Fuzzy event-triggered disturbance rejection control of nonlinear systems

Peng Cheng; Yanqing Liu; Yanyan Yin; Song Wang; Feng Pan

doi:10.3934/jimo.2020119

Article Contents

2021, Volume 17, Issue 6: 3297-3307. Doi: 10.3934/jimo.2020119

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Fuzzy event-triggered disturbance rejection control of nonlinear systems

1.
Key laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, China
2.
School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, Western Australia, 6102, Australia
3.
School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, GPO Box U1987, Perth, WA6845, Australia

^* Corresponding author: Feng Pan
^* Corresponding author: Feng Pan

Received: September 30, 2019

Revised: February 29, 2020

Early access: June 2020

Published: November 2021

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Abstract

The problem of fuzzy based event-triggered disturbance rejection control for nonlinear systems is addressed in this paper. A new fuzzy event based anti rejection controller is designed and a fuzzy reduced disturbance observer is constructed. Sufficient conditions for the closed loop system to be asymptotically stable under an $ H_\infty $ performance index are derived. Based on these conditions, the design of a fuzzy event-triggered state feedback controller is formulated and solved. Numerical results are presented to demonstrate the correctness and effectiveness of our theoretical findings.

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Mathematics Subject Classification: Primary: 93C55, 93D09; Secondary: 93B05.

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Figure 1. System trajectories under disturbance rejection controller

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Figure 2. Estimation of disturbance

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