Data-Driven Distributionally Robust Mixed-Integer Control through Lifted Control Policy Article Swipe
Xutao Ma
,
Chao Ning
,
Wenli Du
,
Yang Shi
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2502.05469
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2502.05469
This paper investigates the finite-horizon distributionally robust mixed-integer control (DRMIC) of uncertain linear systems. However, deriving an optimal causal feedback control policy to this DRMIC problem is computationally formidable for most ambiguity sets. To address the computational challenge, we propose a novel distributionally robust lifted control policy (DR-LCP) method to derive a high-quality approximate solution to this DRMIC problem for a rich class of Wasserstein metric-based ambiguity sets, including the Wasserstein ambiguity set and its variants. In theory, we analyze the asymptotic performance and establish a tight non-asymptotic bound of the proposed method. In numerical experiments, the proposed DR-LCP method empirically demonstrates superior performance compared with existing methods in the literature.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2502.05469
- https://arxiv.org/pdf/2502.05469
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4407384874
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4407384874Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2502.05469Digital Object Identifier
- Title
-
Data-Driven Distributionally Robust Mixed-Integer Control through Lifted Control PolicyWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-02-08Full publication date if available
- Authors
-
Xutao Ma, Chao Ning, Wenli Du, Yang ShiList of authors in order
- Landing page
-
https://arxiv.org/abs/2502.05469Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2502.05469Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2502.05469Direct OA link when available
- Concepts
-
Integer (computer science), Control (management), Integer programming, Robust control, Mathematical optimization, Computer science, Control theory (sociology), Econometrics, Mathematics, Control system, Engineering, Artificial intelligence, Programming language, Electrical engineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4407384874 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2502.05469 |
| ids.doi | https://doi.org/10.48550/arxiv.2502.05469 |
| ids.openalex | https://openalex.org/W4407384874 |
| fwci | |
| type | preprint |
| title | Data-Driven Distributionally Robust Mixed-Integer Control through Lifted Control Policy |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10791 |
| topics[0].field.id | https://openalex.org/fields/22 |
| topics[0].field.display_name | Engineering |
| topics[0].score | 0.9919999837875366 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2207 |
| topics[0].subfield.display_name | Control and Systems Engineering |
| topics[0].display_name | Advanced Control Systems Optimization |
| topics[1].id | https://openalex.org/T11236 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9807000160217285 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2207 |
| topics[1].subfield.display_name | Control and Systems Engineering |
| topics[1].display_name | Control Systems and Identification |
| topics[2].id | https://openalex.org/T10876 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9635000228881836 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2207 |
| topics[2].subfield.display_name | Control and Systems Engineering |
| topics[2].display_name | Fault Detection and Control Systems |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C97137487 |
| concepts[0].level | 2 |
| concepts[0].score | 0.6593085527420044 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q729138 |
| concepts[0].display_name | Integer (computer science) |
| concepts[1].id | https://openalex.org/C2775924081 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6286084651947021 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q55608371 |
| concepts[1].display_name | Control (management) |
| concepts[2].id | https://openalex.org/C56086750 |
| concepts[2].level | 2 |
| concepts[2].score | 0.5806014537811279 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q6042592 |
| concepts[2].display_name | Integer programming |
| concepts[3].id | https://openalex.org/C31531917 |
| concepts[3].level | 3 |
| concepts[3].score | 0.474975049495697 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q915157 |
| concepts[3].display_name | Robust control |
| concepts[4].id | https://openalex.org/C126255220 |
| concepts[4].level | 1 |
| concepts[4].score | 0.4134463965892792 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q141495 |
| concepts[4].display_name | Mathematical optimization |
| concepts[5].id | https://openalex.org/C41008148 |
| concepts[5].level | 0 |
| concepts[5].score | 0.37949180603027344 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[5].display_name | Computer science |
| concepts[6].id | https://openalex.org/C47446073 |
| concepts[6].level | 3 |
| concepts[6].score | 0.35560333728790283 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q5165890 |
| concepts[6].display_name | Control theory (sociology) |
| concepts[7].id | https://openalex.org/C149782125 |
| concepts[7].level | 1 |
| concepts[7].score | 0.3378005921840668 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q160039 |
| concepts[7].display_name | Econometrics |
| concepts[8].id | https://openalex.org/C33923547 |
| concepts[8].level | 0 |
| concepts[8].score | 0.30123960971832275 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[8].display_name | Mathematics |
| concepts[9].id | https://openalex.org/C17500928 |
| concepts[9].level | 2 |
| concepts[9].score | 0.21650385856628418 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q959968 |
| concepts[9].display_name | Control system |
| concepts[10].id | https://openalex.org/C127413603 |
| concepts[10].level | 0 |
| concepts[10].score | 0.1689641773700714 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[10].display_name | Engineering |
| concepts[11].id | https://openalex.org/C154945302 |
| concepts[11].level | 1 |
| concepts[11].score | 0.1199968159198761 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[11].display_name | Artificial intelligence |
| concepts[12].id | https://openalex.org/C199360897 |
| concepts[12].level | 1 |
| concepts[12].score | 0.0 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q9143 |
| concepts[12].display_name | Programming language |
| concepts[13].id | https://openalex.org/C119599485 |
| concepts[13].level | 1 |
| concepts[13].score | 0.0 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q43035 |
| concepts[13].display_name | Electrical engineering |
| keywords[0].id | https://openalex.org/keywords/integer |
| keywords[0].score | 0.6593085527420044 |
| keywords[0].display_name | Integer (computer science) |
| keywords[1].id | https://openalex.org/keywords/control |
| keywords[1].score | 0.6286084651947021 |
| keywords[1].display_name | Control (management) |
| keywords[2].id | https://openalex.org/keywords/integer-programming |
| keywords[2].score | 0.5806014537811279 |
| keywords[2].display_name | Integer programming |
| keywords[3].id | https://openalex.org/keywords/robust-control |
| keywords[3].score | 0.474975049495697 |
| keywords[3].display_name | Robust control |
| keywords[4].id | https://openalex.org/keywords/mathematical-optimization |
| keywords[4].score | 0.4134463965892792 |
| keywords[4].display_name | Mathematical optimization |
| keywords[5].id | https://openalex.org/keywords/computer-science |
| keywords[5].score | 0.37949180603027344 |
| keywords[5].display_name | Computer science |
| keywords[6].id | https://openalex.org/keywords/control-theory |
| keywords[6].score | 0.35560333728790283 |
| keywords[6].display_name | Control theory (sociology) |
| keywords[7].id | https://openalex.org/keywords/econometrics |
| keywords[7].score | 0.3378005921840668 |
| keywords[7].display_name | Econometrics |
| keywords[8].id | https://openalex.org/keywords/mathematics |
| keywords[8].score | 0.30123960971832275 |
| keywords[8].display_name | Mathematics |
| keywords[9].id | https://openalex.org/keywords/control-system |
| keywords[9].score | 0.21650385856628418 |
| keywords[9].display_name | Control system |
| keywords[10].id | https://openalex.org/keywords/engineering |
| keywords[10].score | 0.1689641773700714 |
| keywords[10].display_name | Engineering |
| keywords[11].id | https://openalex.org/keywords/artificial-intelligence |
| keywords[11].score | 0.1199968159198761 |
| keywords[11].display_name | Artificial intelligence |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2502.05469 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://arxiv.org/pdf/2502.05469 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2502.05469 |
| locations[1].id | doi:10.48550/arxiv.2502.05469 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | cc-by |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | https://openalex.org/licenses/cc-by |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2502.05469 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5102745520 |
| authorships[0].author.orcid | https://orcid.org/0009-0001-7876-8576 |
| authorships[0].author.display_name | Xutao Ma |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Ma, Xutao |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5101987935 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-3064-9551 |
| authorships[1].author.display_name | Chao Ning |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Ning, Chao |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5048267931 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-2676-6341 |
| authorships[2].author.display_name | Wenli Du |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Du, Wenli |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5028730873 |
| authorships[3].author.orcid | https://orcid.org/0000-0003-1337-5322 |
| authorships[3].author.display_name | Yang Shi |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Shi, Yang |
| authorships[3].is_corresponding | False |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2502.05469 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Data-Driven Distributionally Robust Mixed-Integer Control through Lifted Control Policy |
| has_fulltext | True |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10791 |
| primary_topic.field.id | https://openalex.org/fields/22 |
| primary_topic.field.display_name | Engineering |
| primary_topic.score | 0.9919999837875366 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2207 |
| primary_topic.subfield.display_name | Control and Systems Engineering |
| primary_topic.display_name | Advanced Control Systems Optimization |
| related_works | https://openalex.org/W2052299349, https://openalex.org/W4297728441, https://openalex.org/W1901944325, https://openalex.org/W2789801754, https://openalex.org/W2187824534, https://openalex.org/W2148720069, https://openalex.org/W2047683846, https://openalex.org/W2044902158, https://openalex.org/W2109912052, https://openalex.org/W1711527768 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2502.05469 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2502.05469 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2502.05469 |
| primary_location.id | pmh:oai:arXiv.org:2502.05469 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://arxiv.org/pdf/2502.05469 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2502.05469 |
| publication_date | 2025-02-08 |
| publication_year | 2025 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 40, 51, 60, 85 |
| abstract_inverted_index.In | 76, 93 |
| abstract_inverted_index.To | 33 |
| abstract_inverted_index.an | 16 |
| abstract_inverted_index.in | 108 |
| abstract_inverted_index.is | 26 |
| abstract_inverted_index.of | 10, 63, 89 |
| abstract_inverted_index.to | 22, 49, 55 |
| abstract_inverted_index.we | 38, 78 |
| abstract_inverted_index.and | 73, 83 |
| abstract_inverted_index.for | 29, 59 |
| abstract_inverted_index.its | 74 |
| abstract_inverted_index.set | 72 |
| abstract_inverted_index.the | 3, 35, 69, 80, 90, 96, 109 |
| abstract_inverted_index.This | 0 |
| abstract_inverted_index.most | 30 |
| abstract_inverted_index.rich | 61 |
| abstract_inverted_index.this | 23, 56 |
| abstract_inverted_index.with | 105 |
| abstract_inverted_index.DRMIC | 24, 57 |
| abstract_inverted_index.bound | 88 |
| abstract_inverted_index.class | 62 |
| abstract_inverted_index.novel | 41 |
| abstract_inverted_index.paper | 1 |
| abstract_inverted_index.sets, | 67 |
| abstract_inverted_index.sets. | 32 |
| abstract_inverted_index.tight | 86 |
| abstract_inverted_index.DR-LCP | 98 |
| abstract_inverted_index.causal | 18 |
| abstract_inverted_index.derive | 50 |
| abstract_inverted_index.lifted | 44 |
| abstract_inverted_index.linear | 12 |
| abstract_inverted_index.method | 48, 99 |
| abstract_inverted_index.policy | 21, 46 |
| abstract_inverted_index.robust | 6, 43 |
| abstract_inverted_index.(DRMIC) | 9 |
| abstract_inverted_index.address | 34 |
| abstract_inverted_index.analyze | 79 |
| abstract_inverted_index.control | 8, 20, 45 |
| abstract_inverted_index.method. | 92 |
| abstract_inverted_index.methods | 107 |
| abstract_inverted_index.optimal | 17 |
| abstract_inverted_index.problem | 25, 58 |
| abstract_inverted_index.propose | 39 |
| abstract_inverted_index.theory, | 77 |
| abstract_inverted_index.(DR-LCP) | 47 |
| abstract_inverted_index.However, | 14 |
| abstract_inverted_index.compared | 104 |
| abstract_inverted_index.deriving | 15 |
| abstract_inverted_index.existing | 106 |
| abstract_inverted_index.feedback | 19 |
| abstract_inverted_index.proposed | 91, 97 |
| abstract_inverted_index.solution | 54 |
| abstract_inverted_index.superior | 102 |
| abstract_inverted_index.systems. | 13 |
| abstract_inverted_index.ambiguity | 31, 66, 71 |
| abstract_inverted_index.establish | 84 |
| abstract_inverted_index.including | 68 |
| abstract_inverted_index.numerical | 94 |
| abstract_inverted_index.uncertain | 11 |
| abstract_inverted_index.variants. | 75 |
| abstract_inverted_index.asymptotic | 81 |
| abstract_inverted_index.challenge, | 37 |
| abstract_inverted_index.formidable | 28 |
| abstract_inverted_index.Wasserstein | 64, 70 |
| abstract_inverted_index.approximate | 53 |
| abstract_inverted_index.empirically | 100 |
| abstract_inverted_index.literature. | 110 |
| abstract_inverted_index.performance | 82, 103 |
| abstract_inverted_index.demonstrates | 101 |
| abstract_inverted_index.experiments, | 95 |
| abstract_inverted_index.high-quality | 52 |
| abstract_inverted_index.investigates | 2 |
| abstract_inverted_index.metric-based | 65 |
| abstract_inverted_index.computational | 36 |
| abstract_inverted_index.mixed-integer | 7 |
| abstract_inverted_index.finite-horizon | 4 |
| abstract_inverted_index.non-asymptotic | 87 |
| abstract_inverted_index.computationally | 27 |
| abstract_inverted_index.distributionally | 5, 42 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile |