eprintid: 4001
rev_number: 8
eprint_status: archive
userid: 87
dir: disk0/00/00/40/01
datestamp: 2018-03-09 14:07:48
lastmod: 2018-03-09 14:07:48
status_changed: 2018-03-09 14:07:48
type: article
metadata_visibility: show
creators_name: Gros, Sebastien
creators_name: Zanon, Mario
creators_id: 
creators_id: mario.zanon@imtlucca.it
title: Numerical Optimal Control with Periodicity Constraints in the Presence of Invariants
ispublished: inpress
subjects: T1
divisions: CSA
full_text_status: restricted
abstract: Periodic optimal control problems (POCPs) based on dynamic models holding invariants are often problematic to treat using standard numerical methods. The difficulty stems from a failure of standard constraint qualifications and typically hinders the convergence of the numerical solver, or even defeats it. Optimisation problems having weak constraint qualifications can be treated using dedicated solvers, at the price of a more involved algorithmic. In this paper, we analyse the constraint qualification of POCPs holding invariants, and propose three simple and computationally inexpensive modifications of the formulation that allow for a recovery of Linear Independence Constraint Qualification (LICQ), while not affecting the Second-Order Sufficient Conditions (SOSC) for optimality. Hence, the resulting POCP can be tackled via standard solvers, without special treatment. The application of these approaches is detailed for the case of POCPs holding index-reduced Differential-Algebraic Equations and representations of the SO(3) Lie group.
date: 2017
publication: IEEE Transactions on Automatic Control
publisher: IEEE
pagerange: 1-1
id_number: doi:10.1109/TAC.2017.2772039
refereed: TRUE
issn: 0018-9286
official_url: http://doi.org/10.1109/TAC.2017.2772039
citation:   Gros, Sebastien and Zanon, Mario  Numerical Optimal Control with Periodicity Constraints in the Presence of Invariants.  IEEE Transactions on Automatic Control.  p. 1.  ISSN 0018-9286    (In Press)   (2017)  
document_url: http://eprints.imtlucca.it/4001/1/08107571.pdf