Discrete-Time Fractional Optimal Control

Tirumalasetty Chiranjeevi and Raj Kumar Biswas
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Tirumalasetty Chiranjeevi: Department of Electrical Engineering, National Institute of Technology, Silchar 788010, Assam, India
Raj Kumar Biswas: Department of Electrical Engineering, National Institute of Technology, Silchar 788010, Assam, India

Mathematics, 2017, vol. 5, issue 2, 1-12

Abstract: 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. The 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 ? .

Keywords: optimal control; fractional derivative; Hamiltonian approach; fractional order system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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