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Main Authors: Wu, Ze-Hao, Deng, Feiqi, Zeng, Pengyu, Zhou, Hua-Cheng, Li, Hongyi
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2303.04296
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author Wu, Ze-Hao
Deng, Feiqi
Zeng, Pengyu
Zhou, Hua-Cheng
Li, Hongyi
author_facet Wu, Ze-Hao
Deng, Feiqi
Zeng, Pengyu
Zhou, Hua-Cheng
Li, Hongyi
contents In this paper, event-triggered active disturbance rejection control (ADRC) is first addressed for a class of uncertain random nonlinear systems driven by bounded noise and colored noise. The event-triggered extended state observer (ESO) and ADRC controller are designed, where two respective event-triggering mechanisms with a fixed positive lower bound for the inter-execution times are proposed. The random total disturbance representing the coupling of nonlinear unmodeled dynamics, external deterministic disturbance, bounded noise, and colored noise is estimated in real time by the event-triggered ESO and compensated in the event-triggered feedback loop. Both the mean square and almost surely practical convergence of the closed-loop systems is shown with rigorous theoretical analysis. Finally, some numerical simulations are implemented to validate the proposed control scheme and theoretical results.
format Preprint
id arxiv_https___arxiv_org_abs_2303_04296
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Event-Triggered Active Disturbance Rejection Control for Uncertain Random Nonlinear Systems
Wu, Ze-Hao
Deng, Feiqi
Zeng, Pengyu
Zhou, Hua-Cheng
Li, Hongyi
Optimization and Control
In this paper, event-triggered active disturbance rejection control (ADRC) is first addressed for a class of uncertain random nonlinear systems driven by bounded noise and colored noise. The event-triggered extended state observer (ESO) and ADRC controller are designed, where two respective event-triggering mechanisms with a fixed positive lower bound for the inter-execution times are proposed. The random total disturbance representing the coupling of nonlinear unmodeled dynamics, external deterministic disturbance, bounded noise, and colored noise is estimated in real time by the event-triggered ESO and compensated in the event-triggered feedback loop. Both the mean square and almost surely practical convergence of the closed-loop systems is shown with rigorous theoretical analysis. Finally, some numerical simulations are implemented to validate the proposed control scheme and theoretical results.
title Event-Triggered Active Disturbance Rejection Control for Uncertain Random Nonlinear Systems
topic Optimization and Control
url https://arxiv.org/abs/2303.04296