Adaptive Fuzzy Backstepping Control for Itô-Type Nonlinear Switched Systems Subject to Unknown Hysteresis Input

The adaptive fuzzy backstepping control problem is studied for Itô-type nonlinear switched systems subject to unknown hysteresis input. Compared with existing works, the unknown hysteresis and stochastic disturbances are considered in the pure-feedback switched systems. The mean value theorem tackle...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 12; no. 7; p. 1070
Main Authors: Wan, Xiaohe, Li, Yan
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.04.2024
Subjects:
Adaptive control
adaptive fuzzy control
Analysis
backstepping technique
Control
Controllers
Design
Differential calculus
Fuzzy algorithms
Fuzzy control
Fuzzy logic
Fuzzy sets
Fuzzy systems
Hysteresis
Influence
Investigations
Methods
Neural networks
Nonlinear control
nonlinear stochastic switched systems
Nonlinear systems
Nonlinear theories
Switches
Tracking errors
unknown hysteresis
China
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:The adaptive fuzzy backstepping control problem is studied for Itô-type nonlinear switched systems subject to unknown hysteresis input. Compared with existing works, the unknown hysteresis and stochastic disturbances are considered in the pure-feedback switched systems. The mean value theorem tackles the non-affine functions. The backstepping technique introduces an auxiliary virtual controller. In addition, the Nussbaum function is employed to solve the difficulty caused by the unknown hysteresis under arbitrary switching. Based on a fuzzy logic system and backstepping technique, a new adaptive control proposal is obtained, which ensures that the system states satisfy semiglobally uniformly ultimately bounded (SGUUB) in probability and that the tracking error converges to a region of the origin. Finally, we provide two examples to show the validity of the presented scheme.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12071070