Maximum principle for the optimal control of the Obukhov model

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

Authors

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

Conference proceedings International

Title: Proceedings of the 2018 13th APCA International Conference on Control and Soft Computing (CONTROLO)

Pages: 294-299

Indexing

ISI Web of Knowledge - 0 Citations

ISI Web of Science

Scopus - 0 Citations

INSPEC

Other information

Authenticus ID: P-00P-YBQ

DOI: 10.1109/controlo.2018.8514263

Abstract (EN): The Pontryagin maximum principle is apllied to the Obukhov continuous hydrodynamic shell model in one space dimension restricted only to three shells. It is shown that many information can be extracted by simply reasoning with the conditions of the maximum principle, and, on the other hand, that this effort can become cumbersome. Thus, there are limits to what can be achieved in an efficient way in terms of computing the solution to the optimal control problem. The numerical computation of solutions to this optimal control problem based on a 'brute-force' type of shooting method reveals the existence of switching points in the control. © 2018 IEEE.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6