Adaptive fuzzy output-feedback event-triggered control for fractional-order nonlinear system

Chaoyue Wang; Zhiyao Ma; Shaocheng Tong; Chaoyue Wang; Zhiyao Ma; Shaocheng Tong

doi:10.3934/mbe.2022575

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 12: 12334-12352. doi: 10.3934/mbe.2022575

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Adaptive fuzzy output-feedback event-triggered control for fractional-order nonlinear system

College of Science, Liaoning University of Technology, Jinzhou 121001, China

Academic Editor: Xiaodi Li

Received: 20 May 2022 Revised: 28 July 2022 Accepted: 05 August 2022 Published: 24 August 2022

This paper studies the issue of adaptive fuzzy output-feedback event-triggered control (ETC) for a fractional-order nonlinear system (FONS). The considered fractional-order system is subject to unmeasurable states. Fuzzy-logic systems (FLSs) are used to approximate unknown nonlinear functions, and a fuzzy state observer is founded to estimate the unmeasurable states. By constructing appropriate Lyapunov functions and utilizing the backstepping dynamic surface control (DSC) design technique, an adaptive fuzzy output-feedback ETC scheme is developed to reduce the usage of communication resources. It is proved that the controlled fractional-order system is stable, the tracking and observer errors are able to converge to a neighborhood of zero, and the Zeno phenomenon is excluded. A simulation example is given to verify the availability of the proposed ETC algorithm.
- fractional-order nonlinear system,
- output-feedback control,
- backstepping control,
- dynamic surface control,
- event-triggered control
Citation: Chaoyue Wang, Zhiyao Ma, Shaocheng Tong. Adaptive fuzzy output-feedback event-triggered control for fractional-order nonlinear system[J]. Mathematical Biosciences and Engineering, 2022, 19(12): 12334-12352. doi: 10.3934/mbe.2022575

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Abstract

This paper studies the issue of adaptive fuzzy output-feedback event-triggered control (ETC) for a fractional-order nonlinear system (FONS). The considered fractional-order system is subject to unmeasurable states. Fuzzy-logic systems (FLSs) are used to approximate unknown nonlinear functions, and a fuzzy state observer is founded to estimate the unmeasurable states. By constructing appropriate Lyapunov functions and utilizing the backstepping dynamic surface control (DSC) design technique, an adaptive fuzzy output-feedback ETC scheme is developed to reduce the usage of communication resources. It is proved that the controlled fractional-order system is stable, the tracking and observer errors are able to converge to a neighborhood of zero, and the Zeno phenomenon is excluded. A simulation example is given to verify the availability of the proposed ETC algorithm.

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