Estimation of non-symmetric and unbounded region of attraction using shifted shape function and R-composition

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dc.contributor.authorLi, Dongyang
dc.contributor.authorIgnatyev, Dmitry
dc.contributor.authorTsourdos, Antonios
dc.contributor.authorWang, Zhongyuan
dc.date.accessioned2022-11-24T18:21:27Z
dc.date.available2022-11-24T18:21:27Z
dc.date.issued2022-09-21
dc.description.abstractSum-of-squares programming is widely used for region of attraction (ROA) estimations of asymptotically stable equilibrium points of nonlinear polynomial systems. However, existing methods yield conservative results, especially for non-symmetric and unbounded regions. In this study, a cost-effective approach for ROA estimation is proposed based on the Lyapunov theory and shape functions. In contrast to existing methods, the proposed method iteratively places the center of a shifted shape function (SSF) close to the boundary of the acquired invariant subset. The set of obtained SSFs yields robust ROA subsets, and R-composition is employed to express these independent sets as a single but richer-shaped level set. Several benchmark examples show that the proposed method significantly improves ROA estimations, especially for non-symmetric or unbounded ROA without a significant computational burden.en_UK
dc.identifier.citationLi D, Ignatyev D, Tsourdos A, Wang Z. (2023) Estimation of non-symmetric and unbounded region of attraction using shifted shape function and R-composition. ISA Transactions, Volume 136, May 2023, pp. 308-322en_UK
dc.identifier.issn0019-0578
dc.identifier.urihttps://doi.org/10.1016/j.isatra.2022.11.015
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/18741
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNon-symmetric and unbounded region of attractionen_UK
dc.subjectShape functionen_UK
dc.subjectPolynomial nonlinear systemen_UK
dc.subjectSum of squares programmingen_UK
dc.subjectLyapunov stabilityen_UK
dc.titleEstimation of non-symmetric and unbounded region of attraction using shifted shape function and R-compositionen_UK
dc.typeArticleen_UK

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