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 • 9 May 2022 • Bo wang, Sergey Nersesov, Hashem Ashrafiuon, Peiman Naseradinmousavi, Miroslav Krstić
We extend source seeking algorithms, in the absence of position and velocity measurements, and with tuning of the surge input, from velocity-actuated (unicycle) kinematic models to force-actuated generic Euler-Lagrange dynamic underactuated models.