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Shape control in Sendzimir mills using both crown and intermediate roll actuators

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TLDR
In this paper, the shape control problem for a Sendzimir mill, utilising the As-U-Roll shape actuators, is well understood, and a robustness result for the design is developed, since a single controller must therefore be employed for many different schedules.
Abstract
The solution to the shape control problem for a Sendzimir mill, utilising the As-U-Roll shape actuators, is well understood. The tapered first intermediate rolls, however, provide a more powerful shape control device. This paper describes a control philosophy utilising both the As-U-Rolls and first intermediate rolls as shape control mechanisms. A robustness result for the design is developed, which is useful, since such a mill is normally used to roll a large number of materials, and a single controller must therefore be employed for many different schedules. Finally, a variety of simulation results are presented, showing the transient responses and performance of the multivariable shape control system.

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Citations
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Journal ArticleDOI

Cross-directional control on paper machines using Gram polynomials

TL;DR: By modelling the measurements and the actuator positions by polynomials, the mapping between the actuators and the sensors, which is the key element of the current control systems, is effectively eliminated.
Journal ArticleDOI

Cross-directional control of sheet and film processes

TL;DR: This paper reviews recent developments insheet and film process control with particular attention to the effectiveness of existing techniques at addressing the critical aspects of sheet and film processes.
Journal ArticleDOI

Shape control systems for Sendzimir steel mills

TL;DR: The paper compares and contrasts various controller possibilities and is intended to provide a "cookbook" of shape control tools and strategies for Sendzimir mills.
Journal ArticleDOI

Optimization-based automatic flatness control in cold tandem rolling

TL;DR: In this article, the authors proposed control techniques based on quadratic optimization and delay compensation for automatic flatness control in cold tandem mill with five stands, and compared three different strategies: a centralized solution based on a global QP problem that decides the commands to all the actuators, and two decentralized solutions where each actuator command is optimized locally.
Journal ArticleDOI

Multivariable control using the singular value decomposition in steel rolling with quantitative robustness assessment

TL;DR: In this paper, the shape control problem for a Sendzimir cold rolling steel mill has been well documented and application of the Singular Value Decomposition (SVD) allows valuable insight to be gained into the control problem and produces a superior control strategy.
References
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Book

Applied Linear Algebra

TL;DR: In this article, the authors introduce geometric vectors and vector spaces, as well as linear transformations and matrix algebras, for solving equations and finding inverses in matrix algebra.
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