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

Qian, Cheng; Xu, Jiajun; Chen, Hua; Park, Kyoung‐Su

doi:10.1002/rnc.6098

Cited by 6 publications

(3 citation statements)

References 37 publications

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“…In consideration of the MDSORM in the rolling process may encounter external perturbations and consider nonlinear factors and the impact of biting steel shock vibration on the MDSORM, the establishment of the MDSORM nonlinear failure model as (Qian et al, 2022; Zhang and Li, 2023)…”

Section: The Fault System Mathematical Modelmentioning

confidence: 99%

Sliding-mode observer-based fault diagnosis and fault-tolerant control of the main drive system of rolling mill

Zhang,

Li,

Liang

2023

Transactions of the Institute of Measurement and Control

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In order to address the problem that the main drive system of rolling mill is easily affected by the impact of biting steel, and considering the nonlinear friction damping and the external perturbations of the main drive system of rolling mill during the rolling process, a fault model of the main drive system of rolling mill is established, and a fault diagnosis and fault tolerance control method of the main drive system of rolling mill based on the nonlinear sliding-mode observer is proposed. In order to suppress the influence of external perturbations on fault diagnosis, a nonlinear sliding-mode observer is constructed for fault diagnosis and fault reconfiguration of the system, and the robustness of the observer to fault reconfiguration is improved by using the sliding-mode control rate [Formula: see text], and the stability of the designed nonlinear sliding-mode observer is proved using Lyapunov’s stability theorem. In order to ensure that the system can operate normally even after a fault occurs, a reference model is designed, and a new controller is redesigned for fault-tolerant control of the system by adding a fault compensation term to the original control scheme using fault estimation information. Through the simulation study of the main drive system of stand F4 of 2030 mm cold rolling mill, it is verified that the observer can accurately track the system state with an angular velocity error of 2.45% and detect and estimate the main drive system failure of rolling mill with an estimation error of no more than 0.04% after a fault occurs; the fault-tolerant control of the main drive system of rolling mill is carried out by using the fault information to restore the system to its normal state, and the angular velocity error is 1.89%.

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Section: The Fault System Mathematical Modelmentioning

confidence: 99%

Sliding-mode observer-based fault diagnosis and fault-tolerant control of the main drive system of rolling mill

Zhang,

Li,

Liang

2023

Transactions of the Institute of Measurement and Control

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“…Inspired by the analysis above, this paper investigates the adaptive control problem of time‐delay nonlinear HOFA systems with unmodeled dynamics and unknown dead‐zone input based on the HOFA systems approach. Compared with the existing results on the HOFA systems, the main contributions of the research are listed below: Different from the work of Zhang et al 13 in order to deal with unmodeled dynamics in time‐delay nonlinear HOFA systems, the idea of changing the supply rate is combined with the HOFA systems approach, extending the applied scope of the HOFA systems approach. By introducing an adaptive dead‐zone inverse, the influence of the unknown asymmetrical dead‐zone input nonlinearity can be compensate, and the idea of robust control is applied to offset the compensation error between the dead‐zone output and the designed controller. In comparison with the approach of Tong et al 25‐27 the adaptive controller design in this paper applies HOFA systems approach, which avoids the problem of repeatedly designing virtual controllers in the backstepping method, and the system stability analysis process is more convenient based on a Lyapunov‐Krasovskii function. …”

Section: Introductionmentioning

confidence: 99%

“…3. In comparison with the approach of Tong et al [25][26][27] the adaptive controller design in this paper applies HOFA systems approach, which avoids the problem of repeatedly designing virtual controllers in the backstepping method, and the system stability analysis process is more convenient based on a Lyapunov-Krasovskii function.…”

mentioning

confidence: 99%

Adaptive control of time‐delay nonlinear HOFA systems with unmodeled dynamics and unknown dead‐zone input

Zhang

Wang

Chen

2022

Intl J Robust & Nonlinear

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This paper focuses on the control problem of time-delay nonlinear high-order fully actuated (HOFA) systems with unmodeled dynamics and unknown dead-zone input. The primary objective of this paper is to design an adaptive controller by using the HOFA systems approach. To do so, we need to tackle some technical obstacles. Firstly, in order to deal with unmodeled dynamics in the HOFA systems, the technique of changing the supply rate is combined with the HOFA systems approach. Secondly, an adaptive dead-zone inverse is constructed to compensate for the influence of the unknown asymmetrical dead-zone input nonlinearity. Then, the controller is designed by the HOFA systems approach, and it is proved that all states of the systems converge to a bounded region based on the Lyapunov-Krasovskii functions. Finally, the simulation results demonstrate the effectiveness of the designed adaptive controller. K E Y W O R D Sadaptive controller designs, dead-zone input, fully actuated nonlinear systems, time-delay systems, unmodeled dynamics INTRODUCTIONIn recent years, the HOFA systems approach has received much attention, 1-7 which has been proven to be very effective and simple in dealing with the analysis and control problems of second-order or higher-order nonlinear systems such as Lagrangian systems, angular momentum, inverted pendulum systems, and so forth. A significant advantage of this approach is that a linear constant closed-loop system with an arbitrary assignable eigenstructure can be obtained, and all the design degrees of freedom existing in the closed-loop system are provided. Therefore, the feature helps to deal with many nonlinear system control problems, such as robust control, 3 adaptive control, 4 robust adaptive control, 5 disturbance attenuation 6 and disturbance decoupling. 7 On the basis of the study above, Liu 8 investigated the control problem of HOFA nonlinear systems with time-varying delays in the discrete-time domain. The problem of adaptive control for a class of time-delay systems was studied by the HOFA systems approach, 9 and a continuous adaptive controller was designed for the system. However, among the above results, it should be pointed out that there is still content for development based on the HOFA systems approach to deal with nonlinear problems such as nonlinear time-delay, unmodeled dynamics and dead-zone input, and so forth. It is well known that time-delay is widespread in the practical control systems, such as electrical power systems, communication systems, teleoperation systems, chemical reactor systems, and so forth. [10][11][12] Besides, as we all know, many systems cannot be accurately modeled due to certain factors when dealing with the control problems of practical physical systems, so we often encounter nonlinear systems with unmodeled dynamics. The existence of time-delay

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Modeling and adaptive vibration control for variable-length strip rolling systems with actuator faults and output constraints

Qian,

Hua,

Zhang

et al. 2023

Nonlinear Dyn

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

Cited by 6 publications

References 37 publications

Sliding-mode observer-based fault diagnosis and fault-tolerant control of the main drive system of rolling mill

Sliding-mode observer-based fault diagnosis and fault-tolerant control of the main drive system of rolling mill

Adaptive control of time‐delay nonlinear HOFA systems with unmodeled dynamics and unknown dead‐zone input

Modeling and adaptive vibration control for variable-length strip rolling systems with actuator faults and output constraints

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