Optimal Controller and Actuator Design for Nonlinear Parabolic Systems
Optimization and Control
2019-10-09 v1 Analysis of PDEs
Abstract
Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is established for semilinear parabolic systems. Optimality equations are provided. The results are shown to apply to optimal controller/actuator design for the Kuramoto-Sivashinsky equation and also nonlinear diffusion.
Keywords
Cite
@article{arxiv.1910.03124,
title = {Optimal Controller and Actuator Design for Nonlinear Parabolic Systems},
author = {M. Sajjad Edalatzadeh and Kirsten A. Morris},
journal= {arXiv preprint arXiv:1910.03124},
year = {2019}
}