dc.contributor.authorTang, Xiaojun
dc.contributor.authorShi, Yang
dc.contributor.authorWang, Li-Lian
dc.date.accessioned2017-09-12T06:03:03Z
dc.date.available2017-09-12T06:03:03Z
dc.date.issued2016
dc.identifier.citationTang, X., Shi, Y., & Wang, L.-L. (2017). A new framework for solving fractional optimal control problems using fractional pseudospectral methods. Automatica, 78, 333-340.en_US
dc.identifier.issn0005-1098en_US
dc.identifier.urihttp://hdl.handle.net/10220/43729
dc.description.abstractThe main purpose of this work is to provide new fractional pseudospectral methods for solving fractional optimal control problems (FOCPs). We develop differential and integral fractional pseudospectral methods and prove the equivalence between them from the distinctive perspective of Caputo fractional Birkhoff interpolation. As a result, the present work establishes a new unified framework for solving fractional optimal control problems using fractional pseudospectral methods, which can be viewed as an extension of existing frameworks. Furthermore, we provide exact, efficient, and stable approaches to compute the associated fractional pseudospectral differentiation/integration matrices even at millions of Jacobi-type points. Numerical results on two benchmark FOCPs including a fractional bang–bang problem demonstrate the performance of the proposed methods.en_US
dc.description.sponsorshipMOE (Min. of Education, S’pore)en_US
dc.language.isoenen_US
dc.relation.ispartofseriesAutomaticaen_US
dc.rights© 2016 Elsevier Ltd.en_US
dc.subjectOptimal Controlen_US
dc.subjectPseudospectral Methodsen_US
dc.titleA new framework for solving fractional optimal control problems using fractional pseudospectral methodsen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.identifier.doihttp://dx.doi.org/10.1016/j.automatica.2016.12.022


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