Two numerical methods for nonlinear constrained quadratic optimal control problems using linear B-spline functions
نویسندگان
1 Department of Mathematics, Payame Noor University, Tehran, Iran.
2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
3 Department of Mathematics, Payame Noor University, Tehran, Iran.
doi
10.22067/ijnao.v6i2.40590چکیده
This paper presents two numerical methods for solving the nonlinear constrained optimal control problems including quadratic performance index. The methods are based upon linear B-spline functions. The properties of B-spline functions are presented. Two operational matrices of integration are introduced for related procedures. These matrices are then utilized to reduce the solution of the nonlinear constrained optimal control to a nonlinear programming one to which existing well-developed algorithms may be applied. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques.
