no code implementations • 28 Dec 2023 • Shanshan Wang, Mamadou Diagne, Miroslav Krstić
In this paper we establish the continuity of the mapping from (a total of five) plant PDE functional coefficients to the kernel PDE solutions, prove the existence of an arbitrarily close DeepONet approximation to the kernel PDEs, and establish that the DeepONet-approximated gains guarantee stabilization when replacing the exact backstepping gain kernels.
no code implementations • 21 Aug 2023 • Shanshan Wang, Mamadou Diagne, Miroslav Krstić
Multiple operators arise in the control of PDE systems from distinct PDE classes, such as the system in this paper: a reaction-diffusion plant, which is a parabolic PDE, with input delay, which is a hyperbolic PDE.
no code implementations • 26 Apr 2023 • Bhathiya Rathnayake, Mamadou Diagne
This paper presents an event-triggered boundary control strategy for a class of reaction-diffusion PDEs with time-varying reactivity under Robin actuation.
no code implementations • 2 Oct 2022 • Bhathiya Rathnayake, Mamadou Diagne
This paper provides an observer-based event-triggered boundary control strategy for the one-phase Stefan problem using the position and velocity measurements of the moving interface.
no code implementations • 7 Aug 2021 • Bhathiya Rathnayake, Mamadou Diagne, Iasson Karafyllis
It is shown that the continuous-time output feedback boundary control applied in a sample-and-hold fashion ensures global closed-loop exponential stability, provided that the sampling period is sufficiently small.
no code implementations • 24 Sep 2020 • Bhathiya Rathnayake, Mamadou Diagne, Nicolas Espitia, Iasson Karafyllis
This paper presents an observer-based event-triggered boundary control strategy for a class of reaction-diffusion PDEs with Robin actuation.
