期刊
JOURNAL OF VIBRATION AND CONTROL
卷 16, 期 13, 页码 1967-1976出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546309353361
关键词
Fractional calculus; fractional Hamiltonian; fractional optimal control; fractional variational principles
资金
- Scientific and Technical Research Council of Turkey
In many applications, fractional derivatives provide better descriptions of the behavior of dynamic systems than other techniques. For this reason, fractional calculus has been used to analyze systems having noninteger order dynamics and to solve fractional optimal control problems. In this study, we describe a formulation for fractional optimal control problems defined in multi-dimensions. We consider the case where the dimensions of the state and control variables are different from each other. Riemann-Liouville fractional derivatives are used to formulate the problem. The fractional differential equations involving the state and control variables are solved using Grunwald-Letnikov approximation. The performance of the formulation is shown using an example.
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