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 ...Show MoreMetadata
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 H1 norm for the system. A numerical simulation illustrates the effectiveness of the control design.
Published in: 2018 IEEE Conference on Decision and Control (CDC)
Date of Conference: 17-19 December 2018
Date Added to IEEE Xplore: 20 January 2019
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