Adding integral action for open-loop exponentially stable semigroups and application to boundary control of PDE systems
Analysis of PDEs
2019-01-09 v1
Abstract
The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE (partial differential equation) systems and an example of hyperbolic systems are worked out to show how exponentially stabilizing integral controllers are designed. The proof is based on a novel Lyapunov functional construction which employs the forwarding techniques.
Cite
@article{arxiv.1901.02208,
title = {Adding integral action for open-loop exponentially stable semigroups and application to boundary control of PDE systems},
author = {A Terrand-Jeanne and Vincent Andrieu and Valérie Dos Santos Martins and C. -Z Xu},
journal= {arXiv preprint arXiv:1901.02208},
year = {2019}
}