Generalized B-spline functions ‎method‎‎ for solving optimal control problems

نویسندگان
Edrisi Tabriz, Yousef ID 1
Heydari, Aghileh ID 2

1 Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran

2 Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran

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چکیده

‎In this paper we introduce a numerical approach that solves optimal control problems (OCPs) ‎using collocation methods‎. ‎This approach is based upon B-spline functions‎. ‎The derivative matrices between any two families of B-spline functions are utilized to‎ ‎reduce the solution of OCPs to the solution of nonlinear optimization problems‎. ‎Numerical experiments confirm our heoretical findings‎.

کلیدواژه‌ها
Optimal control problem‎, ‎B-spline functions‎, ‎Derivative matrix‎, ‎Collocation method