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Fractional Chebyshev pseudospectral method for fractional optimal control problems
Author(s) -
Habibli M.,
Noori Skandari M.H.
Publication year - 2019
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2495
Subject(s) - chebyshev pseudospectral method , gauss pseudospectral method , pseudospectral optimal control , mathematics , fractional calculus , discretization , optimal control , chebyshev filter , algebraic equation , pseudo spectral method , mathematical optimization , chebyshev equation , mathematical analysis , nonlinear system , fourier transform , fourier analysis , orthogonal polynomials , classical orthogonal polynomials , physics , quantum mechanics
Summary In this paper, we introduce and apply a fractional pseudospectral method for indirectly solving a generic form of fractional optimal control problems. By employing the fractional Lagrange interpolating functions and discretizing the necessary optimality conditions at Chebyshev‐Gauss‐Lobatto points, the problem is converted into an algebraic system. By solving this system, the optimal solution of the main fractional optimal control problem is approximated. Finally, in some numerical examples, we show the applicability, efficiency, and accuracy of the proposed method comparing with some other methods.