A new command shaping guidance law using Lagrange multiplier

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dc.contributor.author Lee, Chang-Hun
dc.contributor.author Shin, Hyo-Sang
dc.contributor.author Tsourdos, Antonios
dc.contributor.author Lee, Jin-Ik
dc.date.accessioned 2018-03-19T19:01:17Z
dc.date.available 2018-03-19T19:01:17Z
dc.date.issued 2017-10-18
dc.identifier.citation Lee CH, Shin HS, Tsourdos A, Lee JI, A new command shaping guidance law using Lagrange multiplier, IFAC-PapersOnLine, Vol. 50, Issue 1, July 2017, pp. 15185-15190 en_UK
dc.identifier.issn 2405-8963
dc.identifier.uri https://doi.org/10.1016/j.ifacol.2017.08.2351
dc.identifier.uri https://dspace.lib.cranfield.ac.uk/handle/1826/13105
dc.description.abstract This article presents a new command shaping guidance law by change of Lagrange multiplier (LM), called CSGL-LM. The Schwarz inequality approach is used to solve the optimal guidance problems considering both terminal constraints on interception and impact angle control. LM is introduced to combine two terminal constraints into a single equation. The main idea of this paper is to use LM as a design parameter for shaping the guidance command as well as controlling the terminal constraints. The guidance command of CSGL-LM is given a unified functional form of the time-to-go, the state variables, and LM. Therefore, through an appropriate choice of LM, we can achieve various shapes of the guidance commands for the interception case, as well as the impact angle control case. As illustrative examples, this paper also shows that a class of previous guidance laws is just one of particular solutions of CSGL-LM. Numerical simulations are performed to validate the properties of CSGL-LM, compared with the conventional guidance law. en_UK
dc.language.iso en en_UK
dc.publisher Elsevier en_UK
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 International *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.subject Lagrange multiplier en_UK
dc.subject Guidance law en_UK
dc.subject Command shaping en_UK
dc.subject Schwarz inequality en_UK
dc.title A new command shaping guidance law using Lagrange multiplier en_UK
dc.type Article en_UK

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