2015
Martínez-Frutos, Jesús; Kessler, Mathieu; Periago, Francisco
Robust optimal shape design for an elliptic PDE with uncertainty in its input data Journal Article
In: ESAIM: COCV, vol. 21, no. 4, pp. 901–923, 2015, ISSN: 1262-3377.
@article{Martínez-Frutos2015,
title = {Robust optimal shape design for an elliptic PDE with uncertainty in its input data},
author = {Jesús Martínez-Frutos and Mathieu Kessler and Francisco Periago},
doi = {10.1051/cocv/2014049},
issn = {1262-3377},
year = {2015},
date = {2015-05-20},
urldate = {2015-05-20},
journal = {ESAIM: COCV},
volume = {21},
number = {4},
pages = {901--923},
publisher = {EDP Sciences},
keywords = {19274/PI/14, Computational Mathematics, Control and Optimization, Control and Systems Engineering},
pubstate = {published},
tppubtype = {article}
}
2013
Münch, Arnaud; Periago, Francisco
Numerical approximation of bang–bang controls for the heat equation: An optimal design approach Journal Article
In: Systems & Control Letters, vol. 62, no. 8, pp. 643–655, 2013, ISSN: 0167-6911.
@article{Münch2013,
title = {Numerical approximation of bang–bang controls for the heat equation: An optimal design approach},
author = {Arnaud Münch and Francisco Periago},
doi = {10.1016/j.sysconle.2013.04.009},
issn = {0167-6911},
year = {2013},
date = {2013-08-00},
urldate = {2013-08-00},
journal = {Systems & Control Letters},
volume = {62},
number = {8},
pages = {643--655},
publisher = {Elsevier BV},
keywords = {Control and Systems Engineering, Electrical and Electronic Engineering, General Computer Science, Mechanical Engineering},
pubstate = {published},
tppubtype = {article}
}
Font, Roberto; Pedregal, Pablo; Periago, Francisco
A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing‐venting control system of manned submarines Journal Article
In: Optim Control Appl Methods, vol. 34, no. 2, pp. 236–252, 2013, ISSN: 1099-1514.
@article{Font2012,
title = {A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing‐venting control system of manned submarines},
author = {Roberto Font and Pablo Pedregal and Francisco Periago},
doi = {10.1002/oca.2024},
issn = {1099-1514},
year = {2013},
date = {2013-03-00},
urldate = {2013-03-00},
journal = {Optim Control Appl Methods},
volume = {34},
number = {2},
pages = {236--252},
publisher = {Wiley},
abstract = {<jats:title>SUMMARY</jats:title><jats:p>On the basis of the classical variational reformulation of optimal control problems, we introduce a numerical scheme for solving those problems where the goal is the computation of optimal controls in feedback and digital forms defined on a discrete time mesh. The algorithm reduces the computation of such controls to solving a suitable nonlinear mathematical programming problem where the unknowns are the controls and slope of the state variable of the original problem. The motivation for this study comes from the real‐world engineering problem which consists of maneuvering a manned submarine by using the blowing‐venting control system of the ballast tanks of the vehicle. After checking the proposed algorithm in an academic example, we apply it to the maneuvering problem of submarines whose mathematical model includes a state law which is composed of a system of twenty‐four nonlinear ordinary differential equations. Numerical results illustrate the performance of the numerical scheme. Copyright © 2012 John Wiley & Sons, Ltd.</jats:p>},
keywords = {Applied Mathematics, Control and Optimization, Control and Systems Engineering, Software},
pubstate = {published},
tppubtype = {article}
}
<jats:title>SUMMARY</jats:title><jats:p>On the basis of the classical variational reformulation of optimal control problems, we introduce a numerical scheme for solving those problems where the goal is the computation of optimal controls in feedback and digital forms defined on a discrete time mesh. The algorithm reduces the computation of such controls to solving a suitable nonlinear mathematical programming problem where the unknowns are the controls and slope of the state variable of the original problem. The motivation for this study comes from the real‐world engineering problem which consists of maneuvering a manned submarine by using the blowing‐venting control system of the ballast tanks of the vehicle. After checking the proposed algorithm in an academic example, we apply it to the maneuvering problem of submarines whose mathematical model includes a state law which is composed of a system of twenty‐four nonlinear ordinary differential equations. Numerical results illustrate the performance of the numerical scheme. Copyright © 2012 John Wiley & Sons, Ltd.</jats:p>
2009
Periago, Francisco
Optimal shape and position of the support for the internal exact control of a string Journal Article
In: Systems & Control Letters, vol. 58, no. 2, pp. 136–140, 2009, ISSN: 0167-6911.
@article{Periago2009,
title = {Optimal shape and position of the support for the internal exact control of a string},
author = {Francisco Periago},
doi = {10.1016/j.sysconle.2008.08.007},
issn = {0167-6911},
year = {2009},
date = {2009-02-00},
urldate = {2009-02-00},
journal = {Systems & Control Letters},
volume = {58},
number = {2},
pages = {136--140},
publisher = {Elsevier BV},
keywords = {Control and Systems Engineering, Electrical and Electronic Engineering, General Computer Science, Mechanical Engineering},
pubstate = {published},
tppubtype = {article}
}
