Generalized formulation of linear nonquadratic weighted optimal error shaping guidance laws

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dc.contributor.authorCho, Namhoon
dc.contributor.authorKim, Youdan
dc.contributor.authorShin, Hyosang
dc.date.accessioned2020-01-14T18:08:39Z
dc.date.available2020-01-14T18:08:39Z
dc.date.issued2019-12-29
dc.description.abstractThis study presents a novel extension to the theory of optimal guidance laws represented by the nontraditional class of performance indices: nonquadratic-type signal Lp" role="presentation">Lp norm for the input weighted by an arbitrary positive function. Various missile guidance problems are generally formulated into a scalar terminal control problem based on the understanding of the predictor–corrector nature. Then, a new approach to derive the optimal feedback law, minimizing the nonquadratic performance index, is proposed by using the Hölderian inequality. The proposed extension allows a more general family of formulations for the design of closed-form feedback solutions to various guidance problems to be treated in a unified framework. The equivalence between the proposed approach and other design methodologies is investigated. In general, the type of input norm mainly determines the variability of input during the engagement while trading off against the rate of error convergence. The analytic solution derived in this study is verified by comparison with the solution from numerical optimization, and the effect of the exponent p" role="presentation">p in the performance index on the trajectory and command is demonstrated by numerical simulations.en_UK
dc.identifier.citationChe N, Kim Y, Shin H-S. (2020)Generalized formulation of linear nonquadratic weighted optimal error shaping guidance laws. Journal of Guidance, Control, and Dynamics, Volume 43, Issue 6, June 2020, pp. 1143-1153en_UK
dc.identifier.issn0731-5090
dc.identifier.urihttps://doi.org/10.2514/1.G004813
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/14919
dc.language.isoenen_UK
dc.publisherAIAAen_UK
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.titleGeneralized formulation of linear nonquadratic weighted optimal error shaping guidance lawsen_UK
dc.typeArticleen_UK

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