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Control of parabolic PDE systems with time varying spatial boundary conditions using a novel nonlinear backstepping scheme | ||
| AUT Journal of Modeling and Simulation | ||
| مقاله 1، دوره 52، شماره 1، شهریور 2020، صفحه 3-10 اصل مقاله (963.94 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/miscj.2017.13216.5064 | ||
| نویسندگان | ||
| hamed shirinabadi farahani1؛ Heidar Ali Talebi* 2؛ Mohammad Bagher Menhaj3 | ||
| 1Amirkabir University Of Technology | ||
| 2amir kabir | ||
| 3Electrical Engineering,AmirKabir University, Tehran,Iran | ||
| چکیده | ||
| In this paper, an extension of backstepping controller for parabolic PDE systems (Heat Transfer Process) with time-varying spatial boundary is studied. The PDE system dynamics is transformed to an exponentially stable target system via a new nonlinear backstepping transformation. The exponential stability of the closed-loop system is established by using a proper Lyapunov function. Finally, numerical simulation is provided to support the effectiveness of the proposed controller. | ||
| کلیدواژه‌ها | ||
| Boundary Control of PDE؛ Distributed Systems؛ Backstepping Transformation | ||
| مراجع | ||
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[1] A. Armaou and P.D. Christofides, “Robust control of parabolic PDE systems with time-dependent spatial domains”, Automatica, 2001
[2] B. Zalba, J.M. Marin, L.F. Cabeza, and H. Mehling, “ Review on thermal energy storage with phase change: materials, heat transfer analysis and applications”, Applied Thermal Engineering, 2003
[3] F. Conrad, D. Hilhorst, and T.I. Seidman, “ Well-posedness of a moving boundary problem arising in a dissolution-growth process”, Nonlinear Analysis, 1990
[4] J. Abdollahi, M. Izadi, S. Dubljevic, “Temperature distribution reconstruction in Czochralski crystal growth process with time-varying domain.” AIChE Journal 2013
[5] L. Jadachowski, T. Meurer, A. Kugi, “An efficient implementation of backstepping observers for time-varying parabolic PDEs.” In: The Proceedings of 7th International Conference on Mathematical Modelling,2012
[6] L. Jadachowski, T. Meurer, A. Kugi, “State estimation for parabolic pdes with reactive convective non-linearities.” In: The Proceedings of 12th European Control Conference (ECC). 2013
[7] M. A. Demetriou, “Natural second-order observers for second-order distributed parameter systems.” Systems & control letters 2004
[8] M. Izadi, S. Dubljevic, “Order-reduction of parabolic PDEs with time-varying domain using empirical eigenfunctions.” AIChE Journal 2013
[9] M. Izadi, S. Dubljevic, “Backstepping output-feedback control of moving boundary parabolic PDEs”, European Journal of Control, 2015
[10] M. Krstic, A. Smyshlyaev, “ Boundary control of PDEs: A course on backstepping designs.” SIAM, Philadelphia.2008
[11] M. Krstic, “ Compensating actuator and sensor dynamics governed by diffusion PDEs.” Systems & control letters 2009
[12] P. Kloeden, P. Mar´ın-Rubio, J. Real, “Pullback attractors for a semilinear heat equation in a non-cylindrical domain.” Journal of Differential Equations 2008
[13] T. Meurer, “On the extended Luenberger-type observer for semilinear distributed-parameter systems.” IEEE Transactions on Automatic Control 2013
[14] A.Maidi and J.P.Corriou, Boundary Geometric control of a linear stephan problem, Journal of process control,2014 | ||
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