Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/107885
Author(s): | Maria do Rosário de Pinho Zahra Forouzandeh M. Shamsi |
Title: | A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems |
Issue Date: | 2017 |
Abstract: | This paper presents a new approach for the efficient solution of singular optimal control problems (SOCPs). A novel feature of the proposed method is that it does not require a priori knowledge of the structure of solution. At first, the SOCP is converted into a binary optimal control problem. Then, by utilising the pseudospectral method, the resulting problem is transcribed to a mixed-binary non-linear programming problem. This mixed-binary non-linear programming problem, which can be solved by well-known solvers, allows us to detect the structure of the optimal control and to compute the approximating solution. The main advantages of the present method are that: (1) without a priori information, the structure of optimal control is detected; (2) it produces good results even using a small number of collocation points; (3) the switching times can be captured accurately. These advantages are illustrated through a numerical implementation of the method on four examples. (c) 2017 Informa UK Limited, trading as Taylor & Francis Group |
URI: | https://hdl.handle.net/10216/107885 |
Document Type: | Artigo em Revista Científica Internacional |
Rights: | openAccess |
Appears in Collections: | FEUP - Artigo em Revista Científica Internacional |
Files in This Item:
File | Description | Size | Format | |
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220559.pdf | Preprint of Publication | 446.77 kB | Adobe PDF | View/Open |
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