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Inversion in indirect optimal control

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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00501873
Contributor : François Chaplais <>
Submitted on : Monday, July 12, 2010 - 10:19:06 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Thursday, October 14, 2010 - 3:36:48 PM

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  • HAL Id : hal-00501873, version 1

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François Chaplais, Nicolas Petit. Inversion in indirect optimal control. 7th European Control Conference, Sep 2003, Cambridge, United Kingdom. ⟨hal-00501873⟩

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