Practical Method for Solving Quadratic Optimal Control Problem : Direct Solution Using Generalized Laguerre Polynomials

ISBN-13: 9783659813030 / Angielski / Miękka / 2015 / 72 str.

Halah Jaber; Suha Al-Rawi

Opis

Over the last two decades, the prominence in direct solution of optimal control problem has risen up due to the high accuracy. We concerned in this book with the approximate solution of finite linear quadratic optimal control problem that are governed by a system of ordinary differential equation. The proposed method is classified as direct method, which is employed by using special technique to convert the linear quadratic optimal Control problem into a quadratic programming problem. It is based on generalized Laguerre polynomials as a basis functions to approximate the system state variables by a finite length of the basis functions series of unknown parameters. Furthermore, some important formulas which are concerned the generalized Laguerre polynomials are derived and proved as essential in the proposed method. Finally, the proposed algorithm was illustrated by several examples. .

O autorze

Halah R. Jaber, M.Sc. in applied mathematics, took a position as a lecturer at Al-Mustansiriyah University, Baghdad from 2008 to 2015. Halah is fond of searching in optimal control problems, calculus of variation and numerical analysis. Now she is settling down in the United States of America.