Our aim is to adapt Fletcher's filter approach to solve optimal control problems for systems described by nonlinear Partial Differential Equations (PDEs) with state constraints. To this end, we propose a number of modifications of the filter approach, which are well suited for our purposes. Then, we discuss possible ways of cooperation between the filter method and a PDE solver, and one of them is selected and tested.
@article{bwmeta1.element.bwnjournal-article-amcv22i2p313bwm,
author = {Ewaryst Rafaj\l owicz and Krystyn Stycze\'n and Wojciech Rafaj\l owicz},
title = {A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {22},
year = {2012},
pages = {313-326},
zbl = {1286.49032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv22i2p313bwm}
}
Ewaryst Rafajłowicz; Krystyn Styczeń; Wojciech Rafajłowicz. A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) pp. 313-326. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv22i2p313bwm/
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