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

• Published in: Mathematical biosciences and engineering : MBE Vol. 19; no. 12; pp. 12334 - 12352
• Main Authors: Wang, Chaoyue, Ma, Zhiyao, Tong, Shaocheng
• Format: Journal Article
• Language: English
• Published: United States AIMS Press 24.08.2022
• Subjects: backstepping control; dynamic surface control; event-triggered control; fractional-order nonlinear system; output-feedback control; event-triggered control; dynamic surface control; output-feedback control; fractional-order nonlinear system; backstepping control
• ISSN: 1551-0018; 1551-0018
• DOI: 10.3934/mbe.2022575

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.