A numerical method for approximating the solution of fuzzy fractional optimal control problems in caputo sense using legendre functions

• Published in: Journal of intelligent & fuzzy systems Vol. 43; no. 3; pp. 3827 - 3858
• Main Authors: Mirvakili, M., Allahviranloo, T., Soltanian, F.
• Format: Journal Article
• Language: English
• Published: Amsterdam IOS Press BV 01.01.2022
• Subjects: Ambiguity; Approximation; Basis functions; Differential equations; Dynamical systems; Euler-Lagrange equation; Fractional calculus; Fuzzy control; Fuzzy sets; Initial conditions; Lagrange multiplier; Legendre functions; Numerical analysis; Numerical methods; Optimal control; Performance indices; Polynomials; Time invariant systems; Time varying control systems

Fractional order differential equations accurately model dynamic systems and processes. In some of the fractional optimal control problems (FOCPs), due to the ambiguity in the initial conditions and the transfer of ambiguity to the solution, it is necessary to use fuzzy mathematics. In this paper, a...