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

## 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 |
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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 |

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