UTHM Institutional Repository

A comparative study for solving non-classical optimal control problem using Euler, Runge-Kutta and shooting methods

W. Ahmad, Wan N. A. and Rusiman, Mohd Saifullah and Sufahani, Suliadi F. and Zinober, Alan and Khamis, Azme and Abdullah, Mohd Asrul Affendi and Arbin, Norazman (2017) A comparative study for solving non-classical optimal control problem using Euler, Runge-Kutta and shooting methods. Far East Journal of Mathematical Sciences (FJMS), 102 (10). pp. 2447-2458. ISSN 09720871

Full text not available from this repository.

Abstract

A current optimal control problem has the numerical properties that do not fall into the standard optimal control problem detailing. In our concern, the state incentive at the final time, y(T ) = z, is free and obscure, and furthermore, the integrand is a piecewise consistent capacity of the obscure esteem y(T ). This is not a standard optimal control problem and cannot be settled utilizing Pontryagin’s minimum principle with the standard limit conditions at the final time. In the standard issue, a free final state y(T ) yields an important limit condition p(T ) = 0, where p(t) is the costate. Since the integrand is a component of y(T ), the new fundamental condition is that y(T ) yields to be equivalent to a necessary consistent capacity of z. We tackle a case utilizing a C++ shooting method with Newton emphasis for tackling the two point boundary value problem (TPBVP). The limiting free y(T ) value is computed in an external circle emphasis through the golden section method. Comparative nonlinear programming through Euler and Runge-Kutta is also presented.

Item Type: Article
Uncontrolled Keywords: Optimal control; calculus of variation; numerical method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Mr. Mohammad Shaifulrip Ithnin
Date Deposited: 30 Apr 2019 01:07
Last Modified: 30 Apr 2019 01:07
URI: http://eprints.uthm.edu.my/id/eprint/10983
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item