Publications
Detailed Information
On representation formulas for optimal control: A Lagrangian perspective
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yeoneung | - |
dc.contributor.author | Yang, Insoon | - |
dc.date.accessioned | 2022-10-17T04:27:14Z | - |
dc.date.available | 2022-10-17T04:27:14Z | - |
dc.date.created | 2022-10-07 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | IET Control Theory and Applications, Vol.16 No.16, pp.1633-1644 | - |
dc.identifier.issn | 1751-8644 | - |
dc.identifier.uri | https://hdl.handle.net/10371/186254 | - |
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.language | 영어 | - |
dc.publisher | Institution of Engineering and Technology | - |
dc.title | On representation formulas for optimal control: A Lagrangian perspective | - |
dc.type | Article | - |
dc.identifier.doi | 10.1049/cth2.12329 | - |
dc.citation.journaltitle | IET Control Theory and Applications | - |
dc.identifier.wosid | 000836881900001 | - |
dc.identifier.scopusid | 2-s2.0-85135466308 | - |
dc.citation.endpage | 1644 | - |
dc.citation.number | 16 | - |
dc.citation.startpage | 1633 | - |
dc.citation.volume | 16 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Yang, Insoon | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
- Appears in Collections:
- Files in This Item:
- There are no files associated with this item.
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.