Numerical solutions and algorithms for optimal control problems

Dissertant

Hasan, Siba Sattar

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Master

Degree Date

2006

English Abstract

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.

Main Subjects

Mathematics

Topics

• Operations research
• Mathematical models
• Mathematical analysis
• Simulation methods
• Control theory

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-306314