@article{36374d6a71f24ff1b95b64283c01bd01,
title = "Sampled-data implementation of extended PID control using delays",
abstract = "We study the sampled-data implementation of extended PID control using delays for the nth-order stochastic nonlinear systems. The derivatives are approximated by finite differences giving rise to a delayed sampled-data controller. An appropriate Lyapunov–Krasovskii (L-K) method is presented to derive linear matrix inequalities (LMIs) for the exponential stability of the resulting closed-loop system. We show that with appropriately chosen gains, the LMIs are always feasible for small enough sampling period and stochastic perturbation. We further employ an event-triggering condition that allows to reduce the number of sampled control signals used for stabilization and provide (Formula presented.) -gain analysis. Finally, three numerical examples illustrate the efficiency of the presented approach.",
keywords = "-gain analysis, PID control, event-triggered control, sampled-data control, stochastic perturbations",
author = "Jin Zhang and Emilia Fridman",
note = "Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons Ltd.",
year = "2022",
month = dec,
doi = "10.1002/rnc.5704",
language = "אנגלית",
volume = "32",
pages = "9610--9624",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "John Wiley and Sons Ltd",
number = "18",
}