# Inversion in indirect optimal control of multivariable systems

François Chaplais; Nicolas Petit

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 2, page 294-317
- ISSN: 1292-8119

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topChaplais, François, and Petit, Nicolas. "Inversion in indirect optimal control of multivariable systems." ESAIM: Control, Optimisation and Calculus of Variations 14.2 (2008): 294-317. <http://eudml.org/doc/250281>.

@article{Chaplais2008,

abstract = {
This paper presents the role of vector relative degree in the
formulation of stationarity conditions of optimal control problems
for affine control systems. After translating the dynamics into a
normal form, we study the Hamiltonian structure. Stationarity
conditions are rewritten with a limited number of variables. The
approach is demonstrated on two and three inputs systems, then, we
prove a formal result in the general case. A mechanical system
example serves as illustration.
},

author = {Chaplais, François, Petit, Nicolas},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Optimal control; inversion; adjoint states; normal form; optimal control},

language = {eng},

month = {3},

number = {2},

pages = {294-317},

publisher = {EDP Sciences},

title = {Inversion in indirect optimal control of multivariable systems},

url = {http://eudml.org/doc/250281},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Chaplais, François

AU - Petit, Nicolas

TI - Inversion in indirect optimal control of multivariable systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/3//

PB - EDP Sciences

VL - 14

IS - 2

SP - 294

EP - 317

AB -
This paper presents the role of vector relative degree in the
formulation of stationarity conditions of optimal control problems
for affine control systems. After translating the dynamics into a
normal form, we study the Hamiltonian structure. Stationarity
conditions are rewritten with a limited number of variables. The
approach is demonstrated on two and three inputs systems, then, we
prove a formal result in the general case. A mechanical system
example serves as illustration.

LA - eng

KW - Optimal control; inversion; adjoint states; normal form; optimal control

UR - http://eudml.org/doc/250281

ER -

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