کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5470835 1519380 2018 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints
ترجمه فارسی عنوان
یک رویکرد مستقیم برای حل مسائل کنترل بهینه غیر خطی با تاخیرهای چندگانه که با محدودیت های مخلوط دولت مواجه هستند
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
This paper deals with the numerical investigation of nonlinear optimal control problems with multiple delays in which the state trajectory and control input are subject to mixed state-control constraints. A direct approach based on a hybrid of block-pulse functions and Lagrange interpolation is proposed. The constrained optimal control problem is first reformulated as an unconstrained optimization one using a penalty function technique. The resulting optimization problem is then solved by means of the Lagrange multipliers procedure. The proposed framework is an extension and also a modification of the conventional Lagrange interpolation. Combining block-pulse functions and Lagrange interpolation allows one to simultaneously make use the advantages of the two mentioned bases. The operational matrices of delay and derivative associated with the hybrid functions are presented. An upper error bound for the proposed hybrid functions with respect to the maximum norm is obtained. Simulation studies are provided to verify the validity and reliability of the developed procedure.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 53, January 2018, Pages 189-213
نویسندگان
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