Event-based adaptive fuzzy control design for nonstrict-feedback nonlinear time-delay systems with state constraints

Yongchao Liu; Qidan Zhu; Lipeng Wang

doi:10.1016/j.isatra.2021.07.001

Event-based adaptive fuzzy control design for nonstrict-feedback nonlinear time-delay systems with state constraints

ISA Trans. 2022 Jun:125:134-145. doi: 10.1016/j.isatra.2021.07.001. Epub 2021 Jul 6.

Authors

Yongchao Liu¹, Qidan Zhu², Lipeng Wang¹

Affiliations

¹ College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China; Key laboratory of Intelligent Technology and Application of Marine Equipment (Harbin Engineering University), Ministry of Education, Harbin, 150001, China.
² College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, China; Key laboratory of Intelligent Technology and Application of Marine Equipment (Harbin Engineering University), Ministry of Education, Harbin, 150001, China. Electronic address: heu406@126.com.

PMID: 34274070
DOI: 10.1016/j.isatra.2021.07.001

Abstract

This article considers the issue of event-triggered adaptive fuzzy control for state-constrained nonstrict-feedback nonlinear time-delay systems. The adverse effect of time-delay is effectively overcome by choosing the approximate Lyapunov-Krasovskii functional. The fuzzy logic systems are utilized to address unknown dynamics. The computation complexity is reduced by taking the norm of fuzzy weight vector as estimation. The barrier Lyapunov function is employed to ensure the prescribed constraints. To decrease the update frequency of control signal, event-triggered mechanism is fused into backstepping design process. The semi-globally uniformly ultimately bounded (SGUUB) of the closed-loop system is proved by virtue of Lyapunov stability analysis. Two simulation examples are given to account for the usefulness of the developed method.

Keywords: Backstepping design; Event-triggered; Nonstrict-feedback; State constraints; Time-delay.