Title :
A geometrical characterization of a class of 0-flat affine dynamical systems
Author :
Bououden, S. ; Boutat, Driss ; Barbot, Jean-Pierre ; Kratz, Frédéric
Author_Institution :
ENSI-Bourges, Inst. PRISME, Bourges, France
Abstract :
This paper gives a description of a class of 0-flat dynamical systems. This class is characterized by the involutivity of a distribution associated naturally to multi-output affine dynamical systems and the Lie bracket of some control vector fields fulfilling some conditions. We will also show that these conditions are a generalization of the well-known result on 0-flatness of codimension 1 affine systems.
Keywords :
linear systems; nonlinear dynamical systems; 0-flat affine dynamical system; Lie bracket; codimension 1 affine systems; control vector; geometrical characterization; involutivity; multioutput affine dynamical system; Algebra; Control systems; Control theory; Linear feedback control systems; Motion control; Nonlinear dynamical systems; Nonlinear systems; State feedback; Sufficient conditions; Trajectory;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160122
