Two numerical methods for nonlinear constrained quadratic optimal control problems using linear B-spline functions

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 6، شماره 2 - شماره پیاپی 10، آذر 2016، صفحه 17-38   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v6i2.40590

نویسندگان

Y. Edrisi-Tabri¹؛ M. Lakestani^{* 2}؛ A. Heydari¹

¹Department of Mathematics, Payame Noor University, Tehran, Iran.

²Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

چکیده

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.

کلیدواژه‌ها

Optimal control problem؛ Linear B-spline function؛ Integration matrix؛ Collocation method

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