On representation formulas for optimal control: A Lagrangian perspective
DC Field | Value | Language |
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dc.contributor.author | Kim, Yeoneung | - |
dc.contributor.author | Yang, Insoon | - |
dc.date.accessioned | 2022-10-06T01:40:05Z | - |
dc.date.available | 2022-10-06T01:40:05Z | - |
dc.date.issued | 2022-11 | - |
dc.identifier.issn | 1751-8644 | - |
dc.identifier.issn | 1751-8652 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/85612 | - |
dc.description.abstract | This paper studies the representation formulas for finite-horizon optimal control problems with or without state constraints, unifying two different viewpoints: the Lagrangian and dynamic programming frameworks. In a recent work by Lee and Tomlin [1], the generalised Lax formula is obtained via dynamic programming for optimal control problems with state constraints and non-linear systems. We revisit the formula from the Lagrangian perspective to provide a unified framework for understanding and implementing the non-trivial representation of the value function. Our simple derivation makes direct use of the Lagrangian formula from the theory of Hamilton-Jacobi equations. We also discuss a rigorous way to construct an optimal control using a delta-net, as well as a numerical scheme for controller synthesis via convex optimisation. | - |
dc.format.extent | 12 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | WILEY | - |
dc.title | On representation formulas for optimal control: A Lagrangian perspective | - |
dc.type | Article | - |
dc.identifier.wosid | 000836881900001 | - |
dc.identifier.doi | 10.1049/cth2.12329 | - |
dc.identifier.bibliographicCitation | IET CONTROL THEORY AND APPLICATIONS, v.16, no.16, pp 1633 - 1644 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.scopusid | 2-s2.0-85135466308 | - |
dc.citation.endPage | 1644 | - |
dc.citation.startPage | 1633 | - |
dc.citation.title | IET CONTROL THEORY AND APPLICATIONS | - |
dc.citation.volume | 16 | - |
dc.citation.number | 16 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.relation.journalResearchArea | Automation & Control Systems | - |
dc.relation.journalResearchArea | Engineering | - |
dc.relation.journalResearchArea | Instruments & Instrumentation | - |
dc.relation.journalWebOfScienceCategory | Automation & Control Systems | - |
dc.relation.journalWebOfScienceCategory | Engineering, Electrical & Electronic | - |
dc.relation.journalWebOfScienceCategory | Instruments & Instrumentation | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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