Discrete-time fractional optimal control (Q2359597)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete-time fractional optimal control |
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Discrete-time fractional optimal control (English)
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22 June 2017
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Summary: A formulation and solution of the discrete-time fractional optimal control problem in terms of the Caputo fractional derivative is presented in this paper. The Performance Index (PI) is considered in a quadratic form. Necessary and transversality conditions are obtained using a Hamiltonian approach. Both the free and fixed final state cases have been considered. Numerical examples are taken up and their solution technique is presented. Results are produced for different values of \(\alpha\).
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optimal control
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fractional derivative
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Hamiltonian approach
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fractional order system
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