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Time- and state-dependent input delay-compensated bang-bang control of a screw extruder for 3D printing

Diagne Mamadou, Bekiaris-Liberis Nikolaos, Krstić, Miroslav

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/22ECA9F5-3BA3-4234-8904-0C22E89DC100-
Αναγνωριστικόhttps://doi.org/10.1002/rnc.3761-
Αναγνωριστικόhttp://onlinelibrary.wiley.com/doi/10.1002/rnc.3761/abstract;jsessionid=781112115709A3630D330956F2BBDE5A.f02t04-
Γλώσσαen-
Μέγεθος31 pagesen
ΤίτλοςTime- and state-dependent input delay-compensated bang-bang control of a screw extruder for 3D printingen
ΔημιουργόςDiagne Mamadouen
ΔημιουργόςBekiaris-Liberis Nikolaosen
ΔημιουργόςΜπεκιαρης-Λυμπερης Νικολαοςel
ΔημιουργόςKrstić, Miroslaven
ΕκδότηςJohn Wiley and Sonsen
ΠερίληψηIn this paper, a delay-compensated bang-bang control design methodology for the control of the nozzle output flow rate of screw extruder-based three-dimensional printing processes is developed. A geometrical decomposition of the screw extruder in a partially and a fully filled regions allows to describe the material convection in the extruder chamber by a one-dimensional hyperbolic partial differential equation (PDE) coupled with an ordinary differential equation. After solving the hyperbolic PDE by the method of characteristics, the coupled PDE–ordinary differential equation's system is transformed into a nonlinear state-dependent input delay system. The aforementioned delay system is extended to the non-isothermal case with the consideration of periodic fluctuations acting on the material's convection speed, which represent the process variabilities due to temperature changes in the extruder chamber, resulting to a nonlinear system with an input delay that simultaneously depends on the state and the time variable. Global exponential stability of the nonlinear delay-free plant is established under a piecewise exponential feedback controller that is designed. By combining the nominal, piecewise exponential feedback controller with nonlinear predictor feedback, the compensation of the time-dependent and state-dependent input delay of the extruder model is achieved. Global asymptotic stability of the closed-loop system under the bang-bang predictor feedback control law is established when certain conditions related to the extruder design and the material properties, as well as to the magnitude and frequency of the materials transport speed variations, are satisfied. Simulations results are presented to illustrate the effectiveness of the proposed control design. en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2018-03-16-
Ημερομηνία Δημοσίευσης2017-
Θεματική Κατηγορία3D printingen
Θεματική ΚατηγορίαBang-bang controlen
Θεματική ΚατηγορίαCoupled PDE/ODEen
Θεματική ΚατηγορίαExtrusionen
Θεματική ΚατηγορίαTime-varying delayen
Βιβλιογραφική ΑναφοράM. Diagne, N. Bekiaris-Liberis and M. Krstic, "Time- and state-dependent input delay-compensated bang-bang control of a screw extruder for 3D printing," Int. J. Robust Nonlin. Control, vol. 27, no. 17, pp. 3727-3757, Nov. 2017. doi:10.1002/rnc.3761en

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