Exploring a multi-objective approach for optimal control problems via a direct multiple shooting method

This paper explores the use of a multi-objective approach through the implementation of a numerical direct multiple shooting (MS) method to solve optimal control problems (OCP). When a direct MS method is used to solve the OCP, a set of `continuity constraints' emerges and should be satisfied t...

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Bibliographic Details
Main Author: Ramadas, Gisela C. V. (author)
Other Authors: Fernandes, Edite M. G. P. (author), Rocha, Ana Maria A. C. (author), Costa, M. Fernanda P. (author)
Format: conferenceObject
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.22/15880
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/15880
Description
Summary:This paper explores the use of a multi-objective approach through the implementation of a numerical direct multiple shooting (MS) method to solve optimal control problems (OCP). When a direct MS method is used to solve the OCP, a set of `continuity constraints' emerges and should be satisfied together with the other algebraic mixed states and control constraints. To minimize the objective function and satisfy all the constraint conditions, the finite-dimensional optimization problem is reformulated as a multi-objective problem with three objectives to be optimized. An illustrative example is included to show that the present methodology is worth pursuing.