Dynamic Periodic Event-Triggered Control for Linear Systems Based on Partial State Information

Mahmoud Abdelrahim, Mahmoud Abdelrahim, Dhafer Almakhles

2023

Abstract

We are interested in the design of satabilizing event-driven controllers for linear time-invariant systems. We assume that the plant state is partially known and the feedback signal is sent to the controller at discrete-time instants via a digital channel and we synthesize an event-triggered controller based solely on the available plant measurement. The event-triggering law that we construct is novel and only verified at periodic time instants, i.e., periodic event-triggering mechanism, which is more adapted to practical implementation. The proposed approach ensures a global asymptotic stability property for the closed-loop system under mild conditions. The overall model is developed as a hybrid dynamical system to truly describe the mixed continuous-time and discrete-time dynamics. The stability is studied using appropriate Lyapunov functions. The efficiency of the technique is illustrated on a numerical example.

Paper Citation

in Harvard Style

Abdelrahim M. and Almakhles D. (2023). Dynamic Periodic Event-Triggered Control for Linear Systems Based on Partial State Information. In Proceedings of the 20th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-670-5, SciTePress, pages 206-213. DOI: 10.5220/0012183600003543

in Bibtex Style

@conference{icinco23,
author={Mahmoud Abdelrahim and Dhafer Almakhles},
title={Dynamic Periodic Event-Triggered Control for Linear Systems Based on Partial State Information},
booktitle={Proceedings of the 20th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2023},
pages={206-213},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012183600003543},
isbn={978-989-758-670-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 20th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Dynamic Periodic Event-Triggered Control for Linear Systems Based on Partial State Information
SN - 978-989-758-670-5
AU - Abdelrahim M.
AU - Almakhles D.
PY - 2023
SP - 206
EP - 213
DO - 10.5220/0012183600003543
PB - SciTePress