Adaptive Fuzzy Vertical Vibration Suppression Control of the Mechanical-Hydraulic Coupling Rolling Mill System With Input Dead-Zone and Output Constraints

Qian, Cheng; Zhang, Liuliu; Chen, Hua; Bai, Zhenhua

doi:10.1109/access.2020.2992610

Cited by 12 publications

(11 citation statements)

References 40 publications

(81 reference statements)

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“…Table 1 lists the parameters of the 1780 mm hot rolling mill of Chengde Steel Co., Ltd. (Chengde, China) as an example. With the relevant data listed in Table 1, the nonlinear parameters of the dynamic rolling force can be obtained using Equation (18), as listed in Table 2.…”

Section: Analysis Of Vibration Characteristics Of Coupling System Of Hot Rolling Mill Rollsmentioning

confidence: 99%

“…The rolling mill is in a stable state on the curve of origin O, I, IV, and double limit point set D; in the other regions, the jump phenomenon appears. Figures [16][17][18][19][20][21] show that the vertical horizontal coupled vibration system of the hot rolling mill under multi-piecewise nonlinear constraints has a rich static bifurcation behavior, with different bifurcation characteristics under the influence of different parameters. Through the analysis of the bifurcation behavior, the stable region and unsteady parameter region of the coupling system of the hot rolling mill can be determined.…”

Section: Analysis Of Amplitude-frequency Characteristicsmentioning

confidence: 99%

“…In addition, some scholars considered the interaction between the vibration of the rolling mill structure and the workpiece vibration and proposed a coupled vibration model for a roll-rolled piece [16,17]. Qian et al studied the adaptive fuzzy control problem of a rolling mill vibration system and designed a controller to ensure the stability of the mechanical, hydraulic coupling rolling system [18]. In summary, although some advances have been made in the behavior analysis of the coupled vibration of rolling mills, the complex vibration law of the hot rolling mill itself needs to be further explored and verified from different angles.…”

Section: Introductionmentioning

confidence: 99%

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Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Peng

Zhang

Shi

2021

Metals

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This study establishes a vertical–horizontal coupling vibration model of hot rolling mill rolls under multi-piecewise nonlinear constraints considering the piecewise nonlinear spring force and piecewise nonlinear friction force constraints of the hydraulic cylinder in the vertical direction of the rolls, the piecewise stiffness constraints in the horizontal direction, and the influence of the nonlinear dynamic rolling force in the rolling process. Using the average method to solve the amplitude–frequency response equation of the coupled vibration system and taking the actual parameters of a 1780 mm hot rolling mill (Chengde Steel Co., Ltd., Chengde, China) as an example, we study the amplitude–frequency characteristics of the mill rolls under different parameter settings. The results show that the amplitude and resonance region can be reduced by appropriately reducing the external disturbance force and the nonlinear spring force of the hydraulic cylinder, appropriately increasing the nonlinear friction force, and eliminating the gap between the bearing seat and the mill housing, to avoid the amplitude jump phenomenon due to piecewise variation. Furthermore, using the singularity theory to study the static bifurcation characteristics of the coupled vibration system, we establish a relationship between the vibration parameters and the topological bifurcation solution of the coupled system. The transition sets and their corresponding bifurcation topological structure in three cases are given, and the steady and unsteady process parameter regions of the rolls are obtained. The dynamic behavior of the coupled vibration system can be controlled by varying the bifurcation parameter. This study provides a theoretical basis for restraining the vibration of hot rolling mill rolls and optimizing the process parameters.

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Section: Analysis Of Vibration Characteristics Of Coupling System Of Hot Rolling Mill Rollsmentioning

confidence: 99%

Section: Analysis Of Amplitude-frequency Characteristicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Peng

Zhang

Shi

2021

Metals

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“…The ZRM [1]- [3], [17]- [25] is more complex with many rolls than the other rolling mill systems used in hot and cold rolling such as 4-high, 6-high mill, and cluster mill [5], [26]- [28]. The ZRM rolls cluster is composed of 8 AS-U-Rolls, 4 first and 6 second intermediate rolls (IMR), and 2 work rolls.…”

Section: Introductionmentioning

confidence: 99%

“…To obtain a mathematical model of the ZRM, accurate geometric and material information is needed for each roll, and then the complex physical relationship between the rolls needs to be determined. This entails additional cost, and there is no guarantee that the obtained model is accurate owing to incorrect parameter information and model changes such as roll deformation [26], [27], [31].…”

Section: Introductionmentioning

confidence: 99%

Static Model Identification for Sendzimir Rolling Mill Using Noise Corrupted Operation Data

et al. 2020

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A Sendzimir rolling mill (ZRM), one of the rolling mill systems, is a machine used to obtain a steel strip with a desired shape in cold rolling. Model based controllers are mainly used for the shape control, but it is difficult to obtain the mathematical model of the ZRM, so model identification should be used. This study proposes a method identifying static model of the ZRM. To identify the static model of the ZRM, a mill matrix (G m ) is obtained that expresses the linear relation between the actuators, and the shape of the strip and the data obtained through the ZRM's operation are used to obtain G m . However, as the operation data are affected by large measurement noise, and the patterns of the multiple control inputs are not diverse, this results in an inaccurate estimation. Therefore, a data processing method using multiple valid sets of operation data is proposed to estimate G m . Additionally, a G m update method is suggested to estimate the G m whenever a single pass operation is finished, according to the static model change of the plant. The proposed method is verified by comparing the results with the real operation data. This research will be helpful in all industries that use rolling mill machines such as 4-high mill, 6-high mill, and clustering mill in hot and cold rolling.INDEX TERMS Cold rolling, flatness control, mill matrix, model identification, multiple-input and multiple-output, rolling mills, Sendzimir rolling mill, steel industry, static linear model, steel strip, Z-mill

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H$$_{\infty }$$ controller for the vibration suppression of rolling mill systems with time-varying input delay

2023

Self Cite

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The rolling mill system has the characteristic of measurement delay. In order to deal with the effects of time-delayed feedback from strip thickness measurement on vibration suppression, this paper studies the vibration suppression control strategy for the rolling mill system under time varying delay. Initially, the nonlinear rolling force and disturbance are taken into consideration during the dynamic rolling process. The mechanism-hydraulic coupling vibration model is established based on the flow equation and Newton's second law. Meanwhile, input delay caused by strip thickness measurement is considered in the rolling mill system and a time-delayed coupling vibration statespace model is introduced via choosing the appropriate state variables. Secondly, the corresponding linear matrix inequalities (LMIs) are derived from an augmented Lyapunov-Krasovskii functional (LKF) with advanced inequalities and are used to synthesize a controller that can achieve the asymptotical stability and H ∞ performance index. Finally, the effectiveness of the proposed control algorithm is verified by simulation experiment results.

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Adaptive Fuzzy Vertical Vibration Suppression Control of the Mechanical-Hydraulic Coupling Rolling Mill System With Input Dead-Zone and Output Constraints

Cited by 12 publications

References 40 publications

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Static Model Identification for Sendzimir Rolling Mill Using Noise Corrupted Operation Data

H$$_{\infty }$$ controller for the vibration suppression of rolling mill systems with time-varying input delay

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