A Recursive Algorithm Based on the Maximum Principle of Pontryagin

• Type: Article in International Conference Proceedings Book
• Date: 2018

Authors

Fernando Lobo Pereira (Author) FEUP; Sílvio Gama (Author) FCUP; Nagwa Arafa (Author) Other; Roman Chertovskih (Author) FEUP

Conference proceedings International

Title: 2018 13TH APCA INTERNATIONAL CONFERENCE ON CONTROL AND SOFT COMPUTING (CONTROLO)

Pages: 288-293

13th APCA International Conference on Control and Soft Computing (CONTROLO)

Univ Azores, Ponta Delgada, PORTUGAL, JUN 04-06, 2018

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Authenticus ID: P-00P-YBT

DOI: 10.1109/controlo.2018.8514293

Abstract (EN): This article reports findings in designing a conceptual optimal control algorithm based on the maximum principle of Pontryagin and of the steepest descent type for a relaxed version of the original problem. Allowing the relaxation of initial condition in order to rewrite the two boundary value problem as one with boundary conditions in the same endpoint, key properties of this algorithm are proved. Then, some results are obtained by using an optimization algorithm of the same type for which off-the-shelf routines taking into account the numerical issues, which are always tricky for infinite dimensional problems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6