| Autor: |
Tirumalasetty Chiranjeevi, Raj Kumar Biswas, Ramesh Devarapalli, Naladi Ram Babu, Fausto Pedro García Márquez |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Archives of Control Sciences, Vol vol. 31, Iss No 4, Pp 849-863 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1230-2384 |
| DOI: |
10.24425/acs.2021.139733 |
| Popis: |
In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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