Observer-based finite-time adaptive fuzzy back-stepping control for MIMO coupled nonlinear systems-Reference-Cited by-同舟云学术

Observer-based finite-time adaptive fuzzy back-stepping control for MIMO coupled nonlinear systems

Published:2022 Issue:10 Volume:19 Page:10637-10655
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Wang Chao¹,Zhang Cheng¹,He Dan²,Xiao Jianliang¹,Liu Liyan¹

Affiliation:

1. School of Computer Engineering, City Institute, Dalian University of Technology, Dalian 116000, China

2. School of Management, Dalian University of Finance and Economics, Dalian 116000, China

Abstract

<abstract> <p>An attempt is made in this paper to devise a finite-time adaptive fuzzy back-stepping control scheme for a class of multi-input and multi-output (MIMO) coupled nonlinear systems with immeasurable states. In view of the uncertainty of the system, adaptive fuzzy logic systems (AFLSs) are used to approach the uncertainty of the system, and the unmeasured states of the system are estimated by the finite-time extend state observers (FT-ESOs), where the state of the observer is a sphere around the state of the system. The accuracy and efficiency of the control effect are ensured by combining the back-stepping and finite-time theory. It is proved that all the states of the closed-loop adaptive control system are semi-global practical finite-time stability (SGPFS) by the finite-time Lyapunov stability theorem, and the tracking errors of the system states converge to a tiny neighborhood of the origin in a finite time. The validity of this scheme is demonstrated by a simulation.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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