Title
Adaptive finite-time control of stochastic nonlinear systems with actuator failures
Abstract
This paper investigates a finite-time tracking control of stochastic nonlinear systems with actuator failures. As the nonlinearities and actuator failures are completely unknown, the existing control methods are unavailable. By applying an approximation property of fuzzy logic systems, an adaptive finite-time control strategy is presented. Since the existing finite time stability criterion can not deal with the finite time control under the effect of approximation error, Lemma 5 is first established. Under the proposed scheme, the actuator failures are compensated successfully, and the finite-time tracking performance and stability of stochastic nonlinear system are assured. Based on Lemma 5 and Jessen's inequality, the finite-time stability of stochastic nonlinear systems is proved.
Year
DOI
Venue
2019
10.1016/j.fss.2018.12.005
Fuzzy Sets and Systems
Keywords
Field
DocType
Adaptive fuzzy control,Actuator failures,Finite-time stability,Stochastic nonlinear systems
Discrete mathematics,Stability criterion,Nonlinear system,Control theory,Finite time control,Approximation property,Approximation error,Lemma (mathematics),Mathematics,Actuator,Finite time
Journal
Volume
ISSN
Citations 
374
0165-0114
5
PageRank 
References 
Authors
0.43
40
4
Name
Order
Citations
PageRank
Fang Wang1554.44
Zhi Liu2107853.09
Yun Zhang357630.23
C. L. Philip Chen44022244.76