Title
Adaptive Fast Finite-Time Fuzzy Control of Stochastic Nonlinear Systems
Abstract
This article focuses on the adaptive fast finite-time tracking control for a class of stochastic nonlinear systems. To begin with, an adequate qualification is provided for the practically fast finite-time stability. Then, based upon this adequate qualification, a new adaptive fuzzy control scheme is presented. Due to the stochastic disturbance, criteria of the existing fast finite-time stability cannot be applied to the analysis of the stability of stochastic nonlinear systems. To solve this issue, based on Lemma 6, an original criterion of the fast finite-time stability is constructed first in Lemma 7 by using the theorem of the integral mean value. Meanwhile, it would have a huge impact on the analysis of the fast finite-time stability for stochastic nonlinear systems. Finally, a simulation example is carried out for evaluating the validity of the main result.
Year
DOI
Venue
2022
10.1109/TFUZZ.2021.3078820
IEEE Transactions on Fuzzy Systems
Keywords
DocType
Volume
Adaptive fuzzy control,backstepping method,fast finite-time stability,stochastic nonlinear systems
Journal
30
Issue
ISSN
Citations 
7
1063-6706
1
PageRank 
References 
Authors
0.34
25
2
Name
Order
Citations
PageRank
Zhaoyang You111.02
Fang Wang232.80