Title :
Inversion in indirect optimal control
Author :
Chaplais, Francois ; Petit, Nicolas
Author_Institution :
Centre Automatique et Systèmes, École Nationale Supérieure des Mines de Paris, 35, rue Saint-Honoré 77305 Fontainebleau Cedex, France
Abstract :
In this paper we explain how to use inversion (as defined in nonlinear control theory) for indirect optimal control. Given the relative degree r, it is possible to recover r adjoint states and thus to simplify the problem. Explicit proof is given and relies on the triangular structure of the underlying normal form. An example from the literature is treated in the last section.
Keywords :
Control theory; Differential equations; Jacobian matrices; Optimal control; Optimization; Trajectory; Zirconium; Optimal control; adjoint; indirect methods; inversion; nonlinear control theory;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
