearization of discrete-time systems
Author :
Aranda-Bricaire, E. ; Kotta, Ulle ; Moog, C.H.
Author_Institution :
CINVESTAV-IPN, Mexico City, Mexico
Abstract :
The accessibility problem for nonlinear discrete-time systems is shown to be easy to tackle by means of standard linear algebraic tools whereas for nonlinear continuous-time systems the most suitable approach is provided by differential geometry. The feedback linearization problem for discrete-time systems is recast through the language of differential forms. This yields a solution which is completely constructive. In the event that a system is not feedback linearizable, the largest feedback linearizable subsystem is characterized within the same formalism using the notion of derived flag of a Pfaffian system
Keywords :
discrete time systems; feedback; linear algebra; linearisation techniques; nonlinear control systems; Pfaffian system; accessibility; derived flag; differential forms; differential geometry; feedback linearization; nonlinear continuous-time systems; nonlinear discrete-time systems; standard linear algebraic tools; Automatic control; Control systems; Cybernetics; Ear; Geometry; Linear feedback control systems; Local area networks; Nonlinear systems; State feedback; Sufficient conditions;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411210
