Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 16, Issue 13, Pages 1967-1976Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546309353361
Keywords
Fractional calculus; fractional Hamiltonian; fractional optimal control; fractional variational principles
Categories
Funding
- Scientific and Technical Research Council of Turkey
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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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