Reduced Desensitization Formulation for Optimal Control Problems Article Swipe
Praveen Jawaharlal Ayyanathan
,
Ehsan Taheri
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s40295-024-00435-w
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s40295-024-00435-w
Solutions to nonlinear optimal control problems (OCPs) exhibit dispersions under model uncertainties and it is desirable to generate optimal solutions that exhibit less sensitivity to model uncertainties. We propose a novel solution desensitization method dubbed “Reduced Desensitization Formulation (RDF)” by leveraging non-uniqueness of the solution of the costate differential equations when a hybrid indirect-direct optimization method is used. A key property of the RDF method is a significant reduction in the number of differential equations needed for generating desensitized solutions. This feature facilitates the generation of open-loop desensitized trajectories and makes the methodology applicable to OCPs with a larger number of uncertain parameters. To demonstrate the utility of the RDF method, three important classes of trajectory optimization problems are considered with uncertainty in the thrust magnitude of the propulsion system: (1) minimum-fuel low-thrust interplanetary rendezvous maneuvers, (2) low-thrust orbit-raising maneuvers, and (3) minimum-fuel high-thrust rocket-landing problems. For the considered problems with bang-bang control profiles, an analysis is presented on the change in the number of control switches between sensitive and desensitized optimal solutions. Numerical results demonstrate desensitization of the considered performance indices with respect to the thrust magnitude of the propulsion system.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s40295-024-00435-w
- https://link.springer.com/content/pdf/10.1007/s40295-024-00435-w.pdf
- OA Status
- hybrid
- Cited By
- 2
- References
- 44
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4393201278
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Raw OpenAlex JSON
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- DOI
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https://doi.org/10.1007/s40295-024-00435-wDigital Object Identifier
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Reduced Desensitization Formulation for Optimal Control ProblemsWork title
- Type
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articleOpenAlex work type
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-03-26Full publication date if available
- Authors
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Praveen Jawaharlal Ayyanathan, Ehsan TaheriList of authors in order
- Landing page
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https://doi.org/10.1007/s40295-024-00435-wPublisher landing page
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https://link.springer.com/content/pdf/10.1007/s40295-024-00435-w.pdfDirect link to full text PDF
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s40295-024-00435-w.pdfDirect OA link when available
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Desensitization (medicine), Control (management), Computer science, Mathematical optimization, Psychology, Control theory (sociology), Mathematics, Medicine, Artificial intelligence, Internal medicine, ReceptorTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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2025: 1, 2024: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.magnitude | 126, 188 |
| abstract_inverted_index.nonlinear | 3 |
| abstract_inverted_index.open-loop | 87 |
| abstract_inverted_index.presented | 158 |
| abstract_inverted_index.problems. | 146 |
| abstract_inverted_index.profiles, | 154 |
| abstract_inverted_index.reduction | 69 |
| abstract_inverted_index.sensitive | 169 |
| abstract_inverted_index.solutions | 20 |
| abstract_inverted_index.uncertain | 102 |
| abstract_inverted_index.applicable | 94 |
| abstract_inverted_index.considered | 120, 149, 180 |
| abstract_inverted_index.generating | 78 |
| abstract_inverted_index.generation | 85 |
| abstract_inverted_index.leveraging | 41 |
| abstract_inverted_index.low-thrust | 133, 138 |
| abstract_inverted_index.maneuvers, | 136, 140 |
| abstract_inverted_index.propulsion | 129, 191 |
| abstract_inverted_index.rendezvous | 135 |
| abstract_inverted_index.solutions. | 80, 173 |
| abstract_inverted_index.trajectory | 116 |
| abstract_inverted_index.“Reduced | 36 |
| abstract_inverted_index.Formulation | 38 |
| abstract_inverted_index.demonstrate | 105, 176 |
| abstract_inverted_index.dispersions | 9 |
| abstract_inverted_index.facilitates | 83 |
| abstract_inverted_index.high-thrust | 144 |
| abstract_inverted_index.methodology | 93 |
| abstract_inverted_index.parameters. | 103 |
| abstract_inverted_index.performance | 181 |
| abstract_inverted_index.sensitivity | 24 |
| abstract_inverted_index.significant | 68 |
| abstract_inverted_index.uncertainty | 122 |
| abstract_inverted_index.desensitized | 79, 88, 171 |
| abstract_inverted_index.differential | 49, 74 |
| abstract_inverted_index.minimum-fuel | 132, 143 |
| abstract_inverted_index.optimization | 55, 117 |
| abstract_inverted_index.trajectories | 89 |
| abstract_inverted_index.orbit-raising | 139 |
| abstract_inverted_index.uncertainties | 12 |
| abstract_inverted_index.interplanetary | 134 |
| abstract_inverted_index.non-uniqueness | 42 |
| abstract_inverted_index.rocket-landing | 145 |
| abstract_inverted_index.uncertainties. | 27 |
| abstract_inverted_index.Desensitization | 37 |
| abstract_inverted_index.desensitization | 33, 177 |
| abstract_inverted_index.indirect-direct | 54 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 90 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.7900000214576721 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.86515048 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |