AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS

Yechiel Crispin

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Paper

AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS

Topics: Evolutionary Computation and Control; Genetic Algorithms; Optimization Algorithms

In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 49-57, 2004 , Setúbal, Portugal

Author: Yechiel Crispin

Affiliation: Embry-Riddle University, United States

Keyword(s): Optimal Control, Genetic Algorithms.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Evolutionary Computation and Control ; Evolutionary Computing ; Genetic Algorithms ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Optimization Algorithms ; Soft Computing

Abstract: The nonlinear discrete-time optimal control problem with terminal constraints is treated using a new evolutionary approach which combines a genetic search for finding the control sequence with a solution of the initial value problem for the state variables. The main advantage of the method is that it does not require to obtain the solution of the adjoint problem which usually leads to a two-point boundary value problem combined with an optimality condition for finding the control sequence. The method is verified by solving the problem of discrete velocity direction programming with the effects of gravity and thrust and a terminal constraint on the final vertical position. The solution compared favorably with the results of gradient methods.

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Paper citation in several formats:

Crispin, Y. (2004). AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS. In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 972-8865-12-0; ISSN 2184-2809, SciTePress, pages 49-57. DOI: 10.5220/0001134700490057

@conference{icinco04,
author={Yechiel Crispin.},
title={AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2004},
pages={49-57},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001134700490057},
isbn={972-8865-12-0},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - AN EVOLUTIONARY APPROACH TO NONLINEAR DISCRETE-TIME OPTIMAL CONTROL WITH TERMINAL CONSTRAINTS
SN - 972-8865-12-0
IS - 2184-2809
AU - Crispin, Y.
PY - 2004
SP - 49
EP - 57
DO - 10.5220/0001134700490057
PB - SciTePress