Modeling and vertical torsional coupling vibration control of the rolling mill with full state constraints

This article establishes a mechanical‐electrical‐hydraulic vertical torsional coupling vibration mathematical model, and investigates its vibration suppression control strategy with time varying full state constraints for the rolling mill vertical torsional coupling vibration system. Firstly, the me...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2022-06, Vol.32 (9), p.5501-5519
Main Authors: Qian, Cheng, Xu, Jiajun, Hua, Changchun, Park, Kyoung‐Su
Format: Article
Language:English
Subjects:
adaptive control
Algorithms
Control algorithms
Control systems design
Control theory
Coordinate transformations
Coupling
Damping
Hydraulics
Mathematical analysis
Mathematical models
Neural networks
nonlinear modeling
Rolling mills
state constraints
Torsional vibration
Transformations (mathematics)
vertical torsional coupling vibration
Vibration control
vibration suppression
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Summary:This article establishes a mechanical‐electrical‐hydraulic vertical torsional coupling vibration mathematical model, and investigates its vibration suppression control strategy with time varying full state constraints for the rolling mill vertical torsional coupling vibration system. Firstly, the mechanical‐electrical‐hydraulic vertical torsional coupling vibration nonlinear model is developed using dynamic theory, which takes into account nonlinear damping, nonlinear rolling force and the coupling relationship between the vertical vibration system and the torsional vibration system. Then, nonlinear constraint transformation functions and coordinate transformations are implemented to remove the feasibility condition in handling the full state constraints problem, and neural networks are used to approximate unknown nonlinear functions. Furthermore, the vibration suppression control algorithm of the mechanical‐electrical‐hydraulic vertical torsional coupling system is designed with the specific sequence backstepping method and dynamic surface control technique, which can resolve the problem of nesting in the controller design process. Finally, the effective of the proposed method on vibration suppression is verified by the simulation.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.6098