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المؤلفXu, Qingqing
المؤلفAksikas, Ilyasse
المؤلفDubljevic, Stevan
تاريخ الإتاحة2020-06-23T20:45:42Z
تاريخ النشر2019
اسم المنشورInternational Journal of Control
المصدرScopus
الرقم المعياري الدولي للكتاب207179
معرّف المصادر الموحدhttp://dx.doi.org/10.1080/00207179.2018.1442024
معرّف المصادر الموحدhttp://hdl.handle.net/10576/15128
الملخصThe 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.
راعي المشروعNSERC [grant number RGPIN-2016-06670].
اللغةen
الناشرTaylor and Francis Ltd.
الموضوعdamped wave equation
distributed-parameter systems
exothermic plug-flow reactor
Lyapunov's auxiliary theorem
single-step full-state feedback design
العنوانSingle-step full-state feedback control design for nonlinear hyperbolic PDEs
النوعArticle
الصفحات2484-2498
رقم العدد11
رقم المجلد92
dc.accessType Abstract Only


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