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Adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown hysteresis
Wang F.; Liu Z.; Zhang Y.; Chen C.L.P.
2016
Source PublicationIEEE Transactions on Fuzzy Systems
ISSN10636706
Volume24Issue:1Pages:140
Abstract

This paper addresses the problem of adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown direction hysteresis. Compared with the existing researches on hysteresis problem, the stochastic disturbances and the unknown hysteresis are simultaneously considered in the pure-feedback systems. In addition, the hysteresis parameters as well as the direction of hysteresis are unknown. By introducing an auxiliary virtual controller and employing the new properties of Nussbaum function, the major technique difficulty arising from the unknown direction hysteresis is overcome. Based on the fuzzy logic system's online approximation capability, a novel adaptive fuzzy control scheme is presented via the backstepping technique. It is shown that the proposed control scheme guarantees that all the signals of the closed-loop system are semiglobally uniformly bounded in probability, and the tracking error converges to a neighborhood of the origin in the sense of mean quantic value. Finally, simulation results further demonstrate the effectiveness of the proposed control scheme. © 1993-2012 IEEE.

KeywordAdaptive Fuzzy Control Nonlinear Systems Stochastic Pure-feedback Unknown Direction Hysteresis
DOI10.1109/TFUZZ.2015.2446531
URLView the original
Language英語English
WOS IDWOS:000370764100012
The Source to ArticleScopus
Scopus ID2-s2.0-84962073553
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Recommended Citation
GB/T 7714
Wang F.,Liu Z.,Zhang Y.,et al. Adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown hysteresis[J]. IEEE Transactions on Fuzzy Systems, 2016, 24(1), 140.
APA Wang F.., Liu Z.., Zhang Y.., & Chen C.L.P. (2016). Adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown hysteresis. IEEE Transactions on Fuzzy Systems, 24(1), 140.
MLA Wang F.,et al."Adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown hysteresis".IEEE Transactions on Fuzzy Systems 24.1(2016):140.
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