Solving multi-objective optimal control problems using a multiresolution approach
Parsonage, Ben and Maddock, Christie (2024) Solving multi-objective optimal control problems using a multiresolution approach. Journal of Guidance, Control, and Dynamics. ISSN 1533-3884 (https://doi.org/10.2514/1.g008223)
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Abstract
This paper presents an adaptive multiresolution strategy for multi-objective optimal control problems. The optimal control problem is solved using a direct approach, with individualistic grid adaptation facilitated by a local error analysis at element boundaries. Multiple objectives are considered using a dominance-based approach applying both local and global search methods to a collaborative population of unique solutions. These aspects are simultaneously incorporated via a novel application of evolutionary algorithms for adaptive optimal control problems. Together, this avoids the need for a priori specification of the quantity and temporal location of element boundaries and the set of scalarization weights defining the multi-objective descent directions. Solution fidelity can thus increase concurrently with the exploration of the design space, which leads to increased numerical efficiency while propagating and maintaining population diversity. The benefits of the proposed approach over traditional uniform-grid implementations are demonstrated. Results show that the multiresolution approach is capable of striking an effective balance between solution fidelity, population diversity, and computational cost unachievable using uniform grids.
ORCID iDs
Parsonage, Ben ORCID: https://orcid.org/0009-0001-3313-9661 and Maddock, Christie ORCID: https://orcid.org/0000-0003-1079-4863;-
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Item type: Article ID code: 91033 Dates: DateEvent23 October 2024Published23 October 2024Published Online1 August 2024Accepted22 January 2024SubmittedSubjects: Technology > Motor vehicles. Aeronautics. Astronautics > Aeronautics. Aeronautical engineering Department: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 01 Nov 2024 11:08 Last modified: 02 Nov 2024 21:52 URI: https://strathprints.strath.ac.uk/id/eprint/91033