Year: 2025
Type: article
Abstract: The trajectory tracking problem (TTP) refers to the procedure of finding an input control which steers the system output to follow a predefined path. In this paper we investigate the TTP for controlled systems governed by a class of 2-D hyperbolic PDEs in which we target a perfect matching of an output with a desired trajectory. The controller as well as the corresponding state response are explicitly given by means of the target trajectory and the solutions of appropriate kernel PDEs. The approach is based on backstepping techniques, the Laplace transform, and the Green's functions.
DOI: 10.3934/mcrf.2025046
Authors: Mustapha El Hassani, Abdelhadi Elharfi, Samir El Mourchid
Institution: Université Ibn Zohr
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413197159