Event-triggered control for boundary controlled time-fractional diffusion systems with spatially-varying coefficients

Fudong Ge and YangQuan Chen

Applied Mathematics and Computation, 2024, vol. 478, issue C

Abstract: In this paper, an event-triggered control scheme is proposed for boundary controlled time-fractional diffusion systems with a semilinear function and the spatially-varying coefficients. Toward this aim, backstepping method is utilized. The use of backstepping allows us to explicitly express our proposed event-triggered boundary controllers. Specifically, we first discuss well-posedness of the solution to the problem under consideration. An event-triggered boundary controller is then designed using backstepping to Mittag-Leffler stabilize the system under consideration. After these, we show that our event-triggered controller can efficiently prevent the existence of so-called Zeno phenomenon. Finally, we give a numerical example to illustrate the effectiveness of designed event-triggered boundary control scheme.

Keywords: Event-triggered control; Boundary control; Time-fractional diffusion systems; Fractional-order partial differential equations; Spatially-varying coefficients (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:478:y:2024:i:c:s0096300324002911

DOI: 10.1016/j.amc.2024.128830

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