Numerical solutions and algorithms for optimal control problems

مقدم أطروحة جامعية

Hasan, Siba Sattar

الجامعة

الجامعة التكنولوجية

الكلية

-

القسم الأكاديمي

قسم العلوم التطبيقية

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2006

الملخص الإنجليزي

This thesis presents some approximate solutions to both linear and nonlinear quadratic optimal control problems that are governed by a system of ordinary differential equations which represent the constraints.

The proposed method is classified as direct method which is employed by using state vector parameterization (SVP) to convert the quadratic optimal control problems into quadratic programming problem.

The state vector parameterization is based on spline polynomials including: B-spline and Carmel-Rom spline as basic functions to approximate the system state variables by a finite length of the basic functions series of unknown parameters.

Furthermore, some important formulas concerning the spline polynomials are derived and proved which are essential in the proposed method.

Finally, the proposed algorithms have been applied for several examples giving satisfactory results.

التخصصات الرئيسية

الرياضيات

الموضوعات

• بحوث العمليات
• النماذج الرياضية
• التحليل الرياضي
• أساليب المحاكاة
• نظرية التحكم

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-306314