Saturated feedback stabilizability to trajectories for the Schl\"{o}gl parabolic equation
Optimization and Control
2021-11-03 v1
Abstract
It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schl\"ogl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained control minimizing the classical energy cost functional.
Keywords
Cite
@article{arxiv.2111.01329,
title = {Saturated feedback stabilizability to trajectories for the Schl\"{o}gl parabolic equation},
author = {Behzad Azmi and Karl Kunisch and Sérgio S. Rodrigues},
journal= {arXiv preprint arXiv:2111.01329},
year = {2021}
}
Comments
27pages, 15 figures (33 subfigures), 1 table