A Hybrid Direct–Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
| Autor: | Maria do Rosário de Pinho, Zahra Foroozandeh, Mostafa Shamsi |
|---|---|
| Přispěvatelé: | Faculdade de Engenharia |
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization 021103 operations research General Mathematics 0211 other engineering and technologies Structure (category theory) General Physics and Astronomy 02 engineering and technology General Chemistry Optimal control Indirect approach Euler method symbols.namesake 020901 industrial engineering & automation Shooting method Singular solution symbols General Earth and Planetary Sciences A priori and a posteriori Order (group theory) General Agricultural and Biological Sciences Mathematics |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-017-0176-2 |
| Popis: | This paper presents a hybrid approach to solve singular optimal control problems. It combines the direct Euler method with a modified indirect shooting method. The presented method circumvents the main difficulties and drawbacks of both the direct and indirect methods, when applied to the singular optimal control problems. This method does not require a priori knowledge of the switching structure of the solution and it can be applied to finite or infinite order singular optimal control problems. It provides not only an approximate optimal solution for the problem but, remarkably, it also produces the switching times. We illustrate the features of this new approach treating numerically through two optimal control problems, one of finite order and the other with infinite order. |
| Databáze: | OpenAIRE |
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