• Title/Summary/Keyword: tandem cold mills

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H$_{\infty}$ Control System for Tandem Cold Mills with Roll Eccentricity

  • Kim, Seung-Soo;Kim, Jong-Shik;Yang, Soon-Yong;Lee, Byung-Ryong;Ahn, Kyung-Kwan
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.45-54
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    • 2004
  • In order to meet the requirement for higher thickness accuracy in cold rolling processes, it is strongly desired to have high performance in control units. To meet this requirement, we have considered an output regulating control system with a roll-eccentricity estimator for each rolling stand of tandem cold mills. Considering entry thickness variation as well as roll eccentricity as the major disturbances, a synthesis of multivariable control systems is presented based on H$\sub$$\infty$/ control theory, which can reflect the knowledge of input direction and spectrum of disturbance signals on the design. Then, to reject roll eccentricity effectively, a weight function having some poles on the imaginary axis is introduced. This leads to a non-standard H_ control problem, and the design procedures for solving this problem are analytically presented. The effectiveness of the proposed control method is evaluated through computer simulations and compared to that of the conventional LQ control and feedforward control methods for roll eccentricity.

Multivariable $H_{\infty}$ disturbance rejection control for tandem cold mills (연속 냉간 압연기의 다변수 $H_{\infty}$ 외란제거 제어)

  • 김승수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.391-394
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    • 1997
  • A H$_{\infty}$ control techniques with roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occurred in rolling stand itself of tandem cold mills. A robust controller to the disturbances is designed using H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and knowledge of disturbance spectrum in the frequency domain. And, non-standard H$_{\infty}$ control problem caused by selection of weight function having poles on j.omega. axis is discussed. The evaluation for the resultant controller composed by H$_{\infty}$ synthesis is done through computer simulations. The effectiveness of the proposed method is compared to those of the conventional LQ synthesis method and a feedforward controller against roll eccentricity, which was already studied.ied.

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A Study on Development of Setup Model for Thickness Control in Tandem Cold Rolling Mill (연속냉간압연의 두께제어 모델 개발에 관한 연구)

  • 손준식;김일수;권욱현;최승갑;박철재;이덕만
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.96-103
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    • 2001
  • The quality requirements for thickness accuracy in cold rolling continue to become more stringent, particularly in response to exacting design specification from automotive customers. One of the major impacts from the tighter tolerance level is more unusable product on the head end and tail end of tandem mill coils when the mill is in transition to or from steady state rolling condition. A strip thickness control system for a tandem cold steel rolling mills is composed with blocked non-interacting controller and controllers for strip thickness and tension control of each rolling stands. An intelligent mathematical model included an elastic deformation of strip has been developed and applied to the field in order to predict the rolling force. The simulated results showed that the effect of elastic recovery should be included the model, even if the effect of elastic compression was not important.

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Technology of profile and shape control in the 6-high Tandem cold Rolling Mill (연속 6단 냉간압연기에서 Profile 및 형상제어 압연기술)

  • 박해두
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.08a
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    • pp.142-149
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    • 1999
  • Strip profile and shape control is one of the most important technologies in cold mill, especially for ultra-thin and wide cold strip. The 6-high mills, both of HCMW and UCMW mill, are known to be very effective for the shape controllability. The optimized values of these factors for set-up scheduling were analyzed and found that excellent strip control would be possible by controlling the combination of the influencing factors according to hot coil profile. The important considerations for operation were discussed for individual stand.

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A Study on the Control Model Identification and H(sub)$\infty$ Controller Design for Trandem Cold Mills

  • Lee, Man-Hyung;Chang, Yu-Shin;Kim, In-Soo
    • Journal of Mechanical Science and Technology
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    • v.15 no.7
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    • pp.847-858
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    • 2001
  • This paper considers the control model identification and H(sub)$\infty$ controller design for a tandem cold mill (TCM). In order to improve the performance of the existing automatic gauge control (AGC) system based on the Taylor linearized model of the TCM, a new mathematical model that can complement the Taylor linearized model is constructed by using the N4SID algorithm based on subspace method and the least squares algorithm based on ARX model. It is shown that the identified model had dynamic characteristics of the TCM than the existing Taylor linearized model. The H(sub)$\infty$ controller is designed to have robust stability to the system parameters variation, disturbance attenuation and robust tracking capability to the set-up value of strip thickness. The H(sub)$\infty$ servo problem is formulated and it is solved by using LMI (linear matrix inequality) techniques. Simulation results demonstrate the usefulness and applicability of the proposed H(sub)$\infty$ controller.

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Mathematical Model of Rolling Force Estimation in Strip Cold Mill (박판 냉간압연공정에 있어서의 압연하중 예측모델에 관한 연구)

  • Baek, Nam-Joo;Kim, Jin-Wook;Park, Hae-Doo;Cho, Yong-Yee;Kim, Hee-Song
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.4
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    • pp.140-148
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    • 1990
  • A mathemetical medel has been developed for the purpose of estimating the rolling force required for computer control of cold strip mills. The model consists of equations of rolling force. flow stress. friction coefficient and tension. By applying the model to a 6-High cold tandem mill, the computer simulation is then been possible for all kinds of steels except stainless steel and the effectiveness of the model has been confirmed in the practice.

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A Job Sequencing Model for Cold Coil Production Processes (냉연 공정에서의 작업단위 편성)

  • Jun, C.H.;Lee, S.M.;Park, C.S.;Kang, S.Y.;Chang, S.Y.;Choi, I.J.;Kang, J.T.
    • IE interfaces
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    • v.6 no.2
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    • pp.117-131
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    • 1993
  • A job sequencing model is developed and its computer system is tested for processing cold-rolled coils in Tandem Cold Mills(TCM) at the Pohang Iron and Steel Company. Given coils waiting to be processed, this system generates a sequence of jobs satisfying operational constraints for the TCM process. We formulate the problem as a constraint satisfaction problem and employ the backtracking technique combined with looking ahead features in order to generate a feasible solution within a reasonable time. Our system is implemented in C language on 80486-based IBM PC. Some tests based on the real data show that our system is adequate with respect to search time and that it consistantly generates a good feasible solution.

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Design of Two-DOF Optimal Controller for Strip Gage and Tension Control of Cold Tandem Mills Using Reference Shaping Filter and Disturbance Observer (목표치 정형화 및 외란 관측기를 활용한 연속 냉간압연 시스템의 2-자유도 스트립 두께 및 장력 최적 제어기 설계)

  • Hong, Wan-Kee;Kang, Hyun-Seok;Hwang, I-Cheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.2
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    • pp.237-244
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    • 2012
  • This paper studies the design of a two-DOF optimal controller for the strip gauge-tension of cold tandem mill processes, that uses a reference shaping filter and a disturbance observer. First, a mathematical model of the strip gauge and tension system is constructed using the gauge meter equation and Hooke's law, respectively. Next, a two-DOF controller considering of a feedforward controller and a feedback controller is designed. The former is based on the reference shaping filter and the disturbance observer, and the latter is based on the ILQ optimal control algorithm. Finally, it is shown through a computer simulation that the proposed optimal controller is able to improve the strip gauge accuracy and the tension variation more than the conventional MV-AGC controller.