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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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