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AuthorXu, Qingqing
AuthorAksikas, Ilyasse
AuthorDubljevic, Stevan
Available date2020-06-23T20:45:42Z
Publication Date2019
Publication NameInternational Journal of Control
ResourceScopus
ISSN207179
URIhttp://dx.doi.org/10.1080/00207179.2018.1442024
URIhttp://hdl.handle.net/10576/15128
AbstractThe present work proposes an extension of single-step formulation of full-state feedback control design to the class of distributed parameter system described by nonlinear hyperbolic partial differential equations (PDEs). Under a simultaneous implementation of a nonlinear coordinate transformation and a nonlinear state feedback law, both feedback control and stabilisation design objectives given as target stable dynamics are accomplished in one step. In particular, the mathematical formulation of the problem is realised via a system of first-order quasi-linear singular PDEs. By using Lyapunov's auxiliary theorem for singular PDEs, the necessary and sufficient conditions for solvability are utilised. The solution to the singular PDEs is locally analytic, which enables development of a PDE series solution. Finally, the theory is successfully applied to an exothermic plug-flow reactor system and a damped second-order hyperbolic PDE system demonstrating ability of in-domain nonlinear control law to achieve stabilisation. - 2018, - 2018 Informa UK Limited, trading as Taylor & Francis Group.
SponsorNSERC [grant number RGPIN-2016-06670].
Languageen
PublisherTaylor and Francis Ltd.
Subjectdamped wave equation
distributed-parameter systems
exothermic plug-flow reactor
Lyapunov's auxiliary theorem
single-step full-state feedback design
TitleSingle-step full-state feedback control design for nonlinear hyperbolic PDEs
TypeArticle
Pagination2484-2498
Issue Number11
Volume Number92
dc.accessType Abstract Only


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