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- W2913658839 abstract "This paper pursuits control design for an unstable reaction-diffusion equation with arbitrarily large input delay affecting the in-domain actuator. A transport PDE whose solution captures the effect of the time delay is introduced resulting in an extended spatial domain in which two PDEs are in cascade. More precisely, a coupled system containing the considered system without explicit delay and a transport PDE is derived. We apply the PDE backstepping method to design a controller which compensates the effect of the delay, for the coupled system. A Dirac delta function is employed as an initial condition of the kernel functions which are the control gains weighting the state feedback, so that the in domain input delay can be compensated. The compensated feedback control achieves exponential stability in H <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</sup> norm for the system. A numerical simulation illustrates the effectiveness of the control design." @default.
- W2913658839 created "2019-02-21" @default.
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- W2913658839 date "2018-12-01" @default.
- W2913658839 modified "2023-09-27" @default.
- W2913658839 title "Stabilization of Reaction-Diffusion PDE Distributed Actuation and Input Delay" @default.
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- W2913658839 doi "https://doi.org/10.1109/cdc.2018.8619657" @default.
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