@inproceedings{a426a2999520451db45b1140c1c9cd53,
title = "Stabilization of time-delay systems by PID controllers",
abstract = "In this paper, we provide a new delay-dependent stabilization scheme for a class of linear time-delay (LTD) systems based on proportional-integral- derivative (PID) H1 feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterizations for proportional-integral-derivative (PID) feedback stabilization is establish in terms of feasibility-testing of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the theoretical developments.",
keywords = "H1 stabilization, LMIs, Proportional-integral-derivative feedback, Time-delay systems",
author = "Magdi, \{S. Mahmoud\}",
year = "2009",
doi = "10.1109/SSD.2009.4956723",
language = "English",
isbn = "9781424443468",
series = "2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009",
booktitle = "2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009",
}