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control of parabolic pde systems with time varying spatial boundary conditions using a novel nonlinear backstepping scheme
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نویسنده
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shirinabadi farahani hamed ,talebi heidar ali ,menhaj mohammad bagher
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منبع
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aut journal of modeling and simulation - 2020 - دوره : 52 - شماره : 1 - صفحه:1 -7
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چکیده
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In this paper, an extension of backstepping controller for parabolic pde systems (heat transfer process) with timevarying 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 closedloop system is established by using a proper lyapunov function. finally, numerical simulation is provided to support the effectiveness of the proposed controller.
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کلیدواژه
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boundary control of pde ,distributed systems ,backstepping transformation
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آدرس
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amirkabir university of technology, department of electrical engineering, iran, amirkabir university, department of electrical engineering, iran, amirkabir university, department of electrical engineering, iran
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پست الکترونیکی
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menhaj@aut.ac.ir
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Authors
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